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Main Authors: Banerjee, Trishit, Mandal, Goutam, Biswas, Atreyee, Biswas, Sujay Kr.
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2308.00804
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author Banerjee, Trishit
Mandal, Goutam
Biswas, Atreyee
Biswas, Sujay Kr.
author_facet Banerjee, Trishit
Mandal, Goutam
Biswas, Atreyee
Biswas, Sujay Kr.
contents In this work, a two-fluid interacting model in a flat FLRW universe has been studied considering particle creation mechanism with a particular form of particle creation rate $Γ=Γ_0 H+\frac{Γ_1}{H}$ from different aspects. Statistical analysis with a combined data set of SNe Ia (Supernovae Type Ia) and Hubble data is performed to achieve the best-fit values of the model parameters, and the model is compatible with current observational data. We also perform a dynamical analysis of this model to get an overall qualitative description of the cosmological evolution by converting the governing equations into a system of ordinary differential equations considering a proper transformation of variables. We find some non-isolated sets of critical points, among which some usually are normally hyperbolic sets of points that describe the present acceleration of the universe dominated by dark energy mimicking cosmological constant or phantom fluid. Scaling solutions are also obtained from this analysis, and they can alleviate the coincidence problem successfully. Statefinder diagnosis is also carried out for this model to compare it with the $Λ$CDM, and any other dark energy models by finding various statefinder parameters. Finally, the thermodynamic analysis shows that the generalized second law of thermodynamics is valid in an irreversible thermodynamic context.
format Preprint
id arxiv_https___arxiv_org_abs_2308_00804
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Effects of particle creation rate in two-fluid interacting cosmologies
Banerjee, Trishit
Mandal, Goutam
Biswas, Atreyee
Biswas, Sujay Kr.
General Relativity and Quantum Cosmology
In this work, a two-fluid interacting model in a flat FLRW universe has been studied considering particle creation mechanism with a particular form of particle creation rate $Γ=Γ_0 H+\frac{Γ_1}{H}$ from different aspects. Statistical analysis with a combined data set of SNe Ia (Supernovae Type Ia) and Hubble data is performed to achieve the best-fit values of the model parameters, and the model is compatible with current observational data. We also perform a dynamical analysis of this model to get an overall qualitative description of the cosmological evolution by converting the governing equations into a system of ordinary differential equations considering a proper transformation of variables. We find some non-isolated sets of critical points, among which some usually are normally hyperbolic sets of points that describe the present acceleration of the universe dominated by dark energy mimicking cosmological constant or phantom fluid. Scaling solutions are also obtained from this analysis, and they can alleviate the coincidence problem successfully. Statefinder diagnosis is also carried out for this model to compare it with the $Λ$CDM, and any other dark energy models by finding various statefinder parameters. Finally, the thermodynamic analysis shows that the generalized second law of thermodynamics is valid in an irreversible thermodynamic context.
title Effects of particle creation rate in two-fluid interacting cosmologies
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2308.00804