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Null geodesics in black hole metrics with non-zero cosmological constant

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Abstract

We study the radial motion along null geodesics in the Reissner-Nordström-de Sitter and Kerr-de Sitter space-times. We analyze the properties of the effective potential and we discuss circular orbits. We find that:

  1. 1)

    the radius of circular photon orbits in the Reissner-Nordström-de Sitter space-times does not depend on the cosmological constant. We show also how this is related to properties of the optical reference geometry.

  2. 2)

    For a specific range of the cosmological constant, photons with high impact parameter may travel radially between the cosmological horizon and the black hole horizon in the equatorial plane of the Kerr-de Sitter space-times.

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Authors and Affiliations

  1. Department of Physics, Technical University, Ostrava, Czechoslovakia

    Zdenek Stuchlik

  2. International Center for Theoretical Physics, I-34014, Trieste, Italy

    Zdenek Stuchlik

  3. Astronomical Observatory of Padua, I-35122, Padova, Italy

    Massimo Calvani

  4. International School for Advanced Studies (SISSA), I-3401, Trieste, Italy

    Massimo Calvani

Authors
  1. Zdenek Stuchlik
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  2. Massimo Calvani
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Stuchlik, Z., Calvani, M. Null geodesics in black hole metrics with non-zero cosmological constant. Gen Relat Gravit 23, 507–519 (1991). https://doi.org/10.1007/BF00758012

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  • DOI: https://doi.org/10.1007/BF00758012

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