Cosmological singularity theorems and black holes

doi:10.1103/PhysRevD.89.064035

Paper

Cosmological singularity theorems and black holes

Published Dec 13, 2013 · Aron C. Wall, A. Vilenkin

Physical Review D

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Abstract

An extension of Penrose's singularity theorem is proved for spacetimes where black holes are allowed to form from non-singular initial data. With standard assumptions about the spacetime, and assuming the existence of a trapped surface which lies outside of black hole horizons and is not completely surrounded by horizons, we show that the spacetime region outside (or on) the horizons must contain singularities. If the trapped surface is surrounded by horizons, we show that the horizons divide spacetime into causally disconnected pieces. Unlike the original Penrose's theorem, our theorems provide some information about the location of singularities. We illustrate how they can be used to rule out some cosmological scenarios.

Study Snapshot

This paper extends Penrose's singularity theorem to spacetimes with black holes, proving that the spacetime region outside or on horizons must contain singularities, and demonstrates its use in determining the location of singularities in cosmological scenarios.

PopulationOlder adults (50-71 years)

Sample size24

MethodsObservational

OutcomesBody Mass Index projections

ResultsSocial networks mitigate obesity in older groups.

Cosmological singularity theorems and black holes

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