Interior of a Schwarzschild Black Hole Revisited |
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Authors: | Rosa Doran Francisco S N Lobo Paulo Crawford |
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Institution: | (1) Department of Physics, Centro de Astronomia e Astrofísica da Universidade de Lisboa, Campo Grande, Ed. C8, 1749-016 Lisboa, Portugal |
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Abstract: | The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding
event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one still encounters
the existence of misconceptions and a certain ambiguity inherent in the Schwarzschild solution in the literature. By taking
into account the point of view of an observer in the interior of the event horizon, one verifies that new conceptual difficulties
arise. In this work, besides providing a very brief pedagogical review, we further analyze the interior Schwarzschild black
hole solution. Firstly, by deducing the interior metric by considering time-dependent metric coefficients, the interior region
is analyzed without the prejudices inherited from the exterior geometry. We also pay close attention to several respective
cosmological interpretations, and briefly address some of the difficulties associated to spacetime singularities. Secondly,
we deduce the conserved quantities of null and timelike geodesics, and discuss several particular cases in some detail. Thirdly,
we examine the Eddington–Finkelstein and Kruskal coordinates directly from the interior solution. In concluding, it is important
to emphasize that the interior structure of realistic black holes has not been satisfactorily determined, and is still open
to considerable debate. |
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Keywords: | Black hole interior Conceptual difficulties |
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