Semiclassical Einstein equations from holography and boundary dynamics
arXiv:2301.12170 · doi:10.1007/JHEP05(2023)212
Abstract
In this paper, we consider how to formulate semiclassical problems in the context of the AdS/CFT correspondence, based on the proposal of Compere and Marolf. Our prescription involves the effective action with self-action term for boundary dynamical fields, which can be viewed as imposing mixed boundary conditions for the gravity dual. We derive the semiclassical Einstein equations sourced by boundary CFT stress-energy tensor. Analyzing perturbations of the holographic semiclassical Einstein equations, we find a universal parameter which controls the contribution from boundary CFTs and specifies dynamics on the AdS boundary. As a simple example, we examine the semiclassical Einstein equations in -dimensions with -dimensional AdS gravity dual, and show that the boundary BTZ black hole with vanishing expectation value of the stress-energy tensor becomes unstable due to the backreaction from quantum stress-energy tensor when the parameter exceeds a certain critical value.
arXiv comment34 page, 4 figures; one figure and refs added, some clarifications made, version to appear in JHEP
References in corpus (32)
- Gauge Theory Correlators from Non-Critical String Theory
- The Black Hole in Three Dimensional Space Time
- A Stress Tensor for Anti-de Sitter Gravity
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Lecture Notes on Holographic Renormalization
- The Einstein Equations on the 3-Brane World
- Black Strings and p-Branes are Unstable
- Evanescent Black Holes
- Holographic Dual of BCFT
- Setting the boundary free in AdS/CFT
- Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
- Conformally dressed black hole in 2+1 dimensions
- Scalar field quantization on the 2+1 dimensional black hole background
- The Holographic Superconductor Vortex
- Emergent Gauge Fields in Holographic Superconductors
- Achronal averaged null energy condition
- Evidence for an Electrifying Violation of Cosmic Censorship
- Hawking radiation from AdS black holes
- Hawking radiation in large N strongly-coupled field theories
- Quantum fluctuation of stress tensor and black holes in three dimensions
- Averaged null energy condition violation in a conformally flat spacetime
- Brane Dynamics of Holographic BCFTs
- Holography and magnetohydrodynamics with dynamical gauge fields
- Holographic Evolution with Dynamical Boundary Gravity
- Stability of BTZ black strings
- Vacuum polarization around a three-dimensional black hole
- Black Tsunamis and Naked Singularities in AdS
- Time evolution of a toy semiholographic glasma
- Phases of Holographic Hawking Radiation on spatially compact spacetimes
- On two pieces of folklore in the AdS/CFT duality
- Achronal ANEC, Weak Cosmic Censorship, and AdS/CFT duality
- Gravitational Corner Conditions in Holography