An Extension of Schwarzschild Space to r=0

Abstract

A more rigorous treatment of the Schwarzschild metric by making use of the energy-momentum tensor of a single point particle as source term shows that $g_{00}=-\{1-\frac{2GM}{c^{2}r}-\frac{8G^2{M}^2}{c^4{r}^2}(\theta (r)-1)\}\exp [2(\theta (r)-1)]$ $g_{rr}=\{1-\frac{2GM}{c^{2}r}-\frac{8G^2{M}^2}{c^4{r}^2}(\theta (r)-1){\}}^{-1}$ The existence of a discontinuity at r=0 leads to an infinite repulsive force that will change the ultimate fate of a free fall test particle to a bouncing state.

16 pages, no figure, some errors are corrected, two sections on tidal forces and Riemann scalar invariant are added. To appear in Physica Scripta

References in corpus (3)

• On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?
• Distributional Energy-Momentum Tensor of the Kerr-Newman Space-Time Family
• Distributional Energy-Momentum Densities of Schwarzschild Space-Time