Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
Valeria Diemer, Jutta Kunz, Claus Lämmerzahl, Stephan Reimers
Physical Review D
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
... icle orbits and by addressing observables in this spacetime.