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

Abstract

We analytically investigate the pertubative 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 rôle of quantum mechanics as a cosmic censor in Nature.

arXiv comment46 pages, 12 figures

References in corpus (39)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Black Strings and p-Branes are Unstable
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Quasinormal modes and Strong Cosmic Censorship
• Exact Description of Black Holes on Branes
• Charged and rotating AdS black holes and their CFT duals
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Quantum Black Holes as Holograms in AdS Braneworlds
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
• Conformally dressed black hole in 2+1 dimensions
• Scalar field quantization on the 2+1 dimensional black hole background
• Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator
• The renormalized stress tensor in Kerr space-time: general results
• Violating weak cosmic censorship in AdS${}_4$
• Geodesic Structure of the 2 + 1 Black Hole
• Quantum effects near a point mass in 2+1 dimensional gravity
• On classical super-radiance in Kerr-Newman-anti-de Sitter black holes
• The Black Ring is Unstable
• Non-linear instability of Kerr-type Cauchy horizons
• Radiation collapse and gravitational waves in three dimensions
• Analysis of quantum effects inside spherical charged black holes
• On the negative spectrum of the 2+1 black hole
• Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities
• Quantum fluctuation of stress tensor and black holes in three dimensions
• Gravitational instabilities in Kerr space-times
• Interior Structure of a Charged Spinning Black Hole in $(2+1)$-Dimensions
• Superradiance in the BTZ black hole with Robin boundary conditions
• On the occurrence of mass inflation for the Einstein-Maxwell-scalar field system with a cosmological constant and an exponential Price law
• Quantum dress for a naked singularity
• Back-reaction of a conformal field on a three-dimensional black hole
• Vacuum polarization around a three-dimensional black hole
• No superradiance for the scalar field in the BTZ black hole with reflexive boundary conditions
• A rotating hairy AdS3 black hole with the metric having only one Killing vector field
• Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
• Inverse Square Law of Gravitation in (2+1)-Dimensional Space-Time as a Consequence of Casimir Energy
• An Eternal Time Machine in 2+1 Dimensional anti-de Sitter Space
• Quantum gravitational corrections to the stress-energy tensor around the rotating BTZ black hole

Cited by in corpus (18)

• Quantum BTZ black hole
• The BTZ black hole violates strong cosmic censorship
• Strong cosmic censorship in the BTZ black hole
• Quantum Kerr-de Sitter black holes in three dimensions
• The Weak Gravity Conjecture Requires the Existence of Exotic AdS Black Holes
• Charged Particle Production Rate from Cosmic Censorship in Dilaton Black Hole Spacetimes
• Geodesic Structure of Naked Singularities in AdS${}_3$ Spacetime
• On the initial value problem for semiclassical gravity without and with quantum state collapses
• Quantum backreaction for overspinning BTZ geometries
• Overspinning naked singularities in AdS${}_3$ spacetime
• Vacuum polarization on topological black holes with Robin boundary conditions
• Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes
• Renormalization of $⟨{\varphi }^2⟩$ at the inner horizon of rotating, accreting black holes
• Wave equations in conformally separable, accreting, rotating black holes
• C-metric in a (nut)shell
• Quantum Analysis of BTZ Black Hole Formation Due to the Collapse of a Dust Shell
• Timelike entanglement and central charge for quantum BTZ black holes
• Quantum kicks near a Cauchy horizon