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Photon regions and shadows of Kerr-Newman-NUT black holes with a cosmological constant

Arne Grenzebach*, Volker Perlick†, and Claus Lämmerzahl‡

  • ZARM, Universität Bremen, Am Fallturm, D-28359 Bremen, Germany

  • *arne.grenzebach@zarm.uni-bremen.de
  • †volker.perlick@zarm.uni-bremen.de
  • ‡claus.laemmerzahl@zarm.uni-bremen.de
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Phys. Rev. D 89, 124004 – Published 6 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.124004

Abstract

We consider the Plebański class of electrovacuum solutions to the Einstein equations with a cosmological constant. These space-times, which are also known as the Kerr-Newman-NUT–(anti–)de Sitter space-times, are characterized by a mass m, a spin a, a parameter β that comprises electric and magnetic charge, a NUT parameter ℓ and a cosmological constant Λ. Based on a detailed discussion of the photon regions in these space-times (i.e., of the regions in which spherical lightlike geodesics exist), we derive an analytical formula for the shadow of a Kerr-Newman-NUT–(anti–)de Sitter black hole for an observer at given Boyer-Lindquist coordinates (rO,ϑO) in the domain of outer communication. We visualize the photon regions and the shadows for various values of the parameters.

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Phys. Rev. D 89, 124004– Published 6 June, 2014
  • Received 1 April 2014

© 2014 American Physical Society

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