https://doi.org/10.1140/epjc/s10052-025-14179-w
Regular Article - Theoretical Physics
Compact objects with scalar charge embedded in a magnetic or electric field in Einstein–Maxwell-dilaton theories
1
Artemis, Université Côte d’Azur, CNRS, Observatoire Côte d’Azur, BP4229, 06304, Nice Cedex 4, France
2
Bureau des Affaires Spatiales, 2 rue du Gabian, 98000, Monaco, Monaco
3
Departament de Física Quántica i Astrofísica (FQA), Universitat de Barcelona (UB), Carrer de Martí i Franquès, 1, 08028, Barcelona, Spain
Received:
19
February
2025
Accepted:
10
April
2025
Published online:
30
April
2025
In this paper, we generalize the Schwarzschild–Melvin solution within Einstein–Maxwell-dilaton theories to include non-null scalar charges, while remaining embedded in a magnetic or electric field à la Melvin. We then use this general solution to obtain the solution in the specific case of Entangled Relativity after a conformal transformation. This notably enables us to verify that the analytical solution used in Arruga and Minazzoli (Eur Phys J C 81(11):1027, 2021) in order to represent compact objects such as neutron stars in Entangled Relativity is indeed a good approximation of the exact solutions of Entangled Relativity when the background field goes to zero.
© The Author(s) 2025
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