Integrable Cosmological Models From Higher Dimensional Einstein Equations
arXiv:hep-th/0703257 · doi:10.1103/PhysRevD.76.064006
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.
10 pages, 2 figures, added reference, corrected typos(v2), explanation improved and references and acknowledgments added, accepted for publication in PRD(v3)
References in corpus (26)
- Supergravity description of field theories on curved manifolds and a no go theorem
- Spacelike Branes
- Accelerating Cosmologies from Compactification
- Accelerating Cosmologies from S-Branes
- Impact of CP phases on the search for sleptons tau and nu_tau
- S-brane Solutions in Supergravity Theories
- A Study of Accelerating Cosmologies from Superstring/M theories
- Hyperbolic Space Cosmologies
- Accelerating cosmologies from M/String theory compactifications
- Intersection Rules for S-Branes
- Cosmological Solutions in String Theories
- String and M-Theory Cosmological Solutions with Ramond Forms
- A note on accelerating cosmologies from compactifications and S-branes
- Cosmological Solutions of Type II String Theory
- Accelerating Cosmologies from Exponential Potentials
- From p-branes to Cosmology
- Liouville and Toda Solitons in M-theory
- M/String Theory, S-branes and Accelerating Universe
- A Note on Acceleration from Product Space Compactification
- Stringy Toda Cosmologies
- Stabilizing dilaton and moduli vacua in string and M--Theory cosmology
- SL(N+1,R) Toda Solitons in Supergravities
- Addendum to "Hyperbolic Space Cosmologies"
- Classically Integrable Cosmological Models with a Scalar Field
- A No-go theorem for de Sitter compactifications?
- Inflation from String/M-Theory Compactification?