Cauchy-horizon singularity inside perturbed Kerr black holes

doi:10.1103/PhysRevD.93.041501

Paper

Cauchy-horizon singularity inside perturbed Kerr black holes

Published Jan 19, 2016 · L. Burko, G. Khanna, Anil Zenginovglu

Physical Review D

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Abstract

A singularity evolves inside every black hole (BH), as guaranteed under very plausible conditions by the Hawking-Penrose singularity theorems [1]. Relatively little is known about the nature of BH singularities, including their physical and geometrical properties, the possibility of extension of the spacetime manifold beyond them, or the role played by quantum gravity. Based on properties of spherical toy models and of cosmological singularities in addition to perturbative and nonperturbative analysis of rotating BHs, it is believed that three types of singularitiescould exist, and possiblycoexist, inside realistic BHs: first, a Belinskii-Khalatnikov-Lifshitztype singularity [2], a spacelike, anisotropic, homogeneous and chaotic singularity, in which Kasner epochs alternate independently along different timelike approaches to the singularity; second, the Poisson-Israel mass-inflation singularity[3],anullanddeformationallyweaksingularitythat evolvesalongthegeneratorsoftheBH’sCauchyhorizon,or ingoing inner horizon, because of the capture of future perturbations; and third, the Marolf-Ori singularity [4] ,a null shock-wave singularity that evolves along the generators of the outgoinginner horizonbecauseof the capture of past perturbations. Here we are mostly concerned with the mass-inflation singularity inside rotating BHs, and specifically with the properties of the singularity in its early parts. The massinflation singularity was simulated in fully nonlinear simulations for a spherical charged scalar-field toy model in Ref. [5], where the properties of its general features were confirmed. However, several key details of the features of the mass-inflation singularity that were predicted by perturbative analysis [6] appeared to be inconsistent with the nonlinear results of [5]. This discrepancy was resolved by the careful simulations of Ref. [7], which showed that in the early parts of the mass-inflation singularity perturbation

Study Snapshot

Perturbative analysis and nonlinear simulations agree on the general features of the mass-inflation singularity inside rotating black holes.

PopulationOlder adults (50-71 years)

Sample size24

MethodsObservational

OutcomesBody Mass Index projections

ResultsSocial networks mitigate obesity in older groups.

Cauchy-horizon singularity inside perturbed Kerr black holes

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