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Schwarzschild solution of the modified Einstein field equations

Research paper by Carringtone Kinyanjui, Dismas S. Wamalwa

Indexed on: 17 Mar '17Published on: 17 Mar '17Published in: arXiv - General Relativity and Quantum Cosmology



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.