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An Extension of Schwarzschild Space to r=0

Amir H. Abbassi
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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 $g_{00}=-\{1-\frac{2GM}{c^2r}-\frac{8G^2 M^2}{c^4 r^2}(θ(r)-1)\}\exp [2(θ(r)-1)]$ $g_{rr}=\{1-\frac{2GM}{c^2r}-\frac{8G^2 M^2}{c^4 r^2}(θ(r)-1)\}^{-1}$ 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.

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Amir H. Abbassi. 2001-07-10. An Extension of Schwarzschild Space to r=0. https://doi.org/10.1238/physica.regular.064a00417

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