Quote (AEtheric @ Oct 13 2011 11:40am)
According to Special Relativity, infinite densities are forbidden because that would require an infinite energy, or equivalently that a material object can travel at the speed of light in vacuo. This is easily seen as follows. Consider a cuboid rest-mass m0 of sides length x. Let it move with constant rectilinear velocity v in the x-direction. Its mass is given by
m = m-sub-o
-----------------
√(1 - v2/c2)
and its volume is given by
V = (x^3)(1 - v2/c2)^1/2.
So the density D of the moving mass is
D = m-sub-o
--------------------
x^3(1 - v2/c2)
which is infinite when v = c: but this is forbidden by Special Relativity since no material object can travel at the speed of light in vacuo. So infinite densities are forbidden by Special Relativity. Now the so-called "point-mass" has a finite mass and a zero volume, so that it is infinitely dense, which is what the singularity of the alleged black hole is supposed to be. Thus, if General Relativity permits point-masses it does so in violation of Special Relativity. Yet General Relativity is supposed to be a generalisation of Special Relativity to non-uniform motion. It cannot therefore violate Special Relativity. So if General Relativity is to be consistent with Special Relativity, it cannot permit point-masses, howsoever they are alleged to be formed, despite what Prof. Mr. Krasinski et al. might otherwise and vagariously claim.
Until we can get off this planet and be out in space for long distances there is no way of knowing.