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Compact objects with scalar charge embedded in a magnetic or electric field in Einstein-Maxwell-dilaton theories

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arxiv 2502.13829 v2 pith:3HWVS3VS submitted 2025-02-19 gr-qc

Compact objects with scalar charge embedded in a magnetic or electric field in Einstein-Maxwell-dilaton theories

Olivier Minazzoli , Maxime Wavasseur This is my paper
classification gr-qc
keywords solutionentangledfieldrelativitycompacteinstein-maxwell-dilatonelectricembedded
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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{\`a 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.

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