Formation of emergent universe in brane scenario as a consequence of particle creation

Dutta, Jibitesh; Haldar, Sourav; Chakraborty, Subenoy

doi:10.1007/s10509-015-2607-x

Cited by 8 publications

(5 citation statements)

References 60 publications

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“…In [155], the universe is considered as a nonequilibrium thermodynamical system with dissipative phenomena due to particle creation mechanism and it is shown that the EU scenario is a consequence of particle creation process. Work along this line has been carried out in the context of brane world scenarios [156] and inhomogeneous spacetimes [157]. Another possibility has been recently reported in the context of two measure theories (TMT) where the scale invariance is spontaneously broken due to the intrinsic features of the TMT dynamics.…”

Section: Discussionmentioning

confidence: 99%

Stability of the Einstein static universe in f(R, T) gravity

Shabani¹,

Ziaie²

2017

Eur. Phys. J. C

136

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The Einstein static (ES) universe has played a major role in various emergent scenarios recently proposed in order to cure the problem of the initial singularity of the standard model of cosmology. In the model we address, we study the existence and stability of an ES universe in the context of f (R, T ) modified theories of gravity. Considering specific forms of the f (R, T ) function, we seek for the existence of solutions representing ES state. Using dynamical system techniques along with numerical analysis, we find two classes of solutions: the first one is always unstable of the saddle type, while the second is always stable so that its dynamical behavior corresponds to a center equilibrium point. The importance of the second class of solutions is due to the significant role they play in constructing non-singular emergent models in which the universe could have experienced past-eternally a series of infinite oscillations about such an initial static state after which it enters, through a suitable physical mechanism, to an inflationary era. Considering specific forms for the functionality of f (R, T ), we show that this theory is capable of providing cosmological solutions which admit emergent universe (EU) scenarios. We also investigate homogeneous scalar perturbations for the mentioned models. The stability regions of the solutions are parametrized by a linear equation of state (EoS) parameter and other free parameters that will be introduced for the models. Our results suggest that modifications in f (R, T ) gravity would lead to stable solutions which are unstable in f (R) gravity model.

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Section: Discussionmentioning

confidence: 99%

Stability of the Einstein static universe in f(R, T) gravity

Shabani¹,

Ziaie²

2017

Eur. Phys. J. C

136

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“…We consider an open thermodynamical system where the number of fluid particles (N) is not conserved [57]. If we assume that there is a transformation of gravitational energy into matter-energy due to random fluctuation in curvature resulting in an additional number of particles dN, then there is an increase in the number of particles from N to N +dN, which give rise to negative supplementary pressure with the thermodynamic pressure.…”

Section: Field Equations and Solutionsmentioning

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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“…To fulfil our goal, here in this paper, we use the parameterization of Γ [60,61,62,63,64,65,66,67,68] as Γ = 3nHη, which a source term indicating the production (Γ > 0) of particles and annihilation (Γ < 0) of the particles, n refers to the particle number density and H is the Hubble parameter (HP). The constant η ∈ [0, 1].…”

Section: Field Equations and Solutionsmentioning

confidence: 99%

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

Singh

Nagpal

Pacif

2018

Int. J. Geom. Methods Mod. Phys.

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In this paper, we have studied flat Friedmann-Lemaître-Robertson-Walker (FLRW) model with modified Chaplygin gas (MCG) having equation of state p m = Aρ − B ρ γ , where 0 ≤ A ≤ 1, 0 ≤ γ ≤ 1 and B is any positive constant in f (R, T ) gravity with particle creation. We have considered a simple parametrization of the Hubble parameter H in order to solve the field equations and discussed the time evolution of different cosmological parameters for some obtained models showing unique behavior of scale factor. We have also discussed the statefinder diagnostic pair {r, s} that characterizes the evolution of obtained models and explore their stability. The physical consequences of the models and their kinematic behaviors have also been scrutinized here in some detail.

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Formation of emergent universe in brane scenario as a consequence of particle creation

Cited by 8 publications

References 60 publications

Stability of the Einstein static universe in f(R, T) gravity

Stability of the Einstein static universe in f(R, T) gravity

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

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

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