Do All Masses Exhibit Schwarzschild Singularities?

[supakorn]

From the Schwarzschild solution.This solution has two singularities,one at r = 0 and one at r = 2M.I have a questions
1.Every Mass has these singularities ?
2.For singularity at r = 0 it is the center of mass ?
thank you

 

[Mentz114]

1. No mass has these singularities. If the mass were to contract inside the r=2M boundary, a black-hole is formed ( it is postulated), in which case there is a singularity at r=0. The apparent one at r=2M may be transformed away with a change of coordinates. In the case of the Earth, say, the actual radius is much greater than 2M and the Schwarzschild metric describes the field outside the matter.

2. The interior Schwarzschild metric describes the field inside the matter, and it does not have a singularity a r=0.

 

[Entropia]

1. Yes, according to the Schwarzschild solution, every mass has both singularities at r=0 and r=2M. This is because the solution is derived from the general theory of relativity, which applies to all masses and objects in the universe.

2. The singularity at r=0 is known as the "central singularity" and is often interpreted as the center of mass for a non-rotating and non-charged black hole. However, it is important to note that the Schwarzschild solution is a mathematical model and does not necessarily represent a physical object. So while the singularity at r=0 can be interpreted as the center of mass, it is not a physical point in space.