arxiv: 1208.3686 · v2 · pith:3Z7JKGWKnew · submitted 2012-08-17 · 🌀 gr-qc

Analytic treatment of geodesics in five-dimensional Myers-Perry space--times

Valeria Kagramanova , Stephan Reimers This is my paper

classification 🌀 gr-qc

keywords analyticalfive-dimensionalmyers-perrytestweierstraanalyticcharacterizecomplete

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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.

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Analytic treatment of geodesics in five-dimensional Myers-Perry space--times

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