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

C. H. G. Bessa·J. A. S. Lima
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Abstract

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 $Λ$-term. The motion is strongly dependent on the sign of $Λ$. In Schwarzschild-de Sitter (SdS) space-time ($Λ> 0$), 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 ($Λ< 0$) the horizon coordinate is associated to a unique turning point.

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C. H. G. Bessa, J. A. S. Lima. 2004-07-07. On the existence of turning points in D-dimensionsal Schwarzschild-de Sitter and anti-de Sitter spacetimes. https://doi.org/10.1142/s0218271804005341

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