Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime

In this paper we explore a solenoid configuration involving a magnetic universe solution embedded in an empty Anti-de Sitter (AdS) spacetime. This requires a non-trivial surface current at the interface between the two spacetimes, which can be provided by a charged scalar field. When the interface i...

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Autor principal: Yen-Kheng Lim
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Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/770563609e7746b08975f0ac2a5b19af
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spelling oai:doaj.org-article:770563609e7746b08975f0ac2a5b19af2021-11-25T17:29:57ZSolenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime10.3390/e231114771099-4300https://doaj.org/article/770563609e7746b08975f0ac2a5b19af2021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1477https://doaj.org/toc/1099-4300In this paper we explore a solenoid configuration involving a magnetic universe solution embedded in an empty Anti-de Sitter (AdS) spacetime. This requires a non-trivial surface current at the interface between the two spacetimes, which can be provided by a charged scalar field. When the interface is taken to the AdS boundary, we recover the full AdS–Melvin spacetime. The stability of the AdS–Melvin solution is also studied by computing the gravitational free energy from the Euclidean action.Yen-Kheng LimMDPI AGarticleAdS gravitymagnetic universegravitational thermodynamicsScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1477, p 1477 (2021)
institution DOAJ
collection DOAJ
language EN
topic AdS gravity
magnetic universe
gravitational thermodynamics
Science
Q
Astrophysics
QB460-466
Physics
QC1-999
spellingShingle AdS gravity
magnetic universe
gravitational thermodynamics
Science
Q
Astrophysics
QB460-466
Physics
QC1-999
Yen-Kheng Lim
Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime
description In this paper we explore a solenoid configuration involving a magnetic universe solution embedded in an empty Anti-de Sitter (AdS) spacetime. This requires a non-trivial surface current at the interface between the two spacetimes, which can be provided by a charged scalar field. When the interface is taken to the AdS boundary, we recover the full AdS–Melvin spacetime. The stability of the AdS–Melvin solution is also studied by computing the gravitational free energy from the Euclidean action.
format article
author Yen-Kheng Lim
author_facet Yen-Kheng Lim
author_sort Yen-Kheng Lim
title Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime
title_short Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime
title_full Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime
title_fullStr Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime
title_full_unstemmed Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime
title_sort solenoid configurations and gravitational free energy of the ads–melvin spacetime
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/770563609e7746b08975f0ac2a5b19af
work_keys_str_mv AT yenkhenglim solenoidconfigurationsandgravitationalfreeenergyoftheadsmelvinspacetime
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