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Arbitrarily deformed Kerr-Newman black hole in an external gravitational field

N. Bretón*, A. A. García, and V. S. Manko

T. E. Denisova

  • Depto. de Física, CINVESTAV – I.P.N., A.P. 14-740, 07000 Mexico, D.F., Mexico

  • Department of Mathematical Analysis, Peoples’ Friendship University of Russia, 6 Miklukho-Maklay Str., Moscow 117198, Russia

  • *Email address: Nora.Breton@fis.cinvestav.mx
  • Email address: Alberto.Garcia@fis.cinvestav.mx
  • Email address: VSManko@fis.cinvestav.mx

Phys. Rev. D 57, 3382 – Published 15 March, 1998

DOI: https://doi.org/10.1103/PhysRevD.57.3382

Abstract

An exact axisymmetric solution of the Einstein-Maxwell equations possessing two infinite sets of arbitrary real parameters and able to describe a deformed Kerr-Newman black hole in an external gravitational field is presented in a concise analytic form. The validity of Smarr’s mass formula is demonstrated for a Kerr-Newman black hole surrounded by an external static gravitational field.

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