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arXiv · 1703.05919

Schwarzschild solution of the modified Einstein field equations

Carringtone Kinyanjui·Dismas S. Wamalwa
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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.

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Carringtone Kinyanjui, Dismas S. Wamalwa. 2017-03-17. Schwarzschild solution of the modified Einstein field equations. https://arxiv.org/abs/1703.05919

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