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arXiv · 1711.02933

Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime

Saskia Grunau·Hendrik Neumann·Stephan Reimers
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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 $\wp$-, $σ$- and $ζ$-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.

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Saskia Grunau, Hendrik Neumann, Stephan Reimers. 2018-02-09. Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime. https://doi.org/10.1103/physrevd.97.044011

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