Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant

Mar 20, 2014
12 pages
Published in:
  • Phys.Rev.D 89 (2014) 12, 124004
  • Published: Jun 6, 2014
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Abstract: (APS)

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 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.

Note:
  • 11 pages, 10 figures
  • 04.70.-s
  • 95.30.Sf
  • 98.35.Jk
  • space-time: de Sitter
  • black hole: de Sitter
  • anti-de Sitter
  • charge: magnetic
  • charge: electric
  • cosmological constant
  • photon