Constraints of f(R) gravity in Palatini approach with observational Hubble data  

作　　者：ZHAI ZhongXu LIU WenBiao 

机构地区：[1]Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2011年第8期1378-1383,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10773002 and 10875012);the Scientific Research Foundation of Beijing Normal University (Grant No. 105116)

摘　　要：We use the newly released observational H(z) data (OHD), the Cosmic Microwave Background (CMB) shift parameter, and the Baryon Acoustic Oscillation (BAO) measurements data to constrain cosmological parameters of f(R) gravity in Palatini formalism in which the f(R) form is defined as f(R) = R β/Rn. Under the assumption of a spatially flat FRW universe, we get the best fitting results of the free parameters (Ωm0, n). In the calculation, we marginalize the likelihood function over H0 by integrating the probability density P ∝ e-χ2/2 to obtain the best fitting results and the confidence regions in the Ωm0-n plane. The constraints results of (Ωm0, n) = (0.33, 0.41) by OHD only and (Ωm0, n) = (0.23, 0.08) by the combination of OHD+CMB+BAO both indicate that the universe goes through three last phases, i.e., radiation dominated, matter-dominated, and late time accelerated expansion without introduction of dark energy.We use the newly released observational H（z） data （OHD）, the Cosmic Microwave Background （CMB） shift parameter, and the Baryon Acoustic Oscillation （BAO） measurements data to constrain cosmological parameters of f（R） gravity in Palatini formalism in which the f（R） form is defined as f（R） = R β/Rn. Under the assumption of a spatially flat FRW universe, we get the best fitting results of the free parameters （Ωm0, n）. In the calculation, we marginalize the likelihood function over H0 by integrating the probability density P ∝ e-χ2/2 to obtain the best fitting results and the confidence regions in the Ωm0-n plane. The constraints results of （Ωm0, n） = （0.33, 0.41） by OHD only and （Ωm0, n） = （0.23, 0.08） by the combination of OHD＋CMB＋BAO both indicate that the universe goes through three last phases, i.e., radiation dominated, matter-dominated, and late time accelerated expansion without introduction of dark energy.

关 键 词：f（R） gravity OHD CMB BAO accelerating expansion dark energy 

分 类 号：P315.7[天文地球—地震学] P111.2[天文地球—固体地球物理学]