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GR: Fachverband Gravitation und Relativitätstheorie

GR 13: Klassische Allgemeine Relativitätstheorie 1

GR 13.3: Vortrag

Donnerstag, 18. März 2010, 09:50–10:10, JUR K

Analytical solution of the geodesic equations in the NUT–(de Sitter) spacetime. — •Valeria Kagramanova¹, Jutta Kunz¹, Eva Hackmann², and Claus Lämmerzahl² — ¹Universität Oldenburg — ²ZARM, Universität Bremen

We analytically solve the geodesic equations in the NUT–de Sitter spacetime which belongs to the Petrov type D spacetimes of generalized Black Holes and is characterized by the (gravielectric) mass and the gravimagnetic mass. The analytical solution of the geodesic equations, given in terms of Weierstrass elliptic functions (NUT) and hyperelliptic theta and sigma functions (NUT–de Sitter), allows us to systematically study the motion of test particles and to derive analytic expressions for the observables. In particular, we discuss the incomplete geodesics in these spacetimes.