On Schwarzschild's Topology in Brane-Worlds

Abstract

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.

6 pages

Cited by in corpus (3)

• On the Geometry of Dark Energy
• The Embedding of Schwarzschild in Braneworld
• Global Embedding of Analytic Branes into Einstein MD Bulk Cosmology