Non-Abelian brane cosmology

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, latex, 1 figure. Submitted to the Proceedings of the VFC workshop at JENAM2002, Portu, Portugal, 1-6 september 2002

Scientific paper

10.1023/A:1022576112321

We discuss isotropic and homogeneous D-brane-world cosmology with non-Abelian Born-Infeld (NBI) matter on the brane. In the usual Friedmann-Robertson-Walker (FRW) model the scale non-invariant NBI matter gives rise to an equation of state which asymptotes to the string gas equation $p=-\epsilon/3$ and ensures a start-up of the cosmological expansion with zero acceleration. We show that the same state equation in the brane-world setup leads to the Tolman type evolution as if the conformal symmetry was effectively restored. This is not precisely so in the NBI model with symmetrized trace, but the leading term in the expansion law is still the same. A cosmological sphaleron solution on the D-brane is presented.

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