Sharma, L.K.; Parekh, S.; Mehta, K.C.; Khlopov, M.Y.; Ray, S.; Yadav, A.K. Modified Power Law Cosmology: Theoretical Scenarios and Observational Constraints. Preprints2024, 2024020564. https://doi.org/10.20944/preprints202402.0564.v1
APA Style
Sharma, L.K., Parekh, S., Mehta, K.C., Khlopov, M.Y., Ray, S., & Yadav, A.K. (2024). Modified Power Law Cosmology: Theoretical Scenarios and Observational Constraints. Preprints. https://doi.org/10.20944/preprints202402.0564.v1
Chicago/Turabian Style
Sharma, L.K., Saibal Ray and Anil Kumar Yadav. 2024 "Modified Power Law Cosmology: Theoretical Scenarios and Observational Constraints" Preprints. https://doi.org/10.20944/preprints202402.0564.v1
Abstract
This research paper examines a cosmological model in flat space-time via $f(R,G)$ gravity where $R$ and $G$ are respectively the Ricci scalar and Gauss-Bonnet invariant. 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 $H_0$ and $q$ are realistic within observational ranges. We have also addressed Energy Conditions, $Om(z)$ analysis and cosmographical parameters like Jerk, Lerk and Snap. Our estimate of $H_0$ is remarkably consistent with various recent Planck Collaboration studies that utilize the $\Lambda$CDM model. According to our study, the power law cosmology within the context of $f(R,G)$ gravity provides the most comprehensive explanation for the important aspects of cosmic evolution.
Keywords
MCMC; cosmological parameters; Power Law; Observational constraints; Om Diagnostics; cosmography
Subject
Physical Sciences, Astronomy and Astrophysics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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