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Dynamics of test particles in the general five-dimensional Myers-Perry spacetime

Valeria Diemer, Jutta Kunz, Claus Lämmerzahl, Stephan Reimers
2014 Physical Review D  

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2014 pre-print arXiv:1404.3865v1 fatcat:s7hnttx3u5dlda6zhy7ou3ma6q
We present the complete set of analytical solutions of the geodesic equation in the general five-dimensional Myers-Perry spacetime in terms of the Weierstrass -, ζ- and σ-functions. We analyze the underlying polynomials in the polar and radial equations, which depend on the parameters of the metric and the conserved quantities of a test particle, and characterize the motion by their zeros. We exemplify the efficiency of the analytical method on the basis of the explicit construction of test
more » ... icle orbits and by addressing observables in this spacetime.
doi:10.1103/physrevd.89.124026 fatcat:hobydsvcwjdrfbxaxtfgyvwtfm
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Valeria Diemer, Jutta Kunz, Claus Lämmerzahl, Stephan Reimers. "Dynamics of test particles in the general five-dimensional Myers-Perry spacetime." Physical Review D 89.12 (2014)