Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime
| Autor: | Stephan Reimers, Hendrik Neumann, Saskia Grunau |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Physics Spacetime Geodesic 010308 nuclear & particles physics Geodesic map Null (mathematics) FOS: Physical sciences Motion (geometry) Equations of motion General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology AdS/CFT correspondence Classical mechanics High Energy Physics - Theory (hep-th) 0103 physical sciences Mathematics::Differential Geometry 010306 general physics Solving the geodesic equations Mathematical physics |
| Zdroj: | Physical Review D. 97 |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.97.044011 |
| Popis: | 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 Weierstra{\ss} $\wp$-, $\sigma$- and $\zeta$-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. Comment: References added, minor corrections |
| Databáze: | OpenAIRE |
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