Göttingen 2012 – wissenschaftliches Programm
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GR: Fachverband Gravitation und Relativitätstheorie
GR 20: Relativistische Astrophysik
GR 20.1: Vortrag
Freitag, 2. März 2012, 12:30–12:50, ZHG 002
Observables for bound orbital motion in axially symmetric space-times — •Eva Hackmann1 and Claus Lämmerzahl1,2 — 1ZARM, Universität Bremen — 2Institut für Physik, Universität Oldenburg
The periastron shift and the Lense-Thirring effect of bound orbital motion in a general axially symmetric space-time given by Plebański and Demiański are analyzed. We also define a measure for the conicity of the orbit and give analytic expressions for the observables in terms of hyperelliptic integrals and Lauricella’s FD function. For an interpretation of these analytical expressions, we perform a post-Schwarzschild and a post-Newton expansion of these quantities. This clearly shows the influence of the different space-time parameters on the considered observables and allows to characterize Kerr, Taub-NUT, Schwarzschild-de Sitter, or other space-times.