FRW models with particle creation in Brans-Dicke theory

Singh, C. P.

doi:10.1007/s10509-011-0957-6

Cited by 28 publications

(13 citation statements)

References 61 publications

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“…The studies on Friedmann-Robertson-Walker model in the framework of BD theory have been carried out in Refs. [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60].…”

Section: Introductionmentioning

confidence: 99%

Friedmann cosmology with decaying vacuum density in Brans–Dicke theory

Singh

Peracaula

2021

Eur. Phys. J. C

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In this paper, we study Friedmann cosmology with time-varying vacuum energy density in the context of Brans–Dicke theory. We consider an isotropic and homogeneous flat space, filled with a matter-dominated perfect fluid and a dynamical cosmological term $$\varLambda (t) $$ Λ ( t ) , obeying the equation of state of the vacuum. As the exact nature of a possible time-varying vacuum is yet to be found, we explore $$\varLambda (t)$$ Λ ( t ) given by the phenomenological law $$\varLambda (t)=\lambda +\sigma H$$ Λ ( t ) = λ + σ H , where $$\lambda $$ λ and $$\sigma $$ σ are positive constants. We solve the model and then focus on two different cases $$\varLambda _{H1}$$ Λ H 1 and $$\varLambda _{H2}$$ Λ H 2 by assuming $$\varLambda =\lambda $$ Λ = λ and $$\varLambda =\sigma H$$ Λ = σ H , respectively. Notice that $$\varLambda _{H1}$$ Λ H 1 is the analog of the standard $$\varLambda $$ Λ CDM, but within the Brans–Dicke cosmology. We find the analytical solution of the main cosmological functions such as the Hubble parameter, the scale factor, deceleration and equation of state parameters for these models. In order to test the viability of the cosmological scenarios, we perform two sets of joint observational analyses of the recent Type Ia supernova data (Pantheon), observational measurements of Hubble parameter data, Baryon acoustic oscillation/Cosmic microwave background data and Local Hubble constant for each model. For the sake of comparison, the same data analysis is performed for the $$\varLambda $$ Λ CDM model. Each model shows a transition from decelerated phase to accelerated phase and can be viewed as an effective quintessence behavior. Using the model selection criteria AIC and BIC to distinguish from existing dark energy models, we find that the Brans–Dicke analog of the $$\varLambda $$ Λ -cosmology (i.e. our model $$\varLambda _{H1}$$ Λ H 1 ) performs at a level comparable to the standard $$\varLambda $$ Λ CDM, whereas $$\varLambda _{H2}$$ Λ H 2 is less favoured.

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Section: Introductionmentioning

confidence: 99%

Friedmann cosmology with decaying vacuum density in Brans–Dicke theory

Singh

Peracaula

2021

Eur. Phys. J. C

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“…When γ = 0, i.e., Γ = 3α H 0 + 3β H (See, Ref. [31]), (17) and (19) reduce to (14) and 13of [31]. Further, In the limit α → 0, the above equation reduces to (16) in [11].…”

Section: Model With Matter Creation and Solutionmentioning

confidence: 99%

“…. (17) We have normalized the scale factor so that its present day value is one, a(t 0 ) = 1. We can study three different cases: 0 < α + β + γ < 1, α + β + γ = 1 and α + β + γ > 1.…”

Section: Model With Matter Creation and Solutionmentioning

confidence: 99%

“…The transition time can be obtained by equating to zero the second derivative of scale factor given in (17) with respect to time which is given by…”

Section: Model With Matter Creation and Solutionmentioning

confidence: 99%

“…In this context, Many authors [10][11][12][13][14][15][16][17] have discussed Friedmann-Robertson-Walker line element with matter creation cosmology and analyzed the results through the observations. It has been shown that the matter creation models are consistent with the observations.…”

Section: Introductionmentioning

confidence: 99%

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Quintessence behavior via matter creation cosmology

Singh

Kumar

2020

Eur. Phys. J. C

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We study the matter creation cosmology as an alternative theory to explain the dark energy phenomena. We discuss the matter-dominated Universe in a flat Friedmann-Robertson-Walker line element by adopting the thermodynamics of open systems, in which the matter creation irreversible processes may take place at a cosmological scale. We propose a new form of the matter creation rate, Γ = 3α H 0 + 3β H + 3γäȧ , which generalizes some of the previous models in the literature. Exact solutions of the field equations are found and discussed the evolution of the Universe. Constraints on the model parameters are obtained from Markov Chain Monte Carlo (MCMC) analysis using the Supernova distance modulus data, observational measurements of Hubble parameter, Baryon acoustic oscillation data. The trajectories of the evolution of the scale factor, deceleration parameter and equation of state parameter are plotted by using best-fit values of the parameters. It is observed that the model shows accelerating behavior and behaves quintessence like (ω > −1). The age of the Universe is obtained which is in good agreement with ΛCDM model. We examine the model using two independent diagnostic parameters, namely statefinder and Om. We apply Akaike information criterion (AI C) and Bayesian information criterion (B I C) to discriminate the model based on the penalization associated to the number of parameters. The analysis shows that the model has close resemblance to the ΛC DM cosmology. We also discuss the thermodynamics of the model and find that the model satisfies the generalized second law of thermodynamics with certain constraints.

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Non-existence of Brans-Dicke theory in higher dimensional FRW universe

Çag̃lar

Aygün

2016

Astrophys Space Sci

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FRW models with particle creation in Brans-Dicke theory

Cited by 28 publications

References 61 publications

Friedmann cosmology with decaying vacuum density in Brans–Dicke theory

Friedmann cosmology with decaying vacuum density in Brans–Dicke theory

Quintessence behavior via matter creation cosmology

Non-existence of Brans-Dicke theory in higher dimensional FRW universe

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