Tuesday, August 21, 2012

1208.3686 (Valeria Kagramanova et al.)

Analytic treatment of geodesics in five-dimensional Myers-Perry
space--times
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Valeria Kagramanova, Stephan Reimers
We present the complete set of analytical solutions of the geodesic equation in the five-dimensional Myers-Perry space-time with equal rotation parameter in terms of the Weierstra{\ss}' elliptic and Weierstra{\ss}' zeta and sigma functions. We study the underlying polynomials in the polar and radial equations which depend on the parameters of the metric and conserved quantities of a test particle and characterize the motion by their zeros. We exemplify the efficiency of the analytical method on the orbits of test particles.
View original: http://arxiv.org/abs/1208.3686

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