2010/02/12 by Eva Hackmann, Cláus Lämmerzahl, Valeria Kagramanova +2 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Geodesic #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Quantum mechanics #Space (punctuation) #Universe #gr-qc
paper · pdf · doi:10.1103/physrevd.81.044020
published as Phys.Rev.D81:044020,2010 · 18 pages, 11 figures
openalex publication_date 2010/02/12 · arxiv created 2010/09/30 · arxiv updated 2011/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 \ensuremath\wp, \ensuremathζ, and \ensuremathσ functions as well as hyperelliptic Kleinian \ensuremathσ functions restricted to the one-dimensional \ensuremathθ 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.