Proper time to the black hole singularity from thermal one-point functions

Abstract

We argue that the proper time from the horizon to the black hole singularity can be extracted from the thermal expectation values of certain operators outside the horizon. This works for fields which couple to higher curvature terms, so that they can decay into two gravitons. To extract this time, it is necessary to vary the mass of the field.

arXiv comment24 + 9 pages. 9 figures. V2: references added. V3: appendix on the 3d case added

References in corpus (18)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• The Black Hole Singularity in AdS/CFT
• Emergent Spacetime and Holographic CFTs
• Inside the Horizon with AdS/CFT
• AdS/CFT 4-point functions: How to succeed at z-integrals without really trying
• The Conformal Bootstrap at Finite Temperature
• A Cardy Formula for Three-Point Coefficients: How the Black Hole Got its Spots
• Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE
• From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals
• Bounds on OPE Coefficients from Interference Effects in the Conformal Collider
• Universal Lowest-Twist in CFTs from Holography
• Black Holes, Heavy States, Phase Shift and Anomalous Dimensions
• Thermal Conformal Blocks
• Heavy-light Bootstrap from Lorentzian Inversion Formula
• Computing Three-Point Functions for Short Operators
• Model-Dependence of Minimal-Twist OPEs in $d>2$ Holographic CFTs

Cited by in corpus (40)

• Holographic thermal correlators from supersymmetric instantons
• Gravitational orbits, double-twist mirage, and many-body scars
• Correlation functions in finite temperature CFT and black hole singularities
• Trans-IR Flows to Black Hole Singularities
• Wheeler-DeWitt states of the AdS-Schwarzschild interior
• Bootstrap bounds on D0-brane quantum mechanics
• Thermal correlation functions in CFT and factorization
• Thermal one point functions, large $d$ and interior geometry of black holes
• Kasner interiors from analytic hairy black holes
• Black hole interiors in holographic topological semimetals
• Interior of helical black holes
• Thermal three-point functions from holographic Schwinger-Keldysh contours
• Holographic thermal correlators revisited
• Boundary signature of singularity in the presence of a shock wave
• Aspects of thermal one-point functions and response functions in AdS Black holes
• Rescuing a black hole in the large-$q$ coupled SYK model
• AdS Black Holes with a Bouncing Interior
• Shock waves, black hole interiors and holographic RG flows
• On Black Hole Thermodynamics, Singularity, and Gravitational Entropy
• Holographic correlation functions at finite density and/or finite temperature
• Tidal excitation as mixing in thermal CFT
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Holographic thermal correlators: A tale of Fuchsian ODEs and integration contours
• Chaotic and Thermal Aspects in the Highly Excited String S-Matrix
• Strong Cosmic Censorship in Two Dimensions
• Thermalization of Holographic Excited States
• Interior structure of the holographic s + p superconductor and chaotic-stable transition near the black hole singularity
• Unveiling horizons in quantum critical collapse
• The generalized holographic $c$-function for regular AdS black holes
• Spinning Particle Geometries in AdS${}_3$/CFT${}_2$
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Semi-Classical Analysis of the String Theory Cigar
• Resummation of Multi-Stress Tensors in Higher Dimensions
• Finite Temperature at Finite Places
• Convergence of the Fefferman-Graham expansion and complex black hole anatomy
• A holographic realization of correlation and mutual information
• ISCOs and the weak gravity conjecture bound in higher derivative theories of gravity
• Composite AdS geodesics for CFT correlators and timelike entanglement entropy
• A Reverse Black Hole Information Problem
• Black hole singularities across phase transitions