Integrable Cosmological Models From Higher Dimensional Einstein Equations

Details Integrable Cosmological Models From Higher Dimensional Einstein Equations Integrable Cosmological Models From Higher Dimensional Einstein Equations

2007-03-28

arxiv.org/abs/hep-th/0703257v3

Phys.Rev.D76:064006,2007

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures, added reference, corrected typos(v2), explanation improved and references and acknowledgments added, acce

Scientific paper

10.1103/PhysRevD.76.064006

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.

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