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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2021
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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) |
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DOAJ |
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AdS gravity magnetic universe gravitational thermodynamics Science Q Astrophysics QB460-466 Physics QC1-999 |
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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 |
_version_ |
1718412293313658880 |