A gravitational collapse singularity theorem consistent with black hole evaporation
arXiv:1909.07348 · doi:10.1007/s11005-020-01295-9
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.
16 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