• DOI:10.1103/PhysRevD.55.7926
• Corpus ID: 14090023

Cosmological solutions in string theories

@article{Lu1997CosmologicalSI,
  title={Cosmological solutions in string theories},
  author={H. Q. Lu and Sudipta Mukherji and C N Pope and K.-W. Xu},
  journal={Physical Review D},
  year={1997},
  volume={55},
  pages={7926-7935}
}

• H. Lu, S. Mukherji, +1 author K.-W. Xu
• Published 16 October 1996
• Mathematics, Physics
• Physical Review D

We obtain a large class of cosmological solutions in the toroidally compactified low-energy limits of string theories in D dimensions. We consider solutions where a p-dimensional subset of the spatial coordinates, parametrizing a flat space, a sphere, or a hyperboloid, describes the spatial sections of the physically observed Universe. The equations of motion reduce to Liouville or SL(N+1,R) Toda equations, which are exactly solvable. We study some of the cases in detail, and find that under suitable conditions they can describe four-dimensional expanding universes. We discuss also how the solutions in D dimensions behave upon oxidation back to the D=10 string theory or D=11 M theory. {copyright} {ital 1997} {ital The American Physical Society}