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

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arxiv 1208.3686 v2 pith:3Z7JKGWK submitted 2012-08-17 gr-qc

Valeria Kagramanova , Stephan Reimers This is my paper · ORCID
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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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  1. The geodesic structure of BPS one-branes in five dimensions

    hep-th 2024-11 conditional novelty 4.0 of 10

    Geodesics around the five-dimensional BPS one-brane are smooth and open for positive coupling q, while negative q creates a repulsive singular sphere that splits the spacetime into disconnected regions.

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