Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime

Abstract We examine the thermodynamics of Euclidean dyonic Taub-Nut/Bolt-AdS4 black holes for a variety of horizon geometries to understand how gauge field regularity conditions influence the thermodynamic relations. We find several distinct features that distinguish the NUT-charged case from its dy...

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Main Authors: Robert B. Mann, Leopoldo A. Pando Zayas, Miok Park
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)039
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spelling doaj-ede3cc14ba444393a06d8da08a6ca1892021-03-11T11:21:22ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312810.1007/JHEP03(2021)039Complement to thermodynamics of dyonic Taub-NUT-AdS spacetimeRobert B. Mann0Leopoldo A. Pando Zayas1Miok Park2Department of Physics and Astronomy, University of WaterlooLeinweber Center for Theoretical Physics, University of MichiganSchool of Physics, Korea Institute for Advanced StudyAbstract We examine the thermodynamics of Euclidean dyonic Taub-Nut/Bolt-AdS4 black holes for a variety of horizon geometries to understand how gauge field regularity conditions influence the thermodynamic relations. We find several distinct features that distinguish the NUT-charged case from its dyonic Reissner-Nordstrom counterpart. For the Nut solution, the gauge field vanishes at the horizon and so regularity is ensured. For the Bolt solution we find that the norm of the gauge field is required to vanish at the horizon in order to satisfy both regularity and the first law of thermodynamics. This regularity condition yields a constraint on the electric and magnetic charges and so reduces cohomogeneity of the system; for spherical horizons, the regularity condition removing the Misner string singularity further reduces cohomogeneity. We observe that bolt solutions with increasing electric charge have positive heat capacity, but upon turning on the magnetic charge to make the solution dyonic, we find that the properties of the uncharged one are retained, having both positive and negative heat capacity. We also study the extremal Bolt solution, finding that Misner string disappears at the horizon in the zero temperature limit. We find that the extremal solution has finite-temperature-like behaviour, with the electric potential playing a role similar to temperature.https://doi.org/10.1007/JHEP03(2021)039Black HolesClassical Theories of Gravity
collection DOAJ
language English
format Article
sources DOAJ
author Robert B. Mann
Leopoldo A. Pando Zayas
Miok Park
spellingShingle Robert B. Mann
Leopoldo A. Pando Zayas
Miok Park
Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
Journal of High Energy Physics
Black Holes
Classical Theories of Gravity
author_facet Robert B. Mann
Leopoldo A. Pando Zayas
Miok Park
author_sort Robert B. Mann
title Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
title_short Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
title_full Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
title_fullStr Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
title_full_unstemmed Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
title_sort complement to thermodynamics of dyonic taub-nut-ads spacetime
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-03-01
description Abstract We examine the thermodynamics of Euclidean dyonic Taub-Nut/Bolt-AdS4 black holes for a variety of horizon geometries to understand how gauge field regularity conditions influence the thermodynamic relations. We find several distinct features that distinguish the NUT-charged case from its dyonic Reissner-Nordstrom counterpart. For the Nut solution, the gauge field vanishes at the horizon and so regularity is ensured. For the Bolt solution we find that the norm of the gauge field is required to vanish at the horizon in order to satisfy both regularity and the first law of thermodynamics. This regularity condition yields a constraint on the electric and magnetic charges and so reduces cohomogeneity of the system; for spherical horizons, the regularity condition removing the Misner string singularity further reduces cohomogeneity. We observe that bolt solutions with increasing electric charge have positive heat capacity, but upon turning on the magnetic charge to make the solution dyonic, we find that the properties of the uncharged one are retained, having both positive and negative heat capacity. We also study the extremal Bolt solution, finding that Misner string disappears at the horizon in the zero temperature limit. We find that the extremal solution has finite-temperature-like behaviour, with the electric potential playing a role similar to temperature.
topic Black Holes
Classical Theories of Gravity
url https://doi.org/10.1007/JHEP03(2021)039
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