On Schwarzschild's Topology in Brane-Worlds

Details On Schwarzschild's Topology in Brane-Worlds On Schwarzschild's Topology in Brane-Worlds

2002-12-13

arxiv.org/abs/gr-qc/0212059v2

Int.J.Mod.Phys.A17:4355-4358,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

10.1142/S0217751X02013411

The topological structure of Schwarzschild's space-time and its maximal analytic extension are investigated in context of brane-worlds. Using the embedding coordinates, these geometries are seen as different states of the evolution of a single brane-world. Comparing the topologies and the embeddings it is shown that this evolution must be followed by a signature change in the bulk.

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