Geodesic Structure of the Noncommutative Schwarzschild Anti-de Sitter Black Hole I: Timelike Geodesics

Details Geodesic Structure of the Noncommutative Schwarzschild Anti-de Sitter Black Hole I: Timelike Geodesics Geodesic Structure of the Noncommutative Schwarzschild Anti-de Sitter Black Hole I: Timelike Geodesics

2011-10-04

arxiv.org/abs/1110.0778v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 6 figures

Scientific paper

By considering particles as smeared objects, we investigate the effects of space noncommutativity on the geodesic structure in Schwarzschild-AdS spacetime. By means of a detailed analysis of the corresponding effective potentials for particles, we find the possible motions which are allowed by the energy levels. Radial and non-radial trajectories are treated and the effects of space noncommutativity on the value of the precession of the perihelion are estimated. We show that the geodesic structure of this black hole presents new types of motion not allowed by the Schwarzschild spacetime.

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