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Phys. Rev. D 71, 063520 (2005) [27 pages]

Inflation from superstring and M-theory compactification with higher order corrections

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Kei-ichi Maeda1,2,3,* and Nobuyoshi Ohta4,†
1Department of Physics, Waseda University, Shinjuku, Tokyo 169-8555, Japan
2Advanced Research Institute for Science and Engineering, Waseda University, Shinjuku, Tokyo 169-8555, Japan
3Waseda Institute for Astrophysics, Waseda University, Shinjuku, Tokyo 169-8555, Japan
4Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan

Received 15 November 2004; published 18 March 2005

We study time-dependent solutions in M and superstring theories with higher-order corrections. We first present general field equations for theories of Lovelock type with stringy corrections in arbitrary dimensions. We then exhaust all exact and asymptotic solutions of exponential and power-law expansions in the theory with Gauss-Bonnet terms relevant to heterotic strings and in the theories with quartic corrections corresponding to the M theory and type II superstrings. We discuss interesting inflationary solutions that can generate enough e foldings in the early universe.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.063520
DOI:
10.1103/PhysRevD.71.063520
PACS:
98.80.–k, 04.65.+e, 11.25.–w

*Email address: maeda@gravity.phys.waseda.ac.jp

†Email address: ohta@phys.sci.osaka-u.ac.jp

 
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