### Abstract

We present a detailed study of inflationary solutions in M theory with higher order quantum corrections. We first exhaust all exact and asymptotic solutions of exponential and power-law expansions in this theory with quartic curvature corrections, and then perform a linear perturbation analysis around fixed points for the exact solutions in order to see which solutions are more generic and give interesting cosmological models. We find an interesting solution in which the external space expands exponentially and the internal space is static both in the original and Einstein frames. Furthermore, we perform a numerical calculation around this solution and find numerical solutions which give enough e-foldings. We also briefly summarize similar solutions in type II superstrings.

Original language | English |
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Article number | 103506 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 73 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2006 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

**Inflation from superstring and M-theory compactification with higher order corrections. - II. - Case of quartic Weyl terms.** / Akune, Kenta; Maeda, Keiichi; Ohta, Nobuyoshi.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Inflation from superstring and M-theory compactification with higher order corrections. - II. - Case of quartic Weyl terms

AU - Akune, Kenta

AU - Maeda, Keiichi

AU - Ohta, Nobuyoshi

PY - 2006

Y1 - 2006

N2 - We present a detailed study of inflationary solutions in M theory with higher order quantum corrections. We first exhaust all exact and asymptotic solutions of exponential and power-law expansions in this theory with quartic curvature corrections, and then perform a linear perturbation analysis around fixed points for the exact solutions in order to see which solutions are more generic and give interesting cosmological models. We find an interesting solution in which the external space expands exponentially and the internal space is static both in the original and Einstein frames. Furthermore, we perform a numerical calculation around this solution and find numerical solutions which give enough e-foldings. We also briefly summarize similar solutions in type II superstrings.

AB - We present a detailed study of inflationary solutions in M theory with higher order quantum corrections. We first exhaust all exact and asymptotic solutions of exponential and power-law expansions in this theory with quartic curvature corrections, and then perform a linear perturbation analysis around fixed points for the exact solutions in order to see which solutions are more generic and give interesting cosmological models. We find an interesting solution in which the external space expands exponentially and the internal space is static both in the original and Einstein frames. Furthermore, we perform a numerical calculation around this solution and find numerical solutions which give enough e-foldings. We also briefly summarize similar solutions in type II superstrings.

UR - http://www.scopus.com/inward/record.url?scp=33646561546&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.73.103506

DO - 10.1103/PhysRevD.73.103506

M3 - Article

VL - 73

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 10

M1 - 103506

ER -