Schwarzschild solution of the modified Einstein field equations
General Relativity and Quantum Cosmology
2017-03-20 v1
Abstract
A reformulation of the Schwarzschild solution of the linearised Einstein field equations in post-Riemannian Finsler spacetime is derived. The solution is constructed in three stages: the exterior solution, the event-horizon solution and the interior solution. It is shown that the exterior solution is asymptotically similar to Newtonian gravity at large distances implying that Newtonian gravity is a low energy approximation of the solution. Application of Eddington-Finklestein coordinates is shown to reproduce the results obtained from standard general relativity at the event horizon. Further application of Kruskal-Szekeres coordinates reveals that the interior solution contains maximally extensible geodesics.
Keywords
Cite
@article{arxiv.1703.05919,
title = {Schwarzschild solution of the modified Einstein field equations},
author = {Carringtone Kinyanjui and Dismas S. Wamalwa},
journal= {arXiv preprint arXiv:1703.05919},
year = {2017}
}
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9 pages