6533b870fe1ef96bd12d0584

RESEARCH PRODUCT

Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities

Cristián MartínezMarc CasalsAlessandro FabbriJorge Zanelli

subject

High Energy Physics - Theoryblack hole: rotationeffect: quantumvelocitysemiclassicalEvent horizonperturbationspace-time: black holeGeneral Physics and AstronomyFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)angular momentum01 natural sciencesErgospherePenrose processGeneral Relativity and Quantum Cosmologyhorizon[ PHYS.GRQC ] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc][ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th]black hole: BTZGeneral Relativity and Quantum CosmologyQuantum mechanics0103 physical sciencescurvature: singularity010306 general physicsRing singularityPhysics010308 nuclear & particles physics[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]formationNaked singularitycoupling: conformalstabilityfield theory: scalarBlack holeClassical mechanicsHigh Energy Physics - Theory (hep-th)Apparent horizonback reaction: quantum[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]massGravitational singularitysuperradianceblack hole: geometry

description

We analytically investigate backreaction by a quantum scalar field on two rotating Ba\~nados-Teitelboim-Zanelli (BTZ) geometries: that of a black hole and that of a naked singularity. In the former case, we explore the quantum effects on various regions of relevance for a rotating black hole space-time. We find that the quantum effects lead to a growth of both the event horizon and the radius of the ergosphere, and to a reduction of the angular velocity, compared to the unperturbed values. Furthermore, they 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 case of a naked singularity, we find that quantum effects lead to the formation of a horizon that shields it, thus supporting evidence for the r\^ole of quantum mechanics as a cosmic censor in nature.

https://dx.doi.org/10.48550/arxiv.1608.05366