Modeling a Non-Singular Universe with Late-Time Acceleration through a Novel Inhomogeneous Barotropic Equation of State

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Autori principali: Mazumdar, Rajdeep, Gohain, Mrinnoy M., Bhuyan, Kalyan
Natura: Preprint
Pubblicazione: 2025
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author Mazumdar, Rajdeep
Gohain, Mrinnoy M.
Bhuyan, Kalyan
author_facet Mazumdar, Rajdeep
Gohain, Mrinnoy M.
Bhuyan, Kalyan
contents In this study, we investigated the effects of incorporating barotropic fluids on cosmological solutions within the general relativity (GR) framework. We proposed a modified version of the barotropic fluid with the EoS, $p=ζ_0 ρ+ζ_1 ρ\left(t-t_0\right){}^{-2 n}$, where $ζ_0$, $ζ_1$, $t_0$ and $n$ are some constants. Our goal is to explore if this type of EoS might help explain the universe's development, concentrating on the scenario where the universe bounces instead of singularities. Interestingly the generic solutions derived from our model are sufficiently adaptable to illustrate the bounce scenario, cosmic inflation and late-time dark-energy behaviour. The parameters $ζ_0$, $ζ_1$, $t_0$, and $n$ define the universe's phase in this non-singular solution. We investigated several elements of cosmic development, including as the energy density, deceleration parameter, and energy conditions, in order to validate our model. Stability analysis showed that the perturbations approach to zero as the time evolves, indicating the model is stable under scalar perturbation. Additionally, we looked at the statefinder diagnostics and Hubble flow dynamics to get more understanding of the model's dark energy and inflationary behaviour, respectively. Additionally, we conducted a study of the models' relevance to the observational datasets from BAO, DESI and Pantheon+SH0ES.
format Preprint
id arxiv_https___arxiv_org_abs_2504_16826
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modeling a Non-Singular Universe with Late-Time Acceleration through a Novel Inhomogeneous Barotropic Equation of State
Mazumdar, Rajdeep
Gohain, Mrinnoy M.
Bhuyan, Kalyan
General Relativity and Quantum Cosmology
In this study, we investigated the effects of incorporating barotropic fluids on cosmological solutions within the general relativity (GR) framework. We proposed a modified version of the barotropic fluid with the EoS, $p=ζ_0 ρ+ζ_1 ρ\left(t-t_0\right){}^{-2 n}$, where $ζ_0$, $ζ_1$, $t_0$ and $n$ are some constants. Our goal is to explore if this type of EoS might help explain the universe's development, concentrating on the scenario where the universe bounces instead of singularities. Interestingly the generic solutions derived from our model are sufficiently adaptable to illustrate the bounce scenario, cosmic inflation and late-time dark-energy behaviour. The parameters $ζ_0$, $ζ_1$, $t_0$, and $n$ define the universe's phase in this non-singular solution. We investigated several elements of cosmic development, including as the energy density, deceleration parameter, and energy conditions, in order to validate our model. Stability analysis showed that the perturbations approach to zero as the time evolves, indicating the model is stable under scalar perturbation. Additionally, we looked at the statefinder diagnostics and Hubble flow dynamics to get more understanding of the model's dark energy and inflationary behaviour, respectively. Additionally, we conducted a study of the models' relevance to the observational datasets from BAO, DESI and Pantheon+SH0ES.
title Modeling a Non-Singular Universe with Late-Time Acceleration through a Novel Inhomogeneous Barotropic Equation of State
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2504.16826