Inhomogeneous Multidimensional Cosmologies
Abstract
Description
Einstein's equations for a 4+n-dimensional inhomogeneous space-time are presented, and a special family of solutions is exhibited for an arbitrary n. The solutions depend on two arbitrary functions of time. The time development of a particular member of this family is studied. This solution exhibits a singularity at t=0 and dynamical compactification of the n dimensions. It is shown that the behaviour of the system in the 4-dimensional i.e. post-compactification phase is constrained by the way in which the compactified dimensions are stabilized. The fluid that generates the solution is analyzed by means of the energy conditions.
RevTeX, 12 pages, discussion on the fulfillment of the energy conditions added. Accepted for publication in Mod. Phys. Lett. A
RevTeX, 12 pages, discussion on the fulfillment of the energy conditions added. Accepted for publication in Mod. Phys. Lett. A