Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons

We construct rotating black holes in $N=2$, $D=5$ minimal and matter-coupled gauged supergravity, with horizons that are homogeneous but not isotropic. Such spaces belong to the eight Thurston model geometries, out of which we consider the cases Nil and SL$(2,\mathbb{R})$. In the former, we use the...

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Published in:Journal of High Energy Physics
Main Authors: Federico Faedo, Silke Klemm, Pietro Mariotti
Other Authors: F.M. Faedo, S. Klemm, P. Mariotti
Format: Article in Journal/Newspaper
Language:English
Published: Springer : Societa Italiana di Fisica 2023
Subjects:
Online Access:https://hdl.handle.net/2434/970637
https://doi.org/10.1007/JHEP05(2023)138
http://arxiv.org/abs/2212.04890v2
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spelling ftunivmilanoair:oai:air.unimi.it:2434/970637 2024-04-21T08:08:21+00:00 Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons Federico Faedo Silke Klemm Pietro Mariotti F.M. Faedo S. Klemm P. Mariotti 2023 https://hdl.handle.net/2434/970637 https://doi.org/10.1007/JHEP05(2023)138 http://arxiv.org/abs/2212.04890v2 eng eng Springer : Societa Italiana di Fisica info:eu-repo/semantics/altIdentifier/wos/WOS:000991940100002 firstpage:1 lastpage:25 numberofpages:25 journal:JOURNAL OF HIGH ENERGY PHYSICS https://hdl.handle.net/2434/970637 doi:10.1007/JHEP05(2023)138 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85160104660 http://arxiv.org/abs/2212.04890v2 info:eu-repo/semantics/openAccess High Energy Physics - Theory General Relativity and Quantum Cosmology Settore FIS/02 - Fisica Teorica Modelli e Metodi Matematici info:eu-repo/semantics/article 2023 ftunivmilanoair https://doi.org/10.1007/JHEP05(2023)138 2024-03-27T16:48:46Z We construct rotating black holes in $N=2$, $D=5$ minimal and matter-coupled gauged supergravity, with horizons that are homogeneous but not isotropic. Such spaces belong to the eight Thurston model geometries, out of which we consider the cases Nil and SL$(2,\mathbb{R})$. In the former, we use the recipe of arXiv:hep-th/0304064 to directly rederive the solution that was obtained by Gutowski and Reall in arXiv:hep-th/0401042 as a scaling limit from a spherical black hole. With the same techniques, the first example of a black hole with SL$(2,\mathbb{R})$ horizon is constructed, which is rotating and one quarter BPS. The physical properties of this solution are discussed, and it is shown that in the near-horizon limit it boils down to the geometry of arXiv:hep-th/0401042, with a supersymmetry enhancement to one half. Dimensional reduction to $D=4$ gives a new solution with hyperbolic horizon to the t$^3$ model that carries both electric and magnetic charges. Moreover, we show how to get a nonextremal rotating Nil black hole by applying a certain scaling limit to Kerr-AdS$_5$ with two equal rotation parameters, which consists in zooming onto the north pole of the S$^2$ over which the S$^3$ is fibered, while boosting the horizon velocity effectively to the speed of light. Article in Journal/Newspaper North Pole The University of Milan: Archivio Istituzionale della Ricerca (AIR) Journal of High Energy Physics 2023 5
institution Open Polar
collection The University of Milan: Archivio Istituzionale della Ricerca (AIR)
op_collection_id ftunivmilanoair
language English
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Settore FIS/02 - Fisica Teorica
Modelli e Metodi Matematici
spellingShingle High Energy Physics - Theory
General Relativity and Quantum Cosmology
Settore FIS/02 - Fisica Teorica
Modelli e Metodi Matematici
Federico Faedo
Silke Klemm
Pietro Mariotti
Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons
topic_facet High Energy Physics - Theory
General Relativity and Quantum Cosmology
Settore FIS/02 - Fisica Teorica
Modelli e Metodi Matematici
description We construct rotating black holes in $N=2$, $D=5$ minimal and matter-coupled gauged supergravity, with horizons that are homogeneous but not isotropic. Such spaces belong to the eight Thurston model geometries, out of which we consider the cases Nil and SL$(2,\mathbb{R})$. In the former, we use the recipe of arXiv:hep-th/0304064 to directly rederive the solution that was obtained by Gutowski and Reall in arXiv:hep-th/0401042 as a scaling limit from a spherical black hole. With the same techniques, the first example of a black hole with SL$(2,\mathbb{R})$ horizon is constructed, which is rotating and one quarter BPS. The physical properties of this solution are discussed, and it is shown that in the near-horizon limit it boils down to the geometry of arXiv:hep-th/0401042, with a supersymmetry enhancement to one half. Dimensional reduction to $D=4$ gives a new solution with hyperbolic horizon to the t$^3$ model that carries both electric and magnetic charges. Moreover, we show how to get a nonextremal rotating Nil black hole by applying a certain scaling limit to Kerr-AdS$_5$ with two equal rotation parameters, which consists in zooming onto the north pole of the S$^2$ over which the S$^3$ is fibered, while boosting the horizon velocity effectively to the speed of light.
author2 F.M. Faedo
S. Klemm
P. Mariotti
format Article in Journal/Newspaper
author Federico Faedo
Silke Klemm
Pietro Mariotti
author_facet Federico Faedo
Silke Klemm
Pietro Mariotti
author_sort Federico Faedo
title Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons
title_short Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons
title_full Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons
title_fullStr Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons
title_full_unstemmed Rotating black holes with Nil or SL(2,$\,\mathbb{R}$) horizons
title_sort rotating black holes with nil or sl(2,$\,\mathbb{r}$) horizons
publisher Springer : Societa Italiana di Fisica
publishDate 2023
url https://hdl.handle.net/2434/970637
https://doi.org/10.1007/JHEP05(2023)138
http://arxiv.org/abs/2212.04890v2
genre North Pole
genre_facet North Pole
op_relation info:eu-repo/semantics/altIdentifier/wos/WOS:000991940100002
firstpage:1
lastpage:25
numberofpages:25
journal:JOURNAL OF HIGH ENERGY PHYSICS
https://hdl.handle.net/2434/970637
doi:10.1007/JHEP05(2023)138
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85160104660
http://arxiv.org/abs/2212.04890v2
op_rights info:eu-repo/semantics/openAccess
op_doi https://doi.org/10.1007/JHEP05(2023)138
container_title Journal of High Energy Physics
container_volume 2023
container_issue 5
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