Beyond the veil: Inner horizon instability and holography

Abstract

We show that scalar perturbations of the eternal, rotating BTZ black hole should lead to an instability of the inner (Cauchy) horizon, preserving strong cosmic censorship. Because of backscattering from the geometry, plane wave modes have a divergent stress tensor at the event horizon, but suitable wavepackets avoid this difficulty, and are dominated at late times by quasinormal behavior. The wavepackets have cuts in the complexified coordinate plane that are controlled by requirements of continuity, single-valuedness and positive energy. Due to a focusing effect, regular wavepackets nevertheless have a divergent stress-energy at the inner horizon, signaling an instability. This instability, which is localized behind the event horizon, is detected holographically as a breakdown in the semiclassical computation of dual CFT expectation values in which the analytic behavior of wavepackets in the complexified coordinate plane plays an integral role. In the dual field theory, this is interpreted as an encoding of physics behind the horizon in the entanglement between otherwise independent CFTs.

arXiv comment40 pages, LaTeX, 3 eps figures, v2: references added

References in corpus (34)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Eternal Black Holes in AdS
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Self-Interaction Correction to Black Hole Radiance
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Holographic Probes of Anti-de Sitter Spacetimes
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• The Black Hole Singularity in AdS/CFT
• Holographic Particle Detection
• Inside the Horizon with AdS/CFT
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior
• A proof of Price's law for the collapse of a self-gravitating scalar field
• Microcanonical D-branes and Back Reaction
• On geodesic propagators and black hole holography
• Bulk and Boundary Dynamics in BTZ Black Holes
• Asymptotic Quasinormal Frequencies for Black Holes in Non-Asymptotically Flat Spacetimes
• A New Approach to String Cosmology
• Possible Resolution of Black Hole Singularities from Large N Gauge Theory
• Single-exterior black holes and the AdS-CFT conjecture
• Strings in the Extended BTZ Spacetime
• Non-linear instability of Kerr-type Cauchy horizons
• A Multi-Boundary AdS Orbifold and DLCQ Holography: A universal holographic description of extremal black hole horizons
• Radiation collapse and gravitational waves in three dimensions
• Holography beyond the horizon and cosmic censorship
• Precursors see inside black holes
• Interior Structure of a Charged Spinning Black Hole in $(2+1)$-Dimensions
• Extracting Data from Behind Horizons with the AdS/CFT Correspondence
• Price's law, mass inflation, and strong cosmic censorship
• Back-Reaction and Complementarity in 1+1 Dilaton Gravity

Cited by in corpus (38)

• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• The Library of Babel: On the origin of gravitational thermodynamics
• Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)
• Massless black holes and black rings as effective geometries of the D1-D5 system
• States and Boundary Terms: Subtleties of Lorentzian AdS/CFT
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Typicality versus thermality: An analytic distinction
• On the Chaos Bound in Rotating Black Holes
• Extracting the bulk metric from boundary information in asymptotically AdS spacetimes
• Thermodynamics of Exotic Black Holes, Negative Temperature, and Bekenstein-Hawking Entropy
• Quantitative approaches to information recovery from black holes
• Integrability of Particle Motion and Scalar Field Propagation in Kerr-(Anti) de Sitter Black Hole Spacetimes in All Dimensions
• On Charged Black Holes in Anti-de Sitter Space
• Rotating traversable wormholes in AdS
• BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Inhomogeneous charged black hole solutions in asymptotically anti-de Sitter spacetime
• Black Hole Vacua and Rotation
• Scalar perturbations of black holes in Jackiw-Teitelboim gravity
• Gravity/CFT correspondence for three dimensional Einstein gravity with a conformal scalar field
• Extremal black holes, Holography & Coarse graining
• Extra dimensions, black holes and fireballs at the LHC
• Holographic Probes of Inner Horizons
• Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry
• Integrability of Some Charged Rotating Supergravity Black Hole Solutions in Four and Five Dimensions
• A simple quantum test for smooth horizons
• D-Brane Instability as a Large N Phase Transition
• Tomograms of Spinning Black Holes
• Mass inflation and strong cosmic censorship in a non-extreme BTZ black hole
• Holographic CFT states for localized perturbations to AdS black holes
• O-BTZ: Orientifolded BTZ Black Hole
• Orientifolded Locally AdS3 Geometries
• Bulk reconstruction in rotating BTZ black hole
• Einstein black holes, free scalars and AdS/CFT correspondence
• Strong Cosmic Censorship in Two Dimensions
• A Note on Particles and Scalar Fields in Higher Dimensional Nutty Spacetimes
• What we don't know about time