Achronal ANEC, Weak Cosmic Censorship, and AdS/CFT duality

Abstract

We examine the achronal averaged null energy condition~(ANEC) for a class of conformal field theories~(CFT) at strong coupling in curved spacetime. By applying the AdS/CFT duality, we find holographic models which violate the achronal ANEC for $3+1$ and $4+1$-dimensional boundary theories. In our model, the bulk spacetime is an asymptotically AdS vacuum bubble solution with neither causality violation nor singularities. The conformal boundary of our bubble solution is asymptotically flat and is causally proper in the sense that a "fastest null geodesics" connecting any two points on the boundary must lie entirely on the boundary. We show that conversely, if the spacetime fails to have this causally proper nature, then there must be a naked singularity in the bulk.

arXiv comment10 pages, 3 figures

References in corpus (18)

• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
• Does backreaction enforce the averaged null energy condition in semiclassical gravity?
• Averaged Energy Conditions and Quantum Inequalities
• Theorems on gravitational time delay and related issues
• Gravitational vacuum polarization II: Energy conditions in the Boulware vacuum
• Supergravity on the Brane
• Achronal averaged null energy condition
• Axial symmetry and conformal Killing vectors
• Scale anomalies imply violation of the averaged null energy condition
• Cosmology from an AdS Schwarzschild black hole via holography
• A holographic proof of the averaged null energy condition
• Absence of a local rest frame in far from equilibrium quantum matter
• Averaged null energy condition violation in a conformally flat spacetime
• The averaged null energy condition and difference inequalities in quantum field theory
• Singularities in asymptotically anti-de Sitter spacetimes
• Violation of the quantum null-energy condition in a holographic wormhole and infrared effects

Cited by in corpus (9)

• Energy conditions in general relativity and quantum field theory
• Spacetime Singularities and Cosmic Censorship Conjecture: A Review with Some Thoughts
• Distinguishing Brans-Dicke-Kerr type naked singularities and black holes with their thin disk electromagnetic radiation properties
• Conformally invariant averaged null energy condition from AdS/CFT
• Global aspects of conformal symmetry and the ANEC in dS and AdS
• Semiclassical Einstein equations from holography and boundary dynamics
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• The averaged null energy conditions in even dimensional curved spacetimes from AdS/CFT duality
• Simple Bulk Reconstruction in AdS/CFT Correspondence