Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-08-16
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, presented in the "International Conference on Modern Perspectives of Cosmology and Gravitation" - cosgrav12, Indian
Scientific paper
In this paper, we have made a study of the geodesics of neutral particles near a non-rotating, charged five-dimensional Reissner-Nordstr\"{o}m Anti-de Sitter black hole from the point of view of effective potential formalism and the dynamical systems approach. The horizons can be easily located from the effective potential under which the test particles move. This also helps us to study radial motion and to analyze the stability of radial trajectories. The stability of circular orbits have also been analyzed and the radius of the innermost stable circular orbits have been determined. Contrary to the case of massive particles for which, in general, the circular orbits may have up to eight possible values of specific radius, we find that the photons will only have two distinct values for the specific radii of circular trajectories. Finally we have used the dynamical systems analysis to determine the critical points and the nature of the orbits for the timelike and null geodesics.
Bhattacharya Pinaki
Chakraborty Subenoy
Guha Sarbari
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