Jena 2013 – wissenschaftliches Programm
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GR: Fachverband Gravitation und Relativitätstheorie
GR 11: Hauptvorträge: Relativistische Astrophysik
GR 11.1: Hauptvortrag
Donnerstag, 28. Februar 2013, 11:15–12:00, HS 6
Geodesics and their observation in General Relativity — •Eva Hackmann1, Victor Enolski2, Valeria Kagramanova3, Jutta Kunz3, and Claus Lämmerzahl1,3 — 1ZARM, Universität Bremen, Germany — 2Institute of Magnetism, NAS Kyiv, Ukraine — 3Institut für Physik, Universität Oldenburg, Germany
The geodesic equation for the motion of test-particles in General Relativity can be solved by using algebro-geometric methods in a wide range of space-times. In particular, the geodesic equation in the two most basic space-times given by the Schwarzschild and the Kerr metric can be solved in terms of elliptic functions, whereas some more general type D space-times require hyperelliptic functions. Directly related observable effects like the perihelion shift or the bending of light, but also the timing of pulsars, can be expressed in terms of (hyper-)elliptic integrals and functions. Also, the calculation of observational effects in the more general Hořava-Lifshitz gravity benefits from such a description. In this talk, we will present analytic expressions and address computational problems for geodesics and related observations.