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:
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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.
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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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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