A Reconstruction Scheme for a Modified Gravity Model in the Perturbation Level and Checking its Compatibility in the Primordial Nucleosysthesis and CMB Constraints

Modified theories of gravity, an approach alternative to the theories of dark energy (DE), have gained considerable attention in recent years to describe the late time acceleration of the expanding universe that was observationally established by Riess et al. [1]of the high-redshift supernovae search team and Perlmutter et al. [2]of the supernovae cosmology project through accumulation of observational data from the distant type Ia Supernovae. The discovery of [1-2]has been further established by other observational studies including more detailed studies of supernovae and independent evidence from clusters of galaxies, large-scale structure (LSS) and the cosmic microwave background (CMB).