Solenoid configurations and gravitational free energy of the AdS--Melvin spacetime
Yen-Kheng Lim
TL;DR
This paper investigates a magnetic universe embedded in AdS spacetime using solenoid configurations, analyzing stability through gravitational free energy calculations, and introduces a charged scalar field at the interface.
Contribution
It presents a novel solenoid setup within AdS spacetime and examines the stability of the AdS--Melvin solution via free energy analysis.
Findings
Reconstruction of AdS--Melvin spacetime from solenoid configurations.
Identification of a charged scalar field at the interface.
Stability analysis through gravitational free energy computation.
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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