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arXiv · 2301.00572

Spacetime singularities and curvature blow-ups

István Rácz
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Abstract

The singularity theorems of Penrose, Hawking, and Geroch predict the existence of incomplete inextendible causal geodesics in a wide range of physically adequate spacetimes modeling the gravitational collapse of stars and the expanding universe. Here, using results on spacetime extensions, it is shown that if a suitable low regular form of the strong cosmic censor hypothesis holds, then parallelly propagated blow-up of either the tidal force or frame-drag part of the curvature must occur in ``generic'' timelike geodesically incomplete maximal Cauchy developments.

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István Rácz. 2023-01-02. Spacetime singularities and curvature blow-ups. https://doi.org/10.1007/s10714-022-03053-9

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