• D.S. Wamalwa University of Nairobi, Department of Physics, Astronomy and Astrophysics Group, P.O. Box 30197-00100, Nairobi.
  • Carringtone Kinyanjui Department of Physics University of Nairobi Chiromo, Nairobi, 30197-0100
Keywords: Schwarzschild metric, Black holes, Finsler spaces, Einstein field equations


A reformulation of the Schwarzschild solution of the linearized 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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