eFTC-230601

The Schwarzschild and Hilbert Solutions in Einstein Real (Strong) Gravity
14 June 2023

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Abstract

The algebraic equivalence between the usual and Real Gravity (RG) formulations of General Relativity (GR) implies that the Schwarzschild and Hilbert vacuum metrics are solutions as well of Einstein Real Gravity. Unlike the traditional (weak field) formulation however, the gravitational potential is a strong field in Real Gravity and the Hilbert solution is shown not to be an acceptable physical solution since the potential becomes infinite on the finite size event horizon. The Schwarzschild solution on the other hand remains an exact physical solution in the empty space surrounding a point mass source at the origin, which is a unique event horizon with zero surface area. These two inequivalent solutions become identical when the mass parameter is zero, i.e. flat Minkowski spacetime with no gravity.

Copyright © 2023 Yvan Leblanc. All rights reserved

PACS: 4.60.+n, 11.17.+y, 97.60.Lf

Cite as: Leblanc, Y., "The Schwarzschild and Hilbert Solutions in Einstein Real (Strong) Gravity", Report no. eFTC-230601 (2023). http://www.efieldtheory.com/abs/?eFTC-230601; doi:10.13140/RG.2.2.13678.38721.