English

Black hole entropy as entanglement entropy: a holographic derivation

High Energy Physics - Theory 2009-11-11 v3 General Relativity and Quantum Cosmology

Abstract

We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement entropy using AdS/CFT holography implies that black hole entropy can be exactly equated with entanglement entropy. The implementation of entanglement entropy in this context solves all the problems (such as cutoff dependence and the species problem) typically associated with this identification.

Keywords

Cite

@article{arxiv.hep-th/0603081,
  title  = {Black hole entropy as entanglement entropy: a holographic derivation},
  author = {Roberto Emparan},
  journal= {arXiv preprint arXiv:hep-th/0603081},
  year   = {2009}
}

Comments

14 pages, 2 figures. v2: relevant earlier reference added and discussed. v3: new section about connection to another notion of entanglement in AdS/CFT. Refs added, and