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arXiv · 2410.02851

An exact solution describing a scalar counterpart to the Schwarzschild-Melvin Universe

Vitor Cardoso·José Natário
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Abstract

The Schwarzschild-Melvin spacetime is an exact solution of the Einstein electrovacuum equations describing a black hole immersed in a magnetic field which is asymptotically aligned with the z-axis. It plays an important role in our understanding of the interplay between geometry and matter, and is often used as a proxy for astrophysical environments. Here, we construct the scalar counterpart to the Schwarzschild-Melvin spacetime: a non-asymptotically flat black hole geometry with an everywhere regular scalar field whose gradient is asymptotically aligned with the z-axis.

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Vitor Cardoso, José Natário. 2024-10-03. An exact solution describing a scalar counterpart to the Schwarzschild-Melvin Universe. https://arxiv.org/abs/2410.02851

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