Tracking quintessence: a dynamical systems study

Roy, Nandan; Banerjee, Narayan

doi:10.1007/s10714-013-1651-5

Cited by 25 publications

(26 citation statements)

References 33 publications

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“…The barotropic equation of state takes the usual values of γ j = 1/3 for a relativistic species and γ j = 0 for a non-relativistic one. We define a new set of polar coordinates in the form [15][16][17][18][19][20][21][22],…”

Section: Mathematical Backgroundmentioning

confidence: 99%

Generalized tracker quintessence models for dark energy

Ureña–López

Roy

2020

Phys. Rev. D

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We study the dynamical properties of tracker quintessence models using a general parametrisation of their corresponding potentials, and show that there is a general condition for the appearance of a tracker behavior at early times. Likewise, we determine the conditions under which the quintessence tracker models can also provide an accelerating expansion of the universe with an equation of state closer to −1. Apart from the analysis of the background dynamics, we also include linear density perturbations of the quintessence field in a consistent manner and using the same parametrisation of the potential, with which we show the influence they have on some cosmological observables. The generalized tracker models are compared to observations, and we discuss their appropriateness to ameliorate the fine-tuning of initial conditions and their consistency with the accelerated expansion of the Universe at late times.

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Section: Mathematical Backgroundmentioning

confidence: 99%

Generalized tracker quintessence models for dark energy

Ureña–López

Roy

2020

Phys. Rev. D

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“…For the dynamical analysis, we consider the spacetime which describes the restricted non-static axial symmetry avoiding the terms of reflection and rotation about the the symmetry axis. The reduced form of general axially symmetric spacetime in spherical coordinates is [43]…”

Section: Dynamical Equationsmentioning

confidence: 99%

Impact of extended Starobinsky model on evolution of anisotropic, vorticity-free axially symmetric sources

Noureen¹,

Bhatti²,

Zubair³

2015

J. Cosmol. Astropart. Phys.

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We study the implications of R n extension of Starobinsky model on dynamical instability of Vorticity-free axially symmetric gravitating body. The matter distribution is considered to be anisotropic for which modified field equations are formed in context of f (R) gravity. In order to achieve the collapse equation, we make use of the dynamical equations, extracted from linearly perturbed contracted Bianchi identities. The collapse equation carries adiabatic index Γ in terms of usual and dark source components, defining the range of stability/insatbility in Newtonian (N) and post-Newtonian (pN) eras. It is found that supersymmetric supergravity f (R) model represents the more practical substitute of higher order curvature corrections.

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“…The motivation of the present work is to look at the conditions for stability of a class of k-essence models. Although there is a lot of work on the stability of various scalar field models like quintessence [18][19][20][21] and its classes like tracker or freezing [22,23], chameleon fields [24,25] etc., not much of work on the stability of k-essence models are found in the literature. Abramo and Pinto-Neto [26] discussed the conditions for stability of those k-essence models which can cross the phantom divide (the equation of state parameter attains a value less that -1).…”

Section: Introductionmentioning

confidence: 99%

Dynamical systems analysis of a k -essence model

2019

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In the present work we investigate the stability of the k-essence models allowing upto quadratic terms of the kinetic energy. The system of field equations is written as an autonomous system in terms of dimensionless variables and the stability criteria of the equilibria have been extensively investigated. The results strongly indicate that cosmologically consistent models dynamically evolve towards the quintessence model, a stable solution with a canonical form of the dark energy. PACS numbers: 98.80.-k; 95.36.+x

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Tracking quintessence: a dynamical systems study

Cited by 25 publications

References 33 publications

Generalized tracker quintessence models for dark energy

Generalized tracker quintessence models for dark energy

Impact of extended Starobinsky model on evolution of anisotropic, vorticity-free axially symmetric sources

Dynamical systems analysis of a k -essence model

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