The consequence of higher-order curvature-based constraints on $ f(R, L_m) $ gravity

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Main Authors: Singh, J. K., Shaily, Singh, Akanksha, Balhara, Harshna, Santos, Joao R. L.
Format: Preprint
Published: 2024
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author Singh, J. K.
Shaily
Singh, Akanksha
Balhara, Harshna
Santos, Joao R. L.
author_facet Singh, J. K.
Shaily
Singh, Akanksha
Balhara, Harshna
Santos, Joao R. L.
contents In this investigation, we perform an observational statistical analysis in the theory of $ f(R, L_m) $ gravity. The proposed theoretical model is based on the Ricci scalar's non-linear contribution. We use a distinct parameterization for the deceleration parameter and constrain the model parameters by using various observational data. To determine the best-fit model for the cosmological parameters, we use different observational datasets such as the Hubble Space Telescope, the Pantheon Supernova Survey, the Gold dataset, the Gamma-Ray Burst (GRB), and the Baryon Acoustic Oscillations (BAO). Furthermore, we study the late-time cosmic evolution of the Universe in detail and examine the implications of the constraint values on cosmological parameters. Additionally, we conduct a thorough comparison with the standard cosmological model $ Λ$CDM and other standard models obtained by Odintsov et al. \cite{Odintsov:2023cli, Odintsov:2024lid} to examine the validity of our proposed model in the low-redshift regimes. Finally, we find that the proposed model encapsulates an intriguing transition from early deceleration at high redshift to acceleration at low redshift, a quintessence dark energy scenario, and convergence towards the well-established $ Λ$CDM model in late-time Universe's evolution.
format Preprint
id arxiv_https___arxiv_org_abs_2408_16038
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The consequence of higher-order curvature-based constraints on $ f(R, L_m) $ gravity
Singh, J. K.
Shaily
Singh, Akanksha
Balhara, Harshna
Santos, Joao R. L.
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
In this investigation, we perform an observational statistical analysis in the theory of $ f(R, L_m) $ gravity. The proposed theoretical model is based on the Ricci scalar's non-linear contribution. We use a distinct parameterization for the deceleration parameter and constrain the model parameters by using various observational data. To determine the best-fit model for the cosmological parameters, we use different observational datasets such as the Hubble Space Telescope, the Pantheon Supernova Survey, the Gold dataset, the Gamma-Ray Burst (GRB), and the Baryon Acoustic Oscillations (BAO). Furthermore, we study the late-time cosmic evolution of the Universe in detail and examine the implications of the constraint values on cosmological parameters. Additionally, we conduct a thorough comparison with the standard cosmological model $ Λ$CDM and other standard models obtained by Odintsov et al. \cite{Odintsov:2023cli, Odintsov:2024lid} to examine the validity of our proposed model in the low-redshift regimes. Finally, we find that the proposed model encapsulates an intriguing transition from early deceleration at high redshift to acceleration at low redshift, a quintessence dark energy scenario, and convergence towards the well-established $ Λ$CDM model in late-time Universe's evolution.
title The consequence of higher-order curvature-based constraints on $ f(R, L_m) $ gravity
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2408.16038