mfb said:With 200 000 times its mass, the sun would be a black hole where the event horizon would be roughly at the current surface of sun. For realistic objects, this is certainly beyond a collapse.
If you try to produce such an object by adding more and more mass from the outside, however, you produce a star with extremely strong stellar winds that will prevent more mass from getting added.
victorvmotti said:The maximum mass-energy allowable inside a sphere to ensure a static Star is obtained from Buchdahl’s Theorem:
M(max)=4/9*R/G*c^2
Calculations show that Sun can absorb almost 200,000 more Suns and remain it its current radius and stay away from collapsing.
Is this correct?
victorvmotti said:Let me quote from Sean Carroll in his book Spacetime and Geometry.
After introducing the maximum mass-energy allowable equation on page 234 he writes:
"Thus, if we try to squeeze a greater mass than this inside a radius R, general relativity admits no static solutions; a star that shrinks to such a size must inevitably keep shrinking, eventually forming a black hole. We derived this result from the rather strong assumption that the density is constant, but it continues to hold when that assumption considerably weakened."
victorvmotti said:Calculations show that Sun can absorb almost 200,000 more Suns and remain it its current radius and stay away from collapsing.
victorvmotti said:How much mass-energy could fit into the current radius of Sun,
This isn't the case for the sun, so I wouldn't expect the theoretical maximum mass given by the theorem to be reached.
pervect said:Your original post:
but I'm currently not thinking that the issue is important enough to argue about.
The Sun is a massive celestial body composed of mostly hydrogen and helium gases. Its immense gravitational force causes it to collapse on itself, creating extremely high temperatures and pressures at its core. This allows the Sun to fuse hydrogen atoms together, releasing huge amounts of energy in the form of heat and light. As a result, the Sun has the capability to absorb and convert a significant amount of matter into energy, making it capable of absorbing almost 200,000 more Suns.
The Sun's immense size and mass are the main contributing factors to its ability to absorb such a large amount of matter. Its strong gravitational pull allows it to draw in and capture a large number of particles, which are then converted into energy through nuclear fusion. Additionally, the Sun's internal temperature and pressure play a crucial role in sustaining the fusion reactions that power its energy output.
Yes, the Sun is constantly absorbing matter through its gravitational pull and converting it into energy through nuclear fusion. This process has been ongoing for billions of years and is expected to continue for billions more, until the Sun runs out of hydrogen fuel and enters its later stages of life.
While the Sun has the capability to absorb a significant amount of matter, it is not unlimited. Eventually, the Sun will consume all of its available hydrogen fuel and begin to expand and cool, becoming a red giant. At this point, its ability to absorb matter and produce energy will diminish, leading to its eventual death as a white dwarf.
The Sun's immense gravitational pull not only allows it to absorb matter, but also holds the planets and other objects in the solar system in orbit around it. The energy produced by the Sun also provides heat and light to sustain life on Earth. However, the Sun's absorption of matter does not have a significant impact on the other objects in the solar system, as it is a relatively small amount compared to the overall size of the Sun.