Dynamical analysis of an interacting dark energy model in the framework of a particle creation mechanism

Biswas, Sujay Kr.; Khyllep, Wompherdeiki; Dutta, Jibitesh; Chakraborty, Subenoy

doi:10.1103/physrevd.95.103009

Cited by 19 publications

(8 citation statements)

References 150 publications

(174 reference statements)

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“…They found that only the case ξ 1 = ξ 2 = 0 is viable for having a coherent description of the different phases of the universe. Finally Biswas et al (2017) performed an extended dynamical system investigation of a model of interacting DE in the framework of particle creation, which gives rise to an effective viscous dark interaction.…”

Section: Viscous Fluidsmentioning

confidence: 99%

Dynamical systems applied to cosmology: Dark energy and modified gravity

et al. 2018

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The Nobel Prize winning confirmation in 1998 of the accelerated expansion of our Universe put into sharp focus the need of a consistent theoretical model to explain the origin of this acceleration. As a result over the past two decades there has been a huge theoretical and observational effort into improving our understanding of the Universe. The cosmological equations describing the dynamics of a homogeneous and isotropic Universe are systems of ordinary differential equations, and one of the most elegant ways these can be investigated is by casting them into the form of dynamical systems. This allows the use of powerful analytical and numerical methods to gain a quantitative understanding of the cosmological dynamics derived by the models under study. In this review we apply these techniques to cosmology. We begin with a brief introduction to dynamical systems, fixed points, linear stability theory, Lyapunov stability, centre manifold theory and more advanced topics relating to the global structure of the solutions. Using this machinery we then analyse a large number of cosmological models and show how the stability conditions allow them to be tightly constrained and even ruled out on purely theoretical grounds. We are also able to identify those models which deserve further in depth investigation through comparison with observational data. This review is a comprehensive and detailed study of dynamical systems applications to cosmological models focusing on the late-time behaviour of our Universe, and in particular on its accelerated expansion. In self contained sections we present a large number of models ranging from canonical and non-canonical scalar fields, interacting models and non-scalar field models through to modified gravity scenarios. Selected models are discussed in detail and interpreted in the context of late-time cosmology.

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Section: Viscous Fluidsmentioning

confidence: 99%

Dynamical systems applied to cosmology: Dark energy and modified gravity

et al. 2018

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“…Also, this choice is effective to alleviate the coincidence problem [78][79][80][81][82]. Now, in order to get a qualitative idea of the evolution of the universe we study the phase space analysis by considering the following dimensionless variables [30,34]:…”

Section: Energy Conservation Equations For Individual Fluid Component Arėmentioning

confidence: 99%

“…In fact, in an analysis [25] of the supernova data together with CMB and large-scale structure revealed such interaction from expansion history of the universe. In an interacting scenario, critical points (extracted from autonomous system) which are represented by the late time scaling attractor with [27][28][29][30]…”

Section: Introductionmentioning

confidence: 99%

Phase Space Analysis and Thermodynamics of Interacting Umami Chaplygin Gas in FRW Universe

Biswas

2021

Eur. Phys. J. C

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In this work interacting Umami Chaplygin gas has been studied in flat FRW model of universe in context of it’s thermodynamic and dynamical behaviour. In particular, considering Umami fluid as dark energy interacting with dark matter, irreversible thermodynamics has been studied both for apparent and event horizon as bounding horizon in two separate cases. Also the model has been investigated in purview of dynamical systems analysis by converting the cosmological evolution equations to an autonomous system of ordinary differential equations. With some restrictions on model parameter $$\omega $$ ω and coupling parameter $$\lambda $$ λ , some cosmologically interesting critical points describing late time accelerated evolution of the universe attracted by cosmological constant and accelerated scaling attractor in quintessence era have been found to alleviate coincidence problem.

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“…We will tackle the technical difficulties arising in a fourthorder gravity theory like this one by adopting the set of dimensionless variables constructed in [33] which allows to cast the dynamical equations into a system of autonomous first-order equations suited for a dynamical system analysis. Such technique constitutes a powerful mathematical tool for describing the qualitative evolution of the the cosmological model under investigation not only in modified gravity [33][34][35][36][37][38][39][40][41][42][43], but also in multi-interacting fluid models [25,[44][45][46][47][48][49][50][51], and in exact or perturbed anisotropic and inhomogeneous cos-mological models [52][53][54][55][56][57][58], just to mention a few examples. However, we will also propose a novel cosmologically transparent interpretation for those variables which was still lacking in the literature by deriving the physical restrictions they should obey to for avoiding tachyonic and ghost instabilities and connecting them to the cosmographic parameters, such as the deceleration, jerk and snap parameters which can be astrophysically constrained.…”

Section: Introductionmentioning

confidence: 99%

Cosmological evolution with quadratic gravity and nonideal fluids

Chakraborty

Gregoris

2021

Eur. Phys. J. C

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Some cosmological models based on the gravitational theory $$f(R)=R+\zeta R^2$$ f ( R ) = R + ζ R 2 , and on fluids obeying to the equations of state of Redlich–Kwong, Berthelot, and Dieterici are proposed for describing smooth transitions between different cosmic epochs. A dynamical system analysis reveals that these models contain fixed points which correspond to an inflationary, a radiation dominated and a late-time accelerating epoch, and a nonsingular bouncing solution, the latter being an asymptotic fixed point of the compactified phase space. The infinity of the compactified phase space is interpreted as a region in which the non-ideal behaviors of the previously mentioned cosmic fluids are suppressed. Physical constraints on the adopted dimensionless variables are derived by demanding the theory to be free from ghost and tachyonic instabilities, and a novel cosmological interpretation of such variables is proposed through a cosmographic analysis. The different effects of the equation of state parameters on the number of equilibrium solutions and on their stability nature are clarified. Some generic properties of these models, which are not sensitive to the particular fluid considered, are identified, while differences are critically examined by showing that the Redlich–Kwong scenario admits a second radiation-dominated epoch and a Big Rip Singularity.

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Dynamical analysis of an interacting dark energy model in the framework of a particle creation mechanism

Cited by 19 publications

References 150 publications

Dynamical systems applied to cosmology: Dark energy and modified gravity

Dynamical systems applied to cosmology: Dark energy and modified gravity

Phase Space Analysis and Thermodynamics of Interacting Umami Chaplygin Gas in FRW Universe

Cosmological evolution with quadratic gravity and nonideal fluids

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