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

Hironobu Kihara, Muneto Nitta, Misao Sasaki, Chul Moon Yoo, Ignacio Zaballa

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


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 languageEnglish
Article number066004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
Publication statusPublished - 2009 Sept 8

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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