### Abstract

We study cosmology of the Einstein-Yang-Mills theory in ten dimensions with a quartic term in the Yang-Mills field strength. We obtain analytically a class of cosmological solutions in which the extra dimensions are static and the scale factor of the four-dimensional Friedmann-Lemaitre-Robertson-Walker metric is an exponential function of time. This means that the model can explain inflation. Then we look for solutions that describe dynamical compactification of the extra dimensions. The effective cosmological constant λ1 in the four-dimensional universe is determined from the gravitational coupling, ten-dimensional cosmological constant, gauge coupling, and higher derivative coupling. By numerical integration, the solution with λ1=0 is found to behave as a matter-dominated universe which asymptotically approaches flat space-time, while the solution with a nonvanishing λ1 approaches de Sitter space-time in the asymptotic future.

Original language | English |
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Article number | 066004 |

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

Volume | 80 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2009 Sep 8 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*80*(6), [066004]. https://doi.org/10.1103/PhysRevD.80.066004

**Dynamical compactification and inflation in Einstein-Yang-Mills theory with higher derivative coupling.** / Kihara, Hironobu; Nitta, Muneto; Sasaki, Misao; Yoo, Chul Moon; Zaballa, Ignacio.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 80, no. 6, 066004. https://doi.org/10.1103/PhysRevD.80.066004

}

TY - JOUR

T1 - Dynamical compactification and inflation in Einstein-Yang-Mills theory with higher derivative coupling

AU - Kihara, Hironobu

AU - Nitta, Muneto

AU - Sasaki, Misao

AU - Yoo, Chul Moon

AU - Zaballa, Ignacio

PY - 2009/9/8

Y1 - 2009/9/8

N2 - We study cosmology of the Einstein-Yang-Mills theory in ten dimensions with a quartic term in the Yang-Mills field strength. We obtain analytically a class of cosmological solutions in which the extra dimensions are static and the scale factor of the four-dimensional Friedmann-Lemaitre-Robertson-Walker metric is an exponential function of time. This means that the model can explain inflation. Then we look for solutions that describe dynamical compactification of the extra dimensions. The effective cosmological constant λ1 in the four-dimensional universe is determined from the gravitational coupling, ten-dimensional cosmological constant, gauge coupling, and higher derivative coupling. By numerical integration, the solution with λ1=0 is found to behave as a matter-dominated universe which asymptotically approaches flat space-time, while the solution with a nonvanishing λ1 approaches de Sitter space-time in the asymptotic future.

AB - We study cosmology of the Einstein-Yang-Mills theory in ten dimensions with a quartic term in the Yang-Mills field strength. We obtain analytically a class of cosmological solutions in which the extra dimensions are static and the scale factor of the four-dimensional Friedmann-Lemaitre-Robertson-Walker metric is an exponential function of time. This means that the model can explain inflation. Then we look for solutions that describe dynamical compactification of the extra dimensions. The effective cosmological constant λ1 in the four-dimensional universe is determined from the gravitational coupling, ten-dimensional cosmological constant, gauge coupling, and higher derivative coupling. By numerical integration, the solution with λ1=0 is found to behave as a matter-dominated universe which asymptotically approaches flat space-time, while the solution with a nonvanishing λ1 approaches de Sitter space-time in the asymptotic future.

UR - http://www.scopus.com/inward/record.url?scp=70349866072&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349866072&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.80.066004

DO - 10.1103/PhysRevD.80.066004

M3 - Article

AN - SCOPUS:70349866072

VL - 80

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

M1 - 066004

ER -