Modified power law cosmology: theoretical scenarios and observational constraints*

This research paper examines a cosmological model in flat space-time via gravity, where R and G are the Ricci scalar and Gauss-Bonnet invariant, respectively. Our model assumes that is an exponential function of G combined with a linear combination of R . We scrutinize the observational limitations under a power law cosmology that relies on two parameters, the Hubble constant ( ) and the deceleration parameter ( q ) utilizing the 57-point data, 8-point BAO data, 1701-point Pantheon+ data, joint data of + Pantheon, and joint data of + BAO + Pantheon+. The outcomes for and q are realistic within observational ranges. We also address energy conditions, analysis, and cosmographical parameters such as jerk, lerk, and snap. Our estimate of is remarkably consistent with various recent Planck Collaboration studies that utilize the ΛCDM model. According to our study, power law cosmology within the context of gravity provides the most comprehensive explanation of the important aspects of cosmic evolution.