Peter Bowcock et al 2000 Class. Quantum Grav. 17 4745 doi:10.1088/0264-9381/17/22/313
Peter Bowcock, Christos Charmousis and Ruth Gregory
Show affiliationsStarting 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 flat spacetime branch. We comment on the role of the radion in this picture.
04.50.-h Higher-dimensional gravity and other theories of gravity
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
Issue 22 (21 November 2000)
Received 28 July 2000
Peter Bowcock et al 2000 Class. Quantum Grav. 17 4745
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