On non-singular solutions in multidimensional cosmology

Details On non-singular solutions in multidimensional cosmology On non-singular solutions in multidimensional cosmology

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1132..429m&link_type=abstract

COSMOLOGY AND GRAVITATION: XIII Brazilian School on Cosmology and Gravitation (XIII BSCG). AIP Conference Proceedings, Volume 1

Mathematics

Logic

Classical Electromagnetism, Maxwell Equations, Spontaneous And Radiative Symmetry Breaking, Ordinary And Partial Differential Equations, Boundary Value Problems, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

Exact solutions with an exponential behaviour of the scale factors are considered in a multidimensional cosmological model describing the dynamics of n+1 Ricci-flat factor spaces Mi in the presence of a one-component perfect fluid. The pressures in all spaces are proportional to the density: pi = wiρ, i = 0,...,n. Solutions with accelerated expansion of our 3-space M0 and a small enough variation of the gravitational constant G are found.
A family of generalized non-singular S-brane solutions with orthogonal intersection rules and n Ricci-flat factor spaces in the theory with several scalar fields, antisymmetric forms and multiple scalar potential is considered. The solution possess exponential behaviour of scale factors. These solutions contain a sub-family of solutions with accelerated expansion of certain factor spaces. Some examples of solutions with exponential dependence of one scale factor and constant scale factors of ``internal'' spaces (e.g. Freund-Rubin type solutions) are also considered.

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