Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-09-30
Phys.Rev.D81:044020,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, 11 figures
Scientific paper
10.1103/PhysRevD.81.044020
The complete analytical solutions of the geodesic equations in Kerr-de Sitter and Kerr-anti-de Sitter space-times are presented. They are expressed in terms of Weierstrass elliptic p, zeta, and sigma functions as well as hyperelliptic Kleinian sigma functions restricted to the one-dimensional theta-divisor. We analyze the dependency of timelike geodesics on the parameters of the space-time metric and the test-particle and compare the results with the situation in Kerr space-time with vanishing cosmological constant. Furthermore, we systematically can find all last stable spherical and circular orbits and derive the expressions of the deflection angle of flyby orbits, the orbital frequencies of bound orbits, the periastron shift, and the Lense-Thirring effect.
Hackmann Eva
Kagramanova Valeria
Kunz Jutta
L{ä}mmerzahl Claus
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