Semi-classical geometry of charged black holes

Abstract

At the classical level, two-dimensional dilaton gravity coupled to an abelian gauge field has charged black hole solutions, which have much in common with four-dimensional Reissner-Nordstrom black holes, including multiple asymptotic regions, timelike curvature singularities, and Cauchy horizons. The black hole spacetime is, however, significantly modified by quantum effects, which can be systematically studied in this two-dimensional context. In particular, the back-reaction on the geometry due to pair-creation of charged fermions destabilizes the inner horizon and replaces it with a spacelike curvature singularity. The semi-classical geometry has the same global topology as an electrically neutral black hole.

arXiv commentREVTeX, 4 pages, 2 figures; references added

References in corpus (16)

• Evanescent Black Holes
• The Endpoint of Hawking Evaporation
• Are Horned Particles the Climax of Hawking Evaporation?
• Black hole singularities: a numerical approach
• Charged Black Holes in Two-Dimensional String Theory
• Mass-Inflation in Dynamical Gravitational Collapse of a Charged Scalar-Field
• Dynamics of Extremal Black Holes
• Hawking Radiation and Back-Reaction
• On One-loop Quantum Corrections to the Thermodynamics of Charged Black Holes
• Quantum Black Holes
• Effects of Pair Creation on Charged Gravitational Collapse
• S-Wave Scattering of Charged Fermions by a Magnetic Black Hole
• One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum Gravity and Charged Black Holes
• Information Loss and Anomalous Scattering
• Mass inflation in (1+1)-dimensional Dilaton Gravity
• Vacuum Polarisation and the Black Hole Singularity

Cited by in corpus (19)

• Fast Scramblers
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• The causal structure of dynamical charged black holes
• Absorption and scattering of a noncommutative black hole
• Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture
• Internal structure of charged black holes
• Quantum Gravity Effects in Black Holes at the LHC
• Rigidly rotating ZAMO surfaces in the Kerr spacetime
• Interior of a Charged Distorted Black Hole
• Black Hole Corrections due to Minimal Length and Modified Dispersion Relation
• Ramifications of Lineland
• Global geometry of two-dimensional charged black holes
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics
• A Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes I - Basic Formulation and a Conjecture
• Action Complexity for Semi-Classical Black Holes
• Renormalization of $⟨{\varphi }^2⟩$ at the inner horizon of rotating, accreting black holes
• Semiclassical S-matrix for black holes
• Constraints in two-dimensional Dilaton Gravity with Fermions
• Natural Cutoffs effect on Charged Rotating TeV-Scale Black Hole Thermodynamics