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arXiv · 2303.10348

Einstein's hole argument and Schwarzschild singularities

Merab Gogberashvili
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Abstract

According to the Einstein hole argument, vacuum metric solutions are equivalent only if they correspond to the same energy--momentum tensor in the source region. In this paper it is shown that singular coordinates that are used to show Schwarzschild geodesics completeness, introduce the fictive delta-like sources at the horizon. Then, metric tensors obtained by such singular transformations, cannot be considered as solutions of the same Einstein equations with the central source.

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Merab Gogberashvili. 2023-03-18. Einstein's hole argument and Schwarzschild singularities. https://doi.org/10.1016/j.aop.2023.169274

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