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Mapping Stellar Lives and fates

D

ifferent Stars birth, shine, and die differently. Hello and welcome to our blog called CosmicWisdom, where we talk about the Cosmos and its different aspects. In today's post, we will be exploring the lives of different kinds of stars and their destinies, in brief. Don't be disappointed if you didn't get sufficient information because this is a post that connects several of the stellar life posts that have been published or will be published in the future. Without wasting any time, let's begin.


Introduction:

“Bright blue star glowing in space with halo.


Have you ever thought, when scientists say this star is going to die as a supernova or become a white dwarf, or it lies in this particular phase of its life, how they get those things? If you ask your grandpa, " Do you know when the sun was born? He might say My great-grandpa also asked this question to his grandparents; they will say we see the sun and moon as they look now.

Scientists are indeed humans with an average lifespan of 70-100 years; no single star has ever been born, shone, and died on a human timescale. They actually study the different stars together in a cluster because stars in a stellar cluster form and evolve almost simultaneously.

It's a well-known and proven fact that a star's life is mainly the story of its birth mass, meaning its destiny is tied to the mass it was born with, or it has been on the zero-age main-sequence phase ever since. In the early 1910s, two scientists, Ejnar Hertzprung and Henry Norris Russell, developed a diagram independently called the Hertzsprung-Russell Diagram or HRD, which looks like this:

The Hertzsprung-Russell Diagram
The Hertzsprung-Russell Diagram


Credit:

“Adapted from Hertzsprung–Russell diagram illustration by R.J. Hall, licensed under CC BY‑SA 3.0.”


Hertzsprung-Russell Diagram:


If you used to hate or fear graphs and diagrams in your school exams, because this one is also adorned with wings, horns, and tails like a dragon. No problem, stick with us, and we'll eliminate this monster so that you can know what this is all about. Let's see its four sides.

  • A) On the bottom side, or the X-axis, you can see there are words like Color (B-V) and some numbers. It's the measurement of the star's photosphere (where the light emanates from), whether it appears blue (0.0) or red (+2.0); numbers denote intermediate colors. This generally means that as you move from left to right, stars get cooler because blue means hot and red means cool.
  • B) On the left side, or the Y-axis, you can see the word Luminosity and some numbers. Luminosity means how many photons (particles of light) are emitted from the photosphere. Note this also includes all the types of radiation, like radio, infrared, visible, UV, or Gamma rays. It is measured on a solar scale, meaning the luminosity of the Sun and its multiples for brighter stars or decimal fractions for the faint ones.
  • C) On the top side, spectral classes and temperature are plotted. You can check this article if you wanna know its details. O is the hottest, and M is the coolest; not so cool that you can walk on its surface; it's still around 3000 kelvins. Also, the stellar class colors like Yellow (G), Orange(K), or White(A) are the colors that are connected with spectroscopic observations, not the ones you see with your eyes.
  • D) On the right vertical side, a term called absolute magnitude with its numbers is located. There are basically two kinds of magnitudes: apparent and absolute. Apparent magnitude means the brightness of a light source (a star, for instance), depending on its distance. For example, the Sun would appear brighter on Mercury and fainter on Neptune; in this case, the Sun's apparent magnitude would be -27 from Mercury, -26 from Earth, and -22 from Neptune. The brighter the object, the smaller the number, while faint light sources would be in positive numbers.
Now, let's see the absolute magnitude. It simply means the apparent magnitude from 10 parsecs (~32 light years) without external light-blocking factors like interstellar medium clouds or others.

You now have the idea of this diagram: it's just plotted thousands of stars along with those physical properties of the four sides. You may ask how the hell it will tell the star's life because it only accounts for stars in the current observed time?

Indeed, a lone Hertzsprung-Russell diagram (HRD) can't tell anyone anything magically about the stars and their lives. It requires the study of stellar physics, which is the study of stellar interiors, energy transport, plasma dynamics, virial theorems, state equations, subatomic particle physics, quantum mechanics, and much more, many of which we often discuss in our blog too.

You could say the HRD is basically an observational stellar toolkit or map of the observed region. The image above shows the stars in the solar neighborhood. Of course, you can create such a diagram of any observed region, like the Orion Spur, the Pleades cluster, or anything where stars are found. Therefore, an HRD has a similar role as the periodic table in chemistry or the circle of 5ths in music; say, one term or curious about an entity and its basic info could be known easily, if you know how to interpret.

Luminosity classes:


You can see there are some horizontal lines with labels like main sequence, subgiant, giant, bright giant, and supergiant. These are the names for luminosity classes from V to I or 0. Actually, there are VII for white dwarfs and VI for sub dwarfs, but for this stellar topic, we'll mainly look for those 5 classes. Let's know them briefly.

V-Main sequence: 

When a star is burning hydrogen as a fuel and producing helium in its core, we call such a star a main-sequence star. 90% of a star's life is spent in this stage. In this phase, the star is almost balanced between its fusion energy output and crushing gravity. Depending on mass, we divide stars into three categories: massive (10+ Solar masses), intermediate (2-8 Solar masses), and low mass (1.5-0.08 Solar masses). Further, we'll talk about their life cycle in brief.

IV-Subgiant:

When the main-sequence stars are about to exhaust their hydrogen supply in their cores, gravity starts to crush it, and the star's outer layers (envelope) expand and cool in response. At this time, Fusion in the core is at a minimum and sometimes totally zero fusion activity, and it remains a degenerate helium core, which is very hard to fuse for most of the stars.

That's why hydrogen fusion ignites just outside of the dead core, where it reaches its minimum threshold of about 13 million kelvin and 100 gm/cc of density; it's called shell burning. This way, it adds more helium, and the core grows in mass. An expanding subgiant star's envelope keeps expanding and cooling until it reaches about 5000K or below. When it arrives at this stage, the star settles into the initial periods of the giant phase.

III-Giant:

Expansion of the envelope and contraction of the core halt for some time, in its initial period. The star continues to expand and cool while Hydrogen fusion in a shell keeps adding mass to the core. Low-mass stars spend here too long, while intermediate ones may have a short time. It's a very important crossroad for stellar life, and we'll treat this part specially because many stars die here, some regain their previous colors, or some also become supernovae.

II-Bright giant:


This is a different kind of star that is born massive and shines much brighter. In their case, brightness always remains high. Luminosity classes denote their evolutionary phases rather than luminosities in general.

0 or Ia-Supergiant:


Like II, they are more massive star groups that are born massive, and they usually fuse all the way to iron, die as supernovae, and leave a neutron star or black hole depending on their masses.

Specific portions of the diagram:

We'll look closely at the diagram that contains the 22,000 stars from the Hipparcos and 1000 from the Gliese catalogs (the HRD, which is shown in this article). The main-sequence stars are highly abundant, and its reason we talked earlier.

Hertzsprung Gap

The subgiants are relatively rarer since main-sequence stars like F to K are long-living, while hot stars O, B, and A quickly go through this phase and often overlap, so they have relatively lower numbers in our neighborhood. This gap is called the Hertzsprung gap.

Red Giant Branch

You can see a dragon or fowl-like shape if you are imaginative enough; let's call the large being a dragon. The trunk and abdomen host the main-sequence stars, while there is a wing- or branch-like structure dominated by red giant stars.

Its reason: stars less than 40 solar masses lose their photospheric temperatures at some point in their lives, whether its blue loop, a permanent red giant, or just a long-lasting stage. Another reason is that low- and intermediate-mass stars are far more common than 30-40 solar mass stars.

That's why observers have plotted those red giant stars, and they are arranged in a branch or wing, automatically as the stars get plotted in their places. That's why the zone in the diagram is called the red clump or red giant branch (RGB).

Asymptotic Giant Branch

There is another portion on the right side of this wing around the solar luminosities 1 to 10 in the diagram. It is dominated by less observed and rarer stars in our neighborhood. They are larger than usual RGB stars, losing their plasma at enormous rates and speeds.

It feels as if they are dying or destroying their vicinities; they are indeed dying and form planetary nebulae and leave the white dwarf. They bear the final flames of fusion, which are extinguishing day by day; gravity is actively killing them. We call this region the Asymptotic Giant Branch, or AGB; hence, its members are called AGB stars. The Sun will engulf the Earth in this phase, not in the RGB, when it enters this phase.

Did You Know fact banner about stellar evolution: low‑mass stars shaped by gravity, massive stars by fusion.


Instability strip

You will see stars that leave the main sequence, are less stable, and sometimes pulsate; this anomaly usually happens when the stars develop the conditions to ignite helium and face the consequences due to their lower system properties. Another similar instability occurs when Helium has produced enough Carbon and oxygen, and Helium burns in the shell. However, their pulsation can last some hours to years or thousands of years. During this time, they lose mass more and more, which causes the AGB phase to evolve further.

The instability strip can span from subgiant, RGB, and AGB stars to the massive stars' counterpart phases like Wolf-Rayet (WR) or luminous blue variables (LBV). In general, whether a star is massive or intermediate, it must suffer mass loss by either gravity (shell burning, RGB, AGB, dredge-up, or helium/carbon flash) or by intense fusion (multiple fusion layers, enormous energy output, weak gravity, such as WR and LBV).

While the low-mass stars or M dwarfs, about 0.45 solar masses, last extremely long thanks to their efficient helium mixing abilities and fuse the hydrogen until the last hydrogen atoms. Below we have shown an animated diagram of multiple shell burning of hydrogen, helium, and carbon.

Diagram of late‑stage star with carbon core and fusion shells.
Diagrammatic Animation of three element fusion with convective overshooting and star's shape 



You can see those layers aren't stable and are pushing or pulling each other, and the star has to manage itself accordingly. Also, you see some leaks or offsets; hydrogen sometimes goes into the inter-shell region; likewise, helium is fusing in the inter-shell or carbon zone. We call it Convective overshooting, which redistributes the fuel and its products and doesn't let the evolution be too much expected as theories.

Life cycle of stars:


Here, we'll provide a brief overview and focus on key features. Each of their phases can be documented in a separate article; if we create one, we'll definitely drop a link in their sections here. Let's be clear that the life of a star depends on the interplay of gravity, energy transport, plasma currents, nearby environments, and a little bit of metallicity. HRD only arranges the stars from the observed region into classes, like we categorize the human population into children, adults, the elderly, etc.

Here are some points to notice: Stars less than 0.45 Solar masses never become giants, and stars less than 40 solar masses never become red, yellow, or white; they live and die as blue supergiant stars and leave a black hole.

When gravity crushes the non-fusing or partially fusing core, the envelope expands and cools; if fusion is strong, the core expands, and the envelope shrinks. We call it the mirror principle. Now, you can expect the pulsating stars like Betelgeuse, VV Cephei, and others that are struggling to balance the energy of fusion and gravitational compression.

We'll focus on stars with Solar masses: 1, 5, 20, 30, and 40 because they differ a lot from each other, while other similar-mass stars can have similar phases. Also consider that the massive star is constantly losing its material in the form of a stellar wind, which is the effect of intense fusion, radiation pressure, and internal mechanisms.

Diagram showing stellar life cycles across different birth masses, tracing fusion stages and final outcomes as white dwarfs, neutron stars, or black holes.



Look at these colorful noodles in this image, it represents the life paths of different stars based on their mass and point out some key events like shell burning, AGB, or WR stages, while the noodle tells us which color its envelope might be at that phase. We've also divided the top portion into 3 parts, which denote their final destinies.

1 solar mass star:


These stars face the gravitational compression moderately enough that the star doesn't have to shine immensely, nor at cool temperatures or red colors. They start in the main sequence, which is their longest-lasting phase. For the Sun, it's about 10 billion years. Since the Sun's age is 4.58 billion years, you can calculate how much time it has left to fuse hydrogen.

The secret of its long youth and childhood lies in the hydrogen fusion method called the Proton-Proton chain or PP chain, which takes about a billion years and releases almost 26.7 MeV (million electron volts) of energy per reaction. Our sun fuses around 4 billion kg of hydrogen every second.

Don't be afraid, the sun won't disappear any second, because its total mass is 2 × 10³⁰ kg or 2000 octillion kilograms. Even in a period of 10 billion years, it would have fused a mass equivalent to that of Jupiter.

Such stars usually grow in brightness when their core heats up due to billions of years of fusion, which adds helium in the center. The star now also grows in size. When the sun takes a step in the last stages of 10th billion years, it will explode or become a white dwarf, you could expect. But no, no, no.

Did You Know fact banner: white dwarfs form from stars under 8 solar masses after AGB phase.



The sun would only leave its youth; there are more stages and events to take place. Because you'll miss the sun's adulthood, the 50-60s and 70-80s, just like humans don't die right after their youth, they suffer declining body and metabolism.

In the shell burning of hydrogen, it would be a CNO cycle-powered fusion. The sun's envelope would expand in response to the collapsing core. Note that Helium in the core is degenerate and too low temperature to ignite helium as a fuel. Degenerate matter is a superconductor of heat and electricity thanks to its quantum configuration; the weak interactions between electrons would cause neutrino losses, and it cools down despite the hydrogen shell adding heat and mass.

The sun would find a little stop after 2 billion years of gradual expansion until its photosphere falls to 5000K, and the sun would be classified as a III star or a red giant star of an earlier phase. Until then, it will be denoted by IV due to the gradual expansion.

After crying and screaming, the sun would eventually ignite the Helium in the inert core, which has come into condition at about 100 million kelvin and 100,000 grams/cc, or gravity packs 100 kg of helium in just a centimeter cube. This would take a long time after a series of cooling, burning, exploding, and losing mass because red giants often lose mass like massive stars. It's a complicated story of how that'll happen, but when it starts, the massive eruptions and explosions would take place, and the sun would often keep them hidden and rarely let them reach its outer surface.

When the sun would burn Helium, it will produce carbon and Oxygen. The fusion of helium wouldn't be a one-off deal because it would require constant heating of the core and lifting the degeneracy; often, it would start in periodic episodes of helium flashes until the entire core is hot enough. You can also expect the sun to keep expanding, but not as it expanded in the subgiant phase. This will happen when the sun would be its 13-14th billion years old.

A bluish planet bound to a glowing white dwarf, surrounded by asteroids and a pink‑violet planetary nebula marking the star’s death.
Artist Impression: Planet and debris disk orbiting a white dwarf inside planetary nebula



The intense energy of helium fusion would wreak havoc on the sun, and the sun would become a pulsating red giant. The helium fusion would undermine the solar material, stability, and composition. Hence, in its later phases, when Helium would ignite in a shell along with a hydrogen-burning shell, we call it an asymptotic giant branch or AGB star. 

To start Carbon fusion, a star must be more than 4 solar masses, 500M kelvin in temperature, and have a density of about 200,000 gm/cc. That's impossible for the Sun. So it will keep losing the outer envelope and keep cooling; this time, the Sun would totally engulf the Earth. The lost material in space would form a planetary nebula, and the core would further collapse as Carbon-Oxygen degenerate matter. Eventually, it'll become a white dwarf. The planetary nebula would disperse in the local cosmos after a few thousand years. The brief life cycle of sun like stars:

Diagram showing evolutionary stages of a one‑solar‑mass star: Main Sequence, Subgiant, Red Giant Branch, Asymptotic Giant Branch, Planetary Nebula, and final White Dwarf.


5 Solar mass star:


Almost all stars heavier than 1.5 solar masses fuse their hydrogen with the CNO cycle, which means carbon, nitrogen, and oxygen act as a catalyst and produce helium. Unlike the slow PP chain that gives about 26 MeV per reaction after a billion years, this process is significantly faster because the same MeV per reaction can be extracted in just 10-15 minutes. Also, it works even better with higher temperatures, so you can say it increases the temperature by fusion and intensifies later on if the core wasn't relatively hot earlier.

That sounds great, but here's the disadvantage: CNO-powered stars don't even finish with hydrogen properly, as the low-mass stars do, yet gravity reaches the critical point from where it starts to compress the helium core. Also, the helium core forms much earlier than PP chain-powered stars. Everything happens just like low-mass stars, but in shorter time spans. Also, they don't suffer as much as our Sun would to burn helium; they are totally optimized for helium fusion, and they easily burn it.

Their photospheres also cool down more quickly compared to the Sun in a subgiant, which was about 2 billion years. Because things tend to move from high to low physical quantities like temperature, potential, and so on. Considering the Sun has a photospheric temperature of about 5800 K, it will take too long to cool down to 5000 K, whereas a star with a temperature of 10,000 K loses temperature relatively faster. Because the high-to-low gradients are steep.

The blue loop

Once the intermediate stars reach the Red giant stage, they are ready to burn helium, and it doesn't show eruptions or explosions like low-mass stars. The energy of helium fusion is sufficient to heat the photosphere, and stars appear again yellow, white, and whitish blue, but not like their main-sequence stage. This way, the star gets hotter temperatures again, but for short periods; we call it the first blue loop; it takes a few thousand years in this process.

The second blue loop

As the helium keeps adding Carbon and Oxygen, gravity becomes dominant again and starts to compress the C-O core; the star's envelope again cools down in response, in its very late phases. A similar event happens as we saw in the Sun's late stages, while it was trying to burn helium, but the intermediate stars struggle with carbon, and it gives them sufficient energy to glow again in hotter wavelengths, but carbon fusion is destabilizing just as helium is to low-mass stars.

A barren reddish planet beneath a hazy sky, with a swollen AGB star glowing through thick atmosphere, casting dim light across rocky terrain.
A landscape with AGB star



The star appears in orange, yellow, or even white, but for a really short time, and carbon fusion blows away outer layers, and the stellar envelope again cools and appears red. This is their AGB stage, and as the sun-like stars, they lose the plasma of their outer layers and create a planetary nebula. Since Carbon fusion produces the product mix of Oxygen and Neon, the core becomes an O-Ne white dwarf.

The brief path of this kind of star:

Diagram showing evolutionary stages of a five‑solar‑mass star: Main Sequence, Supergiant, Red Giant Branch, Asymptotic Giant Branch, Planetary Nebula, and final White Dwarf.

10 Solar mass star:


When we talk of massive stars, we must bear this fact in our minds: massive stars lose their plasma at higher rates all their lives, and this intensifies as they evolve further, so a 10 solar mass star could turn into a 6-8 solar mass star, making it difficult to track the evolution path and other details.

These kinds of stars' lives depend on both their initial mass and final mass, unlike low-mass stars, which depend on their initial mass. So if an 11 solar mass star loses mass and has a mass of 7 solar masses during its death, it would end as a white dwarf instead of a neutron star.

Did You Know fact banner: convective overshooting adds complexity, altering stellar evolution paths.



Everything after reaching the main sequence happens the same as a 1- and 5-solar-mass star, but in even shorter timescales and mass losses. Such stars already have strong CNO cycle-powered fusion, and it burns fuel much faster, releasing enormous energies. 

Some stars already start burning hydrogen in a shell when they haven't left the main sequence properly and enter subgiant expansion (IV) when helium fusion is about to ignite. The subgiant term or IV class is misleading, and often such stars are classified as both; it's a very brief period.

With later stages when the carbon is about to ignite, they go through some energy crises, lose temperature, and become red giants by becoming blue, white, yellow, orange, and finally red. In its final stages, if it fails to retain a mass of over 8 solar masses, it would become a mini-nova, leaving a white dwarf with an oxygen-neon composition.

If it maintains more than 10 solar masses, its outer layer would explode as a supernova, and the core compresses into a neutron star. A supernova from 10 solar masses is highly unlikely because of the mass loss process, but metal-poor or population II stars can become supernovae because lower metallicities cause less mass loss than population I or metal-rich stars.

In brief:

Diagram showing evolutionary stages of a ten‑solar‑mass star: Main Sequence and Supergiant, Red Supergiant, then outcomes as Supernova Remnant or Planetary Nebula, with core ending as Neutron Star or White Dwarf depending on mass loss.

20 Solar mass star:


Now we have stepped into the territories of bright giants that were born massive, like Betelgeuse, VY Canis Majoris, and others. They suffer severe mass loss, but their huge solar masses suppress the suffering. Instead, massive stars suffer more from intense fusion than strong gravity. Everything mentioned earlier happens at a much shorter timespan; they leave the main sequence relatively quickly, in about a few million years.

Did You Know fact banner: massive stars gain or lose mass through overshooting, metallicity, composition, magnetism, rotation, and other factors.



They ignite helium, then helium-shell fusion and carbon easily, and almost three fuel types, and fusion makes the photosphere and outer layers expand dramatically. Gravity is only there to bind the system sufficiently, and it's silent in action, unlike what we saw in the case of stars that form white dwarfs.

The star becomes too large, and we call it a Red Supergiant or RSG. Since fusion's energy is immense but not ferocious enough to distribute the heat energy to return the star to a blue color. Therefore, no matter how they burn 6 fuels (Hydrogen, Helium, Carbon, Neon, Oxygen, and Silicon), their relatively unstable outer layer mixes the energy poorly, so they die as RSGs, not blue stars, despite starting their lives as blue stars.

Also consider the gravity, which is weaker somehow and struggles to keep the outer layers together; that's why such stars contract and expand many times; we call them variable stars.

Supernova

When silicon fusion creates iron, then suddenly the game flips entirely. Iron absorbs energy rather than radiating outward. It's impossible to fuse. 6 fusion shells are still active and blowing the outer envelope while gravity suddenly takes control over that iron ball.

Did You Know fact banner: black holes form from massive stars over 30 solar masses after the Wolf‑Rayet phase.”



Silicon keeps adding more iron, hence more compression and gravity become stronger, but only in the region where the iron has enough mass. Such an iron ball would be 2 solar masses, which is beyond the Chandrasekhar limit (1.44 solar masses). This traitorous iron core causes the death of such stars. Core collapse, neutrino losses, intense fusion, and other forces wreak havoc on stars; it takes about 7-8 hours before the explosion of a supernova.

So outer layers explode in immense energy, forming a beautiful supernova remnant nebula (SNR). The core collapses into a neutron star. This is only supported by quantum laws, not by thermodynamic rules. Remember, gravity hasn't done yet; it keeps pressing the dead core; hence the degenerate neutrons resist the compression, and the result is a neutron star.

In brief:

Diagram showing evolutionary stages of a twenty‑solar‑mass star: Main Sequence and Supergiant, Red Supergiant, then envelope forming a Supernova Remnant with core collapsing into a Neutron Star.


30 solar mass star:


Their evolutionary stages are similar to those of 20 solar mass stars, but they differ in that they go through a blue loop. Because their mass is still higher than 20 solar masses but lower than 40 solar masses, they borrow both kinds of stars' properties. After Carbon ignition, their fusion is much stronger.

Don't forget that massive stars are powered by the CNO cycle of hydrogen fusion, which is highly efficient at high mass and temperatures. So the power of three fusions and already higher temperatures around outer regions help the star to come back to a blue color, and they become a blue supergiant (BSG).

After returning to blue, they ignite further fusions smoothly and suffer intense mass losses, eventually removing the outer layers and most of the radiative mid-layers. Thus, the star expels the energy more directly than ever and appears blindingly blue white; we call it the Wolf-Rayet (WR) phase

About less than 25 solar masses don't enter this stage and higher than this mass mostly produce a black hole after supernova, But here's the key thing, they suffer intense mass losses, then the black hole, supernova or WR phase are the talks of if the stars retains that minimum required mass, otherwise, it'll behave like lower masses like 20 or 10 solar mass stars.

Life path:

Diagram showing evolutionary stages of a thirty‑solar‑mass star: Main Sequence and Supergiant, Red Supergiant, Blue Supergiant, Wolf–Rayet phase, then envelope forming a Supernova Remnant with core ending as either Neutron Star or Black Hole.

40 solar mass star:


All the fusions initiate smoothly, without any halts or troubles. Gravity is also strong enough to compress the outer layers to match the ferocious fusion and its energies. Such stars never become red, and their lifespan is much shorter, so the outer layers don't get the time to respond to the internal situations. 

A luminous blue‑white Wolf–Rayet star surrounded by vivid nebular clouds in blue, purple, and pink, radiating intense light as it nears supernova.
Artist Impression: a Wolf-Rayet star ready explode into Supernova and leave a black hole



Some stars of higher masses go into a brief stage called Luminous Blue Variable or LBV, where their brightness varies immensely, not because of any weak specs, but because they actively erode their outer layers to become a Wolf-Rayet star. They always produce black holes after the Wolf-Rayet phase. Also, remember they always represent the highest portions of the HRD, meaning they always shine like supergiants, regardless of their type of fusion.

Their brief path:

Diagram showing evolutionary stages of a forty‑solar‑mass star: Main Sequence and Supergiant, Blue Supergiant, sometimes Luminous Blue Variable, Wolf–Rayet phase, then envelope forming a Supernova Remnant with core collapsing into a Black Hole.


In the end


Here, now you know the basics of stellar evolutionary stages within mass ranges. We know that we've skipped many things, but we can go into details in other dedicated articles. This post was created mainly to let you know, when discussing WR, AGB, RGB, RSG, or Supernova, which stage of which star we are talking about. This post will also act as a table of contents to link together all the stages of stars after the main-sequence phase.