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Space-time compactification/decompactification transitions via lightlike branes

We consider Einstein-Maxwell-Kalb-Ramond gravity-matter system in bulk space-time interacting self-consistently with two (widely separated) codimension-one electrically charged lightlike branes. The lightlike brane dynamics is explicitly given by manifestly reparametrization invariant world-volume a...

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Bibliographic Details
Published in:General relativity and gravitation 2011-05, Vol.43 (5), p.1487-1513
Main Authors: Guendelman, Eduardo, Kaganovich, Alexander, Nissimov, Emil, Pacheva, Svetlana
Format: Article
Language:English
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Summary:We consider Einstein-Maxwell-Kalb-Ramond gravity-matter system in bulk space-time interacting self-consistently with two (widely separated) codimension-one electrically charged lightlike branes. The lightlike brane dynamics is explicitly given by manifestly reparametrization invariant world-volume actions in two equivalent dual to each other formulations (Polyakov-type and Nambu-Goto-type ones) proposed in our previous work. We find an explicit solution of the pertinent Einstein-Maxwell-Kalb-Ramond-lightlike-brane equations of motion describing a “two-throat” wormhole-like space-time consisting of a “left” compactified Bertotti-Robinson universe connected to a “middle” non-compact Reissner-Nordström- de-Sitter space-time region, which in turn is connected to another “right” compactified Bertotti-Robinson universe. Each of the lightlike branes automatically occupies one of the “throats”, so that they dynamically induce a sequence of spontaneous space-time compactification/decompactification transitions.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-010-1134-x