Brane cosmology with a bulk scalar field
David Langlois, Maria Rodriguez-Martinez (IAP, Paris)
TL;DR
This paper explores five-dimensional brane cosmology models with a bulk scalar field, deriving explicit solutions under specific assumptions and analyzing their implications for the universe's evolution.
Contribution
It provides new explicit solutions for brane cosmology with a bulk scalar field using conformal gauge and light-cone coordinates, advancing understanding of such models.
Findings
Derived explicit solutions assuming scalar field proportionality to log scale factor
Obtained separable solutions for the five-dimensional spacetime
Discussed cosmological implications of these solutions on the brane
Abstract
We consider ``cosmologically symmetric'' (i.e. solutions with homogeneity and isotropy along three spatial dimensions) five-dimensional spacetimes with a scalar field and a three-brane representing our universe. We write Einstein's equations in a conformal gauge, using light-cone coordinates. We obtain explicit solutions: a. assuming proportionality between the scalar field and the logarithm of the (bulk) scale factor; b. assuming separable solutions. We then discuss the cosmology in the brane nduced by these solutions.
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