Investigating Cosmic Growth Rate Phenomenon in Entropy Corrected Cosmology

In the framework of Barrow and Tsallis entropy corrected cosmologies, we investigate growth of matter perturbation for zero spatial curvature Friedmann Robertson Walker metric. These entropy changes add additional parameters to the Friedmann equations, which have potential to have a major impact on expansion history and development of cosmos structure. For matter density contrast δm(z), we examine the evolution equation and examine the growth rate function f for the Barrow and Tsallis entropy corrections. We observe the effects of these entropy adjustments on the comoving number density of galaxy clusters. We compare conventional ΛCDM model with comparison graphs of matter density contrast, growth rate function and number of galaxy clusters for different values of the entropy parameters and found interesting results.