Fields tell matter how to move
Abstract
Starting from the OppenheimerSnyder solution for gravitational collapse, we show by putting it into the harmonic coordinates, for which the distant Riemann metric is galilean, that the final state of collapse for a collapsed star of any mass, including the one thought to occupy the centre of our galaxy, has a finite radius roughly equal to its Schwarzschild radius. By applying an expression for the gravitational energy tensor, we are able to explain the concentration of stellar material in a thin shell close to the surface, which gives an explanation for why such a star does not undergo further collapse to a black hole. The interior of the star is characterized by a low density of the original stellar material, but, far from being empty, this region is occupied by a very high density of gravitational energy; this density is negative and the consequent repulsion is what produces the surface concentration of stellar material.
 Publication:

arXiv eprints
 Pub Date:
 March 2011
 arXiv:
 arXiv:1103.6168
 Bibcode:
 2011arXiv1103.6168M
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 1 figure