Magnetized Black Holes in an External Gravitational Field

Abstract

We obtain a family of exact solutions describing magnetized black holes in an external gravitational field. Locally the solutions can be interpreted as representing the near-horizon region of a black hole, which interacts with a surrounding matter distribution producing a strong magnetic field. Thus, the solutions reflect the influence of both a gravitational and an electromagnetic external potential in the strong field regime. The static members in the family are generalizations of the Schwarzschild solution in the described environment, while the rotating ones generalize the magnetized Reissner-Nordström solution when the influence of an external gravitational source is also taken into account. Technically, the solutions are obtained by means of a Harrison transformation. We examine the thermodynamical properties of the solutions, and compare them with the corresponding isolated black holes, and with the particular cases when the interaction with only one of the external potentials is taken into account. For the static black holes the influence of the external gravitational and magnetic fields is factorized in a sense, both affecting different properties, and leaving the rest intact. For the rotating solutions the external gravitational and magnetic fields are coupled through the conditions for avoiding conical singularities. The Meissner effect is observed for extremal rotating solutions only in the zero-charge limit, similar to the magnetized Reissner-Nordström black hole.

26 pages

References in corpus (9)

• Universal properties of distorted Kerr-Newman black holes
• Mass of Kerr-Newman Black Holes in an external magnetic field
• The Black Hole Meissner Effect and Blandford-Znajek Jets
• Interior of Distorted Black Holes
• Ergoregions in Magnetised Black Hole Spacetimes
• Distorted 5-dimensional vacuum black hole
• Myers-Perry Black Hole in an External Gravitational Field
• Black hole Meissner effect and entanglement
• Uniqueness of dilaton Melvin-Schwarzschild solution

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• Scattering on Quasi-Spherical Black-Holes: Features and Beyond