On the existence of turning points in d-dimensional Schwarzschild-de Sitter and Anti-de Sitter spacetimes

摘要

We investigate the motion of a test particle in a d-dimensional, spherically symmetric and static spacetime 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 axe 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) spacetime (Lambda < 0) the horizon coordinate is associated to an unique turning point.