10th International Conference on Gravitation and Cosmology: New Horizons and Singularities in Gravity (ICGC 2023)

Modified Power Law Cosmology with higher order curvature terms and observational constraints

Not scheduled

15m

IIT Guwahati

Poster Cosmology Cosmology

Speaker

Suresh Parekh (Savitribai Phule Pune University, Pune, India - 411007)

Description

This research paper examines the Ricci scalar R and the Gauss-Bonnet invariant G to characterize a cosmological model in flat space-time via $f(R,G)$ gravity. Our model assumes that $f(R,G)$ 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 - $H_0$, the Hubble constant, and $q$, the deceleration parameter, utilizing the 57-point H(z) data, 8-point BAO data, 1048-point Pantheon data, joint data of H(z) + Pantheon, and joint data of H(z) + BAO + Pantheon. The outcomes for H0 and q are $H_0={68.008}_{-0.079}^{+0.087}$ km s${}^{-1}$ Mpc${}^{-1}$, $q=-{0.105}_{-0.011}^{+0.009}$, $H_0={67.989}_{-0.102}^{+0.096}$ km s${}^{-1}$ Mpc${}^{-1}$, $q=-{0.107}_{-0.010}^{+0.010}$, $H_0={68.020}_{-0.108}^{+0.098}$ km s${}^{-1}$ Mpc${}^{-1}$, $q=-{0.110}_{-0.010}^{+0.009}$, $H_0={68.016}_{-0.096}^{+0.097}$ km s${}^{-1}$ Mpc${}^{-1}$, $q=-{0.109}_{-0.011}^{+0.010}$, $H_0={68.010}_{-0.100}^{+0.094}$ km s${}^{-1}$ Mpc${}^{-1}$, $q=-{0.108}_{-0.010}^{+0.010}$ respectively. We also address Energy Conditions, $Om(z)$ analysis, and cosmographical parameters like Jerk, Lerk, and Snap. Our estimation of $H_0$ is remarkably consistent with various recent Planck Collaboration studies that utilize the $\mathrm{\Lambda }CDM$ model. According to our research, the power law cosmology within the context of $f(R,G)$ gravity provides the most comprehensive explanation for the important aspects of cosmic evolution.