Inhomogeneous Multidimensional Cosmologies
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/9902059,
title = {Inhomogeneous Multidimensional Cosmologies},
author = {Santiago E. Perez Bergliaffa},
journal= {arXiv preprint arXiv:gr-qc/9902059},
year = {2007}
}
Comments
RevTeX, 12 pages, discussion on the fulfillment of the energy conditions added. Accepted for publication in Mod. Phys. Lett. A