Speaker
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 $H_0 = 68.008^{+0.087}_{-0.079}$ km s$^{-1}$ Mpc$^{-1}$, $q = -0.105^{+0.009}_{-0.011}$, $H_0 = 67.989^{+0.096}_{-0.102}$ km s$^{-1}$ Mpc$^{-1}$, $q = -0.107^{+0.010}_{-0.010}$, $H_0 = 68.020^{+0.098}_{-0.108}$ km s$^{-1}$ Mpc$^{-1}$, $q = -0.110^{+0.009}_{-0.010}$, $H_0 = 68.016^{+0.097}_{-0.096}$ km s$^{-1}$ Mpc$^{-1}$, $q = -0.109^{+0.010}_{-0.011}$, $H_0 = 68.010^{+0.094}_{-0.100}$ 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 $\Lambda CDM$ 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.
| thesureshparekh@gmail.com | |
| Affiliation | Savitribai Phule Pune University |
