Topological and Geometrical Properties of Brane-Worlds

Details Topological and Geometrical Properties of Brane-Worlds Topological and Geometrical Properties of Brane-Worlds

2011-02-22

arxiv.org/abs/1102.4468v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, accepted for publication in Int. J. Geom. Metho. Mod. Phys

Scientific paper

We study the geometrical and topological properties of the bulk (environment space) when we modify the geometry or topology of a brane-world. Through the characterization of a spherically symmetric space-time as a local brane-world immersed into six dimensional pseudo-Euclidean spaces, with different signatures of the bulk, we investigate the existence of a topological difference in the immersed brane-world. In particular the Schwarzschild's brane-world and its Kruskal (or Fronsdal) brane-world extension are examined from point of view of the immersion formalism. We prove that there is a change of signature of the bulk when we consider a local isometric immersion and different topologies of a brane-world in that bulk.

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