6533b829fe1ef96bd1289aea

RESEARCH PRODUCT

Quantum-corrected rotating black holes and naked singularities in ( 2+1 ) dimensions

Marc CasalsCristián MartínezAlessandro FabbriJorge Zanelli

subject

Physics010308 nuclear & particles physicsEvent horizonAstrophysics::High Energy Astrophysical PhenomenaCauchy horizonNaked singularitySuperradiance01 natural sciencesErgosphereBlack holeGeneral Relativity and Quantum CosmologyRotating black holeQuantum mechanics0103 physical sciences010306 general physicsScalar field

description

We analytically investigate the perturbative effects of a quantum conformally coupled scalar field on rotating (2+1)-dimensional black holes and naked singularities. In both cases we obtain the quantum-backreacted metric analytically. In the black hole case, we explore the quantum corrections on different regions of relevance for a rotating black hole geometry. We find that the quantum effects lead to a growth of both the event horizon and the ergosphere, as well as to a reduction of the angular velocity compared to their corresponding unperturbed values. Quantum corrections also give rise to the formation of a curvature singularity at the Cauchy horizon and show no evidence of the appearance of a superradiant instability. In the naked singularity case, quantum effects lead to the formation of a horizon that hides the conical defect, thus turning it into a black hole. The fact that these effects occur not only for static but also for spinning geometries makes a strong case for the role of quantum mechanics as a cosmic censor in Nature.

https://doi.org/10.1103/physrevd.99.104023