Phys. Rev. Lett. 100, 171101 (2008) [4 pages]Complete Analytic Solution of the Geodesic Equation in Schwarzschild–(Anti-)de Sitter SpacetimesReceived 29 November 2007; published 2 May 2008 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 theta divisor. In its final form the solutions can be expressed in terms of derivatives of Kleinian sigma functions. The solutions are completely classified by the structure of the zeros of the characteristic polynomial which depends on the energy, angular momentum, and the cosmological constant. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.171101
DOI:
10.1103/PhysRevLett.100.171101
PACS:
04.20.Jb, 02.30.Hq
See AlsoSee Also: Eva Hackmann, Claus Lämmerzahl, Valeria Kagramanova, and Jutta Kunz, Analytical solution of the geodesic equation in Kerr-(anti-) de Sitter space-times, Phys. Rev. D 81, 044020 (2010). |
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