Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-12-07
Phys.Scripta 64 (2001) 417-422
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, no figure, some errors are corrected, two sections on tidal forces and Riemann scalar invariant are added. To appear
Scientific paper
10.1238/Physica.Regular.064a0041
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 $g_{00}=-\{1-\frac{2GM}{c^2r}-\frac{8G^2 M^2}{c^4 r^2}(\theta (r)-1)\}\exp [2(\theta (r)-1)]$ $g_{rr}=\{1-\frac{2GM}{c^2r}-\frac{8G^2 M^2}{c^4 r^2}(\theta (r)-1)\}^{-1}$ 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.
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