63 research outputs found
Brane Universe: Global Geometry
The global geometries of bulk vacuum space-times in the brane-universe models
are investigated and classified in terms of geometrical invariants. The
corresponding Carter-Penrose diagrams and embedding diagrams are constructed.
It is shown that for a given energy-momentum induced on the brane there can be
different types of global geometries depending on the signs of a bulk
cosmological term and surface energy density of the brane (the sign of the
latter does not influence the internal cosmological evolution). It is shown
that in the Randall-Sundrum scenario it is possible to have an asymmetric
hierarchy splitting even with a -symmetric matching of "our" brane to the
bulk.Comment: 23 pages, 34 figures, Talk given at the "Invisible Universe
International Conference ", Paris, June 29 -July 3, 200
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