Compact objects with scalar charge embedded in a magnetic or electric field in Einstein-Maxwell-dilaton theories
arXiv:2502.13829 · doi:10.1140/epjc/s10052-025-14179-w
Abstract
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 \textit{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 \& Minazzoli 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.
9 pages
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