Integrable Cosmological Models From Higher Dimensional Einstein Equations
High Energy Physics - Theory
2008-11-26 v3 General Relativity and Quantum Cosmology
Abstract
We consider the cosmological models for the higher dimensional spacetime which includes the curvatures of our space as well as the curvatures of the internal space. We find that the condition for the integrability of the cosmological equations is that the total space-time dimensions are D=10 or D=11 which is exactly the conditions for superstrings or M-theory. We obtain analytic solutions with generic initial conditions in the four dimensional Einstein frame and study the accelerating universe when both our space and the internal space have negative curvatures.
Cite
@article{arxiv.hep-th/0703257,
title = {Integrable Cosmological Models From Higher Dimensional Einstein Equations},
author = {Masakazu Sano and Hisao Suzuki},
journal= {arXiv preprint arXiv:hep-th/0703257},
year = {2008}
}
Comments
10 pages, 2 figures, added reference, corrected typos(v2), explanation improved and references and acknowledgments added, accepted for publication in PRD(v3)