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Main Authors: Chatterjee, Anirban, Panda, Akshay, Bandyopadhyay, Abhijit
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.14791
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author Chatterjee, Anirban
Panda, Akshay
Bandyopadhyay, Abhijit
author_facet Chatterjee, Anirban
Panda, Akshay
Bandyopadhyay, Abhijit
contents We investigate two classes of non-minimally coupled curvature-matter models in the FLRW universe with a perfect fluid and analyze their cosmological implications using Supernova Ia, Observed Hubble Data, and Baryon Acoustic Oscillation measurements. Non-minimal coupling is introduced via an additional term $\int d^4x \sqrt{-g} \mathcal{G}({\cal L}_{m}) f_2(R)$ in the Einstein-Hilbert action. To obtain observational constraints, we use an exponential-type fluid-pressure profile $p = p_0e^{ak}$ characterized by the dimensionless parameter $k$ and parameterize $f_2(R)$ as $R^n$ with another dimensionless parameter $n$. Two additional parameters, $α$ and $β$ in the functional form of $\mathcal{G}({\cal L}_{m})$ determine the coupling strength. We identify significant regions in the $(n, k)$-parameter space for fixed coupling strength values where non-minimally coupled models align with observed late-time cosmic evolution. Additionally, we explore and discuss features of energy transfer between the curvature and matter sectors using observational data.
format Preprint
id arxiv_https___arxiv_org_abs_2407_14791
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Observational constraints on generic models of non-minimal curvature-matter coupling
Chatterjee, Anirban
Panda, Akshay
Bandyopadhyay, Abhijit
General Relativity and Quantum Cosmology
We investigate two classes of non-minimally coupled curvature-matter models in the FLRW universe with a perfect fluid and analyze their cosmological implications using Supernova Ia, Observed Hubble Data, and Baryon Acoustic Oscillation measurements. Non-minimal coupling is introduced via an additional term $\int d^4x \sqrt{-g} \mathcal{G}({\cal L}_{m}) f_2(R)$ in the Einstein-Hilbert action. To obtain observational constraints, we use an exponential-type fluid-pressure profile $p = p_0e^{ak}$ characterized by the dimensionless parameter $k$ and parameterize $f_2(R)$ as $R^n$ with another dimensionless parameter $n$. Two additional parameters, $α$ and $β$ in the functional form of $\mathcal{G}({\cal L}_{m})$ determine the coupling strength. We identify significant regions in the $(n, k)$-parameter space for fixed coupling strength values where non-minimally coupled models align with observed late-time cosmic evolution. Additionally, we explore and discuss features of energy transfer between the curvature and matter sectors using observational data.
title Observational constraints on generic models of non-minimal curvature-matter coupling
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2407.14791