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Paper IPM / Astronomy / 9567 |
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Abstract: | |||||||
{\bf{CONTEXT}}: In this work we propose a modified gravity action f(R)=(R^n-R^n_{0})^{1/n} with two free parameters of n and R_{0} and derive the dynamics of a universe for this action in the Palatini formalism. {\bf {AIM}}: We do a cosmological comparison of this model with observed data to find the best parameters of a model in a flat universe. {\bf{METHOD}}: To constrain the free parameters of model we use SNIa type Ia data in two sets of gold and union samples, CMB-shift parameter, baryon acoustic oscillation, gas mass fraction in cluster of galaxies, and large-scale structure data. {\bf {RESULT}}: The best fit from the observational data results in the parameters of model in the range of n=0.98^{+0.08}_{-0.08} and \Omega_M = 0.25_{+0.1}^{-0.1} with one sigma level of confidence where a standard \LambdaCDM universe resides in this range of solution.
PACS numbers: 04.50.+h, 95.36.+x, 98.80.-k
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