### Abstract

Assuming a Calabi-Yau compactification, cosmological solutions are presented in ten-dimensional, N=1 Yang-Mills supergravity theory with the curvature squared term (R^{2}
_{μνρ{variant}σ} -4R_{μν}
^{2} + R^{2}). In a vacuum state, Kasner-type soluti ons exist as well as (four-dimensional Minkoswki space-time)×(a Calabi-Yau space). In the later stage of the universe the (four-dimensional Friedmann universe)×(a constant Calabi-Yau space) is realized asymptotically like an attractor. This solution is asymptotically stable against small perturbations.

Original language | English |
---|---|

Pages (from-to) | 59-64 |

Number of pages | 6 |

Journal | Physics Letters B |

Volume | 166 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1986 Jan 2 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Cosmological solutions with Calabi-Yau compactification.** / Maeda, Keiichi.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 166, no. 1, pp. 59-64. https://doi.org/10.1016/0370-2693(86)91155-X

}

TY - JOUR

T1 - Cosmological solutions with Calabi-Yau compactification

AU - Maeda, Keiichi

PY - 1986/1/2

Y1 - 1986/1/2

N2 - Assuming a Calabi-Yau compactification, cosmological solutions are presented in ten-dimensional, N=1 Yang-Mills supergravity theory with the curvature squared term (R2 μνρ{variant}σ -4Rμν 2 + R2). In a vacuum state, Kasner-type soluti ons exist as well as (four-dimensional Minkoswki space-time)×(a Calabi-Yau space). In the later stage of the universe the (four-dimensional Friedmann universe)×(a constant Calabi-Yau space) is realized asymptotically like an attractor. This solution is asymptotically stable against small perturbations.

AB - Assuming a Calabi-Yau compactification, cosmological solutions are presented in ten-dimensional, N=1 Yang-Mills supergravity theory with the curvature squared term (R2 μνρ{variant}σ -4Rμν 2 + R2). In a vacuum state, Kasner-type soluti ons exist as well as (four-dimensional Minkoswki space-time)×(a Calabi-Yau space). In the later stage of the universe the (four-dimensional Friedmann universe)×(a constant Calabi-Yau space) is realized asymptotically like an attractor. This solution is asymptotically stable against small perturbations.

UR - http://www.scopus.com/inward/record.url?scp=0002941866&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002941866&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(86)91155-X

DO - 10.1016/0370-2693(86)91155-X

M3 - Article

AN - SCOPUS:0002941866

VL - 166

SP - 59

EP - 64

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -