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

Journal Article · Tue Sep 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.066004· OSTI ID:21322796

Kihara, Hironobu; Zaballa, Ignacio ^[1]; Nitta, Muneto ^[2]; Sasaki, Misao ^[1]; Yoo, Chul-Moon ^[3]

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1. Korea Institute for Advanced Study, 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul 130-722 (Korea, Republic of)
2. Department of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521 (Japan)
3. Asia Pacific Center for Theoretical Physics, Hogil Kim Memorial Building 501, Pohang University of Science and Technology, San 31, Hyoja-dong, Namgu, Pohang, Gyeongbuk 790-784 (Korea, Republic of)

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 {lambda}{sub 1} 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 {lambda}{sub 1}=0 is found to behave as a matter-dominated universe which asymptotically approaches flat space-time, while the solution with a nonvanishing {lambda}{sub 1} approaches de Sitter space-time in the asymptotic future.

• OSTI ID: 21322796
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
ASYMPTOTIC SOLUTIONS
COMPACTIFICATION
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
COSMOLOGY
COUPLING
DE SITTER SPACE
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
METRICS
SPACE-TIME
TIME DEPENDENCE
UNIVERSE
YANG-MILLS THEORY