Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 17, Issue 22, Pages 4745-4763Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/17/22/313
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Starting from a completely general standpoint, we find the most general brane-universe solutions for a 3-brane in a five-dimensional spacetime. The brane can border regions of spacetime with or without a cosmological constant. Making no assumptions other than the usual cosmological symmetries of the metric, we prove that the equations of motion form an integrable system, and find the exact solution. The cosmology is indeed a boundary of a (class II) Schwarzschild-AdS spacetime, or a Minkowski (class I) spacetime. We analyse the various cosmological trajectories focusing particularly on those bordering vacuum spacetimes. We find, not surprisingly, that not all cosmologies are compatible with an asymptotically Aat spacetime branch. We comment on the role of the radion in this picture.
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