The Generalized f (R ) Model with Coupling in 5D Spacetime
WU Ya-Bo** , ZHAO Yue-Yue, LU Jian-Bo, LI Jian, ZHANG Wen-Xin, CHANG Hong
Department of Physics, Liaoning Normal University, Dalian 116029
Abstract ：The generalized f (R ) gravity with coupling in five-dimensional (5D) spacetime is studied on the basis of both the 4D generalized f (R ) gravity with coupling and the pure f (R ) gravity without coupling in 5D spacetime. Specifically, by assuming a hypersurface-orthogonal space-like Killing vector field in 5D spacetime, the generalization of the 4D generalized f (R ) gravity to 5D can be realized, which can give the reduced 4-metric coupled with two scalar fields. In particular, we discuss a special class of models, i.e., f 1 (R )=f 2 (R )=αRm (m≠ 1), and choose B (Lm )=Lm =?ρ in the homogeneous and isotropic cosmology with the 4D Friedmann–Robertson–Walker metric. The numerical analysis shows that the parameter m can be constrained by means of the current observations for the deceleration parameter, which implies that this generalized f (R ) model with coupling in 5D spacetime can account for the present accelerated expansion of the universe.
收稿日期: 2013-03-28
出版日期: 2013-05-31
:
98.80.-k
(Cosmology)
98.80.Jk
(Mathematical and relativistic aspects of cosmology)
04.20.-q
(Classical general relativity)
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2013, Vol. 30 
