Paddoboy,
You copy pasted a link with red highlight by you that once Buchdahl limit comes, the star collapses to form a BH.
Please define the word 'collapse' in this context.....you will see that it is fishy.
Nothing fishy at all, except [1] your once admittance to believing in a god and then a denial of that myth, [2] Your total and complete misunderstanding of 21st century cosmology, BH's and in this case the fact that the Buchdahl limit does not invalidate BH's. Although in your favour, you are in free thoughts.
https://www.reddit.com/r/askscience...ere_a_limit_on_how_bigdense_an_object_can_be/
There exists a limit, called the Buchdahl limit, which describes the maximum amount of mass that can exist in a sphere before the sphere must undergo gravitational collapse to a black hole.
If a spherically symmetric star has mass
M and radius
R, then the limit is
R > R
B = 9GM/4c2
If a star in equilibrium with mass M and radius R
B is given a spherically symmetric push inward, the star has no choice but to collapse inwards and eventually become a black hole. The star never reaches a steady state again.
You will often read or hear that if an object is contained within its Schwarzschild radius R
S = 2GM/c2, then it will become a black hole. Although that is a true statement, it is misleading. The inevitable collapse occurs once the object is within its Buchdahl radius, which is slightly larger than the Schwarzschild radius.
That answers how big an object can be. Your question about a maximum density is now easily answered. The average density of a spherical star is
ρ = kM/R3
where k = 3/(4π). The density itself must satisfy the inequality
ρ < kM/R
B3 = K/M2
where K is some constant. Insofar that the mass
M can be arbitrarily small, the average density can be arbitrarily large. So there is no limit.
Or how much gravity it produces?
This question can be interpreted in a number of ways. If by "gravity" you mean the curvature (i.e., the Ricci scalar), then that can be arbitrarily large. At the center of a spherically symmetric star of constant density, the curvature behaves like 1/(M-4R/9). The Buchdahl limit is M>4R/9, so this curvature is always positive, but it can be arbitrarily large for stars close to the Buchdahl limit. Of course, for a Schwarzschild black hole, the curvature is infinite at the singularity.
You need a patient hearing.
You obviously need urgent treatment for delusions of grandeur.
1. He was not aware of use of SMBH for Super Massive Black Hole, even though the same are in news recently.
An acronym is an acronym.
You in your crusade here were also not aware of terms such as "spaghettification" although an every day common usage with BH conversations....You were also unaware of GR demanding compulsory collapse once Schwarzchild radius is breached.....and unaware of the application of Planck realm, and unaware that tidal gravitational effects will overcome all forces including the strong nuclear force as one approaches the center of a BH. Need I say anymore re your ignorance?
