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General Relativity and Quantum Cosmology

arXiv:2111.05484 (gr-qc)
[Submitted on 10 Nov 2021]

Title:Solenoid configurations and gravitational free energy of the AdS--Melvin spacetime

Authors:Yen-Kheng Lim
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Abstract: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.
Comments: 16 pages, 1 figure
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.05484 [gr-qc]
  (or arXiv:2111.05484v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.2111.05484
Journal reference: Entropy 2021, 23(11), 1477
Related DOI: https://doi.org/10.3390/e23111477

Submission history

From: Yen-Kheng Lim PhD [view email]
[v1] Wed, 10 Nov 2021 01:55:55 UTC (94 KB)
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