Mountain pass solution for the self-dual Einstein–Maxwell–Higgs model on compact surfaces

In this paper, we find two different solutions for the self-dual Maxwell–Higgs model coupled with gravitational fields by employing variational methods. One is a local minimizer and the other is the mountain pass solution.

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Bibliographic Details
Published in:Journal of mathematical physics 2023-07, Vol.64 (7)
Main Author: Sohn, Juhee
Format: Article
Language:English
Subjects:
Gravitational fields
Physics
Variational methods
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Description
Summary:In this paper, we find two different solutions for the self-dual Maxwell–Higgs model coupled with gravitational fields by employing variational methods. One is a local minimizer and the other is the mountain pass solution.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0151106