Brane cosmology with an anisotropic bulk
Author(s) -
Alessandro Fabbri,
David Langlois,
D. A. Steer,
Robin Zegers
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/09/025
Subject(s) - brane , physics , brane cosmology , anisotropy , cosmology , context (archaeology) , spacetime , tensor (intrinsic definition) , perfect fluid , classical mechanics , theoretical physics , universe , isotropy , geometry , quantum mechanics , paleontology , mathematics , biology
In the context of brane cosmology, a scenario where our universe is a3+1-dimensional surface (the ``brane'') embedded in a five-dimensionalspacetime (the ``bulk''), we study geometries for which the brane isanisotropic - more specifically Bianchi I - though still homogeneous. We firstobtain explicit vacuum bulk solutions with anisotropic three-dimensionalspatial slices. The bulk is assumed to be empty but endowed with a negativecosmological constant. We then embed Z_2-symmetric branes in the anisotropicspacetimes and discuss the constraints on the brane energy-momentum tensor dueto the five-dimensional anisotropic geometry. We show that if the bulk isstatic, an anisotropic brane cannot support a perfect fluid. However, we findthat for some of our bulk solutions it is possible to embed a brane with aperfect fluid though its energy density and pressure are completely determinedby the bulk geometry.Comment: 20 pages, 1 figur
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