Integrable cosmological models from higher dimensional Einstein equations
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 spacetime 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 fourdimensional Einstein frame and study the accelerating universe when both our space and the internal space have negative curvatures.
 Publication:

Physical Review D
 Pub Date:
 September 2007
 DOI:
 10.1103/PhysRevD.76.064006
 arXiv:
 arXiv:hepth/0703257
 Bibcode:
 2007PhRvD..76f4006S
 Keywords:

 04.50.+h;
 11.25.Mj;
 98.80.Cq;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Compactification and fourdimensional models;
 Particletheory and fieldtheory models of the early Universe;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 10 pages, 2 figures, added reference, corrected typos(v2), explanation improved and references and acknowledgments added, accepted for publication in PRD(v3)