Five-dimensional metric f(R) gravity and the accelerated universe

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.064003· OSTI ID:21409396

Biao, Huang; Song, Li; Yongge, Ma ^[1]

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1. Department of Physics, Beijing Normal University, Beijing 100875 (China)

The metric f(R) theories of gravity are generalized to five-dimensional spacetimes. By assuming a hypersurface-orthogonal Killing vector field representing the compact fifth dimension, the five-dimensional theories are reduced to their four-dimensional formalism. Then we study the cosmology of a special class of f(R)={alpha}R{sup m} models in a spatially flat Friedmann-Robertson-Walker spacetime. It is shown that the parameter m can be constrained to a certain range by the current observed deceleration parameter, and its lower bound corresponds to the Kaluza-Klein theory. It turns out that both expansion and contraction of the extra dimension may prescribe the smooth transition from the deceleration era to the acceleration era in the recent past as well as an accelerated scenario for the present Universe. Hence, five-dimensional f(R) gravity can naturally account for the present accelerated expansion of the Universe. Moreover, the models predict a transition from acceleration to deceleration in the future, followed by a cosmic recollapse within finite time. This differs from the prediction of the five-dimensional Brans-Dicke theory but is inconsistent with a recent prediction based on loop quantum cosmology.

• OSTI ID: 21409396
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 81; 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
ACCELERATION
BRANES
COSMOLOGY
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FORECASTING
GRAVITATION
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
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METRICS
NONLUMINOUS MATTER
SPACE-TIME
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UNIVERSE
VECTOR FIELDS