Islands in linear dilaton black holes
Abstract We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page’s time is established. After that, emergent islands modify to a large extent the entropy, which becomes finite and is...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2021-03-01
|
Series: | Journal of High Energy Physics |
Subjects: | |
Online Access: | https://doi.org/10.1007/JHEP03(2021)253 |
id |
doaj-4ecab958200f41c285f2ca792cb9dd6b |
---|---|
record_format |
Article |
spelling |
doaj-4ecab958200f41c285f2ca792cb9dd6b2021-03-28T11:07:26ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312410.1007/JHEP03(2021)253Islands in linear dilaton black holesGeorgios K. Karananas0Alex Kehagias1John Taskas2Arnold Sommerfeld Center, Ludwig-Maximilians-Universität MünchenPhysics Division, National Technical University of AthensPhysics Division, National Technical University of AthensAbstract We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page’s time is established. After that, emergent islands modify to a large extent the entropy, which becomes finite and is saturated by its Bekenstein-Hawking value in accordance with the finiteness of the von Neumann entropy of eternal black holes. We demonstrate that viewed from the string frame, our solution is the two-dimensional Witten black hole with two additional free bosons. We generalize our findings by considering a general class of linear dilaton black hole solutions at a generic point along the σ-model renormalization group (RG) equations. For those, we observe that the entanglement entropy is “running” i.e. it is changing along the RG flow with respect to the two-dimensional worldsheet length scale. At any fixed moment before Page’s time the aforementioned entropy increases towards the infrared (IR) domain, whereas the presence of islands leads the running entropy to decrease towards the IR at later times. Finally, we present a four-dimensional charged black hole that asymptotes to the linear dilaton background as well. We compute the associated entanglement entropy for the extremal case and we find that an island is needed in order for it to follow the Page curve.https://doi.org/10.1007/JHEP03(2021)253Black HolesBlack Holes in String Theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Georgios K. Karananas Alex Kehagias John Taskas |
spellingShingle |
Georgios K. Karananas Alex Kehagias John Taskas Islands in linear dilaton black holes Journal of High Energy Physics Black Holes Black Holes in String Theory |
author_facet |
Georgios K. Karananas Alex Kehagias John Taskas |
author_sort |
Georgios K. Karananas |
title |
Islands in linear dilaton black holes |
title_short |
Islands in linear dilaton black holes |
title_full |
Islands in linear dilaton black holes |
title_fullStr |
Islands in linear dilaton black holes |
title_full_unstemmed |
Islands in linear dilaton black holes |
title_sort |
islands in linear dilaton black holes |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-03-01 |
description |
Abstract We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page’s time is established. After that, emergent islands modify to a large extent the entropy, which becomes finite and is saturated by its Bekenstein-Hawking value in accordance with the finiteness of the von Neumann entropy of eternal black holes. We demonstrate that viewed from the string frame, our solution is the two-dimensional Witten black hole with two additional free bosons. We generalize our findings by considering a general class of linear dilaton black hole solutions at a generic point along the σ-model renormalization group (RG) equations. For those, we observe that the entanglement entropy is “running” i.e. it is changing along the RG flow with respect to the two-dimensional worldsheet length scale. At any fixed moment before Page’s time the aforementioned entropy increases towards the infrared (IR) domain, whereas the presence of islands leads the running entropy to decrease towards the IR at later times. Finally, we present a four-dimensional charged black hole that asymptotes to the linear dilaton background as well. We compute the associated entanglement entropy for the extremal case and we find that an island is needed in order for it to follow the Page curve. |
topic |
Black Holes Black Holes in String Theory |
url |
https://doi.org/10.1007/JHEP03(2021)253 |
work_keys_str_mv |
AT georgioskkarananas islandsinlineardilatonblackholes AT alexkehagias islandsinlineardilatonblackholes AT johntaskas islandsinlineardilatonblackholes |
_version_ |
1724200476978708480 |