A gravitational collapse singularity theorem consistent with black hole evaporation

Abstract

The global hyperbolicity assumption present in gravitational collapse singularity theorems is in tension with the quantum mechanical phenomenon of black hole evaporation. In this work I show that the causality conditions in Penrose's theorem can be almost completely removed. As a result, it is possible to infer the formation of spacetime singularities even in the absence of predictability and hence compatibly with quantum field theory and black hole evaporation.

arXiv comment16 pages. v2: fixed some typos, added one figure, removed achronality condition on trapped surface, discussed optimality. v3: improved statement of theorem 2.6, matches published version

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Cited by in corpus (7)

• A critical appraisal of the singularity theorems
• A Note on the Gannon-Lee Theorem
• On Black Hole Thermodynamics, Singularity, and Gravitational Entropy
• A note on causality conditions on covering spacetimes
• Volume Singularities in General Relativity
• Radial Gravitational Collapse Causes Timelike Incompleteness
• Regularity and temperature of stationary black hole event horizons