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

Journal Article · Mon Mar 15 00:00:00 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, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevD.81.064003; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCELERATION
BRANES
COSMOLOGY
EXPANSION
FORECASTING
GRAVITATION
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
METRICS
NONLUMINOUS MATTER
SPACE-TIME
UNIVERSE
VECTOR FIELDS
FIELD THEORIES
MATTER
UNIFIED-FIELD THEORIES