The latitudinal and radial geodetical motion in Kerr-de Sitter spacetime

Mathematics – Logic

Scientific paper

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Scientific paper

The discussion of the latitudinal and radial photon motion in the Kerr- de Sitter (KdS) spacetime is examined by using the ``Chinese boxes'' technique. Only the case with a positive cosmological constant is considered. The latitudinal motion is discussed by using a new motion constant Q vanishing for motion in the equatorial plane. This will be more comfortable for the next discussion of the photon off-equatorial motion in KdS spacetime. For the radial motion an ``effective potential'' governing the photon radial motion is used, circular photon orbits are determined and their stability is discussed.

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