On the existence of turning points in D-dimensionsal Schwarzschild-de Sitter and anti-de Sitter spacetimes

Details On the existence of turning points in D-dimensionsal Schwarzschild-de Sitter and anti-de Sitter spacetimes On the existence of turning points in D-dimensionsal Schwarzschild-de Sitter and anti-de Sitter spacetimes

2004-07-07

arxiv.org/abs/gr-qc/0407028v1

Int.J.Mod.Phys. D13 (2004) 1217-1222

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures, accepted for publication in IJMPD

Scientific paper

10.1142/S0218271804005341

We investigate the motion of a test particle in a d-dimensional, spherically symmetric and static space-time supported by a mass $M$ plus a $\Lambda$-term. The motion is strongly dependent on the sign of $\Lambda$. In Schwarzschild-de Sitter (SdS) space-time ($\Lambda > 0$), besides the physical singularity at $r=0$ there are cases with two horizons and two turning points, one horizon and one turning point and the complete absence of horizon and turning points. For Schwarzschild-Anti de Sitter (SAdS) space-time ($\Lambda < 0$) the horizon coordinate is associated to a unique turning point.

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