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arXiv · 2110.07388

Low regularity extensions beyond Cauchy horizons

Martin Lesourd·Ettore Minguzzi
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Abstract

We prove that if in a spacetime endowed with a merely continuous metric, a complete partial Cauchy hypersurface has nonempty Cauchy horizon, then the horizon is caused by the presence of almost closed causal curves behind it or by the influence of points at infinity. This statement is related to strong cosmic censorship and a conjecture of Wald. In this light, Wald's conjecture can be reformulated as a PDE problem about the location of Cauchyh horizons inside black hole interiors.

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Martin Lesourd, Ettore Minguzzi. 2021-10-14. Low regularity extensions beyond Cauchy horizons. https://doi.org/10.1088/1361-6382%2Fac5009

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