Statefinder diagnostic for modified Chaplygin gas cosmology in f(R,T) gravity with particle creation

A cosmological model with a specific form of the Hubble parameter is constructed in a flat homogeneous, and isotropic background in the framework of f (R, T ) gravity, where R is the scalar curvature and T is the trace of the stress-energy-momentum tensor. The proposed functional form of the Hubble parameter is taken in such a way that it fulfills the successful bouncing criteria to find the solution of the gravitational field equations provided the Universe is free from initial singularity. The various constraints on the parameters are involved in the functional form of the Hubble parameter which is analyzed in detail. In addition, we explore physical and geometrical consequences of the model based on the imposed constraints. Furthermore, we demonstrate the bouncing scenario which are realized in our model with some particular values of the model parameters. As a result, we find that all of the necessary conditions are satisfied for a successful bouncing model.

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“…In case of Quintom behavior of the model when the EoS parameter ω crosses over the line ω = −1 then from Eqs. (21), (22) and (23), we have 1 2φ…”

Section: Scalar Field Descriptionmentioning

confidence: 99%

Bouncing cosmology in f(R,T) gravity

et al. 2018

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“…A symbolic feature of the SFD is that the standard CDM model of cosmology is represented by the pegged point {r, s} = {1, 0}, whereas the standard matter dominated Universe, SCDM, corresponds to the fixed point {r, s} = {1, 1}. Other than the CDM and SCDM model, the SFD analysis can successfully discriminate among the several dark energy candidates such as quintessence, braneworld dark energy models, Chaplygin gas and some other interacting dark energy models by locating some particular region in the said diagram in the distinctive trajectories [28,[99][100][101].…”

Section: Statefinder Diagnosticmentioning

confidence: 99%

“…Another class of alternative ideas concerns the theory of dark fluid that unifies both DM and DE as a single phenomenon [27]. In order to understand the behavior of the Chaplygin gas in detail, one can review some excellent work published by Singh et al [28][29][30]. In addition, holographic dark energy (HDE) is also a suitable choice for DE (among other alternatives) that might be originated from the quantum fluctuations of space-time [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Analysis with observational constraints in $$ \Lambda $$ Λ -cosmology in f(R, T) gravity

et al. 2018

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An exact cosmological solution of Einstein's field equations (EFEs) is derived for a dynamical vacuum energy in f (R, T) gravity for Friedmann-Lemaitre-Robertson-Walker (FLRW) space-time. A parametrization of the Hubble parameter is used to find a deterministic solution of the EFE. The cosmological dynamics of our model is discussed in detail. We have analyzed the time evolution of the physical parameters and obtained their bounds analytically. Moreover, the behavior of these parameters are shown graphically in terms of the redshift 'z'. Our model is consistent with the formation of structure in the Universe. The role of the f (R, T) coupling constant λ is discussed in the evolution of the equation of state parameter. The statefinder and Om diagnostic analysis is used to distinguish our model with other dark energy models. The maximum likelihood analysis has been reviewed to obtain the constraints on the Hubble parameter H 0 and the model parameter n by taking into account the observational Hubble data set H (z), the Union 2.1 compilation data set SNeIa, the Baryon Acoustic Oscillation data BAO, and the joint data set H (z) + SNeIa and H (z) + SNeIa + BAO. It is demonstrated that the model is in good agreement with various observations.

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“…The pair {r, s} can differentiate between various cosmological models such as cosmological constant, brane-world model [79,80], interacting dark energy models, quintessence, and Chaplygin gas. In literature, dark energy models have been investigated by using the statefinder diagnostics [81][82][83]. The fixed point {r, s} = {1, 0} and {1, 1} corresponds to CDM and standard cold dark matter (SCDM) models [77,84] respectively and the region s < 0, r > 1 in r − s plane gives model having Chaplygin gas model-like properties.…”

Section: Statefinder Diagnosticmentioning

confidence: 99%

Study of Particle Creation with Quadratic Equation of State in Higher Derivative Theory

Singh

Lalke

Hulke³

2020

Braz J Phys

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We investigate the effect of particle creation in flat Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime under the higher derivative theory composition. The exact solution of the field equation in higher derivative theory is obtained by considering the quadratic equation of state, p = ωρ 2 − ρ and different forms of deceleration parameter. The physical acceptance and stability of the models are explored by discussing energy conditions and squared sound speed. In addition to that, the statefinder diagnostic pair {r, s} is also scrutinized to measure the deviation of considered models from cold dark matter (CDM) model.

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Statefinder diagnostic for modified Chaplygin gas cosmology in f(R,T) gravity with particle creation

Cited by 32 publications

References 77 publications

Bouncing cosmology in f(R,T) gravity

Bouncing cosmology in f(R,T) gravity

Analysis with observational constraints in $$ \Lambda $$ Λ -cosmology in f(R, T) gravity

Study of Particle Creation with Quadratic Equation of State in Higher Derivative Theory

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