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arXiv · 2309.08350

Uniqueness of dark matter magnetized static black hole spacetime

Marek Rogatko
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Abstract

Uniqueness problem of static axially symmetric black hole in magnetic Universe filled with {\it dark matter} component has been considered. The {\it dark matter} model comprises the additional $U(1)$-gauge field ({\it dark photon}) interacting with Maxwell one by the kinetic mixing term. We show that all the solutions of Einstein-Maxwell {\it dark photon} gravity subject to the same boundary and regularity conditions authorize the only static axially symmetric black hole solutions with non-vanishing time and azimuthal components of Maxwell and {\it hidden} sector gauge fields, say Schwarzschild-like black hole immersed in {\it dark matter} Melvin Universe.

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Marek Rogatko. 2023-09-15. Uniqueness of dark matter magnetized static black hole spacetime. https://doi.org/10.1103/physrevd.108.064026

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