Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime
arXiv:1711.02933 · doi:10.1103/PhysRevD.97.044011
Abstract
In this article we study the geodesic motion of test particles and light in the five-dimensional Myers-Perry-anti de Sitter spacetime. We derive the equations of motion and present their solutions in terms of the Weierstraß -, - and -functions. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and give a list of all possible orbit types for timelike, null and spacelike geodesics. We plot examples of the orbits and take a look at the photon region in five dimensions. Furthermore we study spacelike geodesics and their relation to the AdS/CFT correspondence.
arXiv commentReferences added, minor corrections
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