Uniqueness of dark matter magnetized static black hole spacetime

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.

23 pages, RevTEx, to be published in Phys.Rev.D15

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Cited by in corpus (3)

• Dark photon - dark energy stationary axisymmetric black holes
• Influence of dark photon on magnetized and charged particle orbits around static spherically symmetric black hole
• Can synchrotron radiation reveal the presence of {\it dark sector} around black hole?