Computing Black Hole Entropy at Infinity
High Energy Physics - Theory
2018-11-19 v1
Abstract
We show that the entropy of asymptotically flat, nonextremal black holes can be computed at infinity. We provide a prescription for transforming these black holes to black holes with the same entropy by dimensional reduction to 2D and a Weyl transformation. We apply our prescription to Schwarzschild, 4D Reissner--Nordstrom and generic nonextremal black holes. In the transformed coordinates, the asymptotic regions contain a global whose entropy can be computed either as the holographic entanglement entropy or as the entanglement entropy of a pair of Rindler spaces in the thermofield double state. This precisely reproduces the entropy of the original nonextremal black holes.
Cite
@article{arxiv.1811.06854,
title = {Computing Black Hole Entropy at Infinity},
author = {Freya Edholm and Edi Halyo},
journal= {arXiv preprint arXiv:1811.06854},
year = {2018}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:1805.06079