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arXiv · 2111.05484

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

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.

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Yen-Kheng Lim. 2021-11-10. Solenoid configurations and gravitational free energy of the AdS--Melvin spacetime. https://doi.org/10.3390/e23111477

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