https://doi.org/10.1140/epjp/s13360-025-06129-y
Regular Article
Schwarzschild black-hole immersed in an electric or magnetic background in Entangled Relativity
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 Quàntica i Astrofísica (FQA), Universitat de Barcelona (UB), Carrer de Martí i Franquès 1, 08028, Barcelona, Spain
Received:
10
July
2024
Accepted:
13
February
2025
Published online:
28
February
2025
In this paper, we present the solution for a Schwarzschild black-hole immersed in an electric or magnetic background field à la Melvin within the framework of Entangled Relativity. Previous solutions in Entangled Relativity required black-holes to be charged for the matter field to be defined everywhere. This is because the theory precludes the existence of vacuum solutions, thereby satisfying Einstein’s definition of Mach’s Principle. The current black-hole solutions represent the first exact and neutral black-hole solutions of Entangled Relativity discovered to date. The Schwarzschild black-hole of General Relativity emerges as a limit of these solutions when the background field approaches zero, whereas the Melvin solution of General Relativity does not emerge as a limit when the black hole’s size approaches zero. This finding suggests that astrophysical black-holes in Entangled Relativity are indistinguishable from those in General Relativity, given the generally weak interstellar density of matter fields.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
