Freiburg 2008 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 4: Klassische Allgemeine Relativitätstheorie

GR 4.3: Talk

Tuesday, March 4, 2008, 14:40–15:00, KGI-HS 1010

Analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--time — •Eva Hackmann and Claus Lämmerzahl — ZARM - Universität Bremen, Am Fallturm, 28359 Bremen

The complete set of analytic solutions of the geodesic equation in a Schwarzschild-(anti)de Sitter space-time is presented. The solutions are derived from the Jacobi inversion problem restricted to the set of zeros of the theta function, called the theta divisor. In its final form the solutions can be expressed in terms of derivatives of Kleinian sigma functions. The different types of the resulting orbits are characterized in terms of the conserved energy and angular momentum as well as the cosmological constant. Using the analytical solution, the question whether the cosmological constant could be a cause of the Pioneer Anomaly is addressed.