München 2009 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 4: Klassische Allgemeine Relativitätstheorie I

GR 4.6: Talk

Tuesday, March 10, 2009, 15:40–16:00, A214

Geodesic equation in Kerr-de Sitter spacetimes — •Eva Hackmann and Claus Lämmerzahl — ZARM, Universität Bremen

Recently, a method for analytically solving the geodesic equation in Schwarzschild-de Sitter spacetime has been developed [Phys. Rev. Lett. 100, 171101 (2008), Phys. Rev. D 78, 024035 (2008)]. The solution ansatz utilizes the theory of hyperelliptic functions and is based on a limiting case of Jacobi's inversion problem in two complex dimensions. In its final form, the solution is given in terms of Kleinian sigma functions. We present our efforts for a generalisation of this method to the equation of motion in Kerr-de Sitter spacetimes.