On the existence of a turning point inside a L - black hole

Mathematics – Logic

Scientific paper

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Scientific paper

The motion of a test particle in a spherically symmetric and static space-time with positive cosmological constant (L) is rediscussed. In such space-time, besides the physical singularity at r = 0, there are two coordinate singularities at two finite radii (say, r1 and r2) which depend on the values of M and L. It is shown that whether a particle follows a radial geodesic motion, it will met a turning point located between r1 and r2, and, consequently, the particle cannot reach the internal physical singularity. This phenomenon can be better understood using the corresponding Carter-Penrose diagram.

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