Stability analysis of the cosmological solutions with induced gravity and scalar field on the brane

Nozari, Kourosh; Rajabi, Fateme; Asadi, Kosar

doi:10.1088/0264-9381/29/17/175002

Cited by 17 publications

(12 citation statements)

References 95 publications

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“…The aim of this paper is to study the dynamics of the modified gravity theory with a non-minimal coupling between matter and geometry via a phase space analysis approach. The strategy is to rewrite Einstein's field equations for cosmological models in terms of an autonomous system of ordinary differential equations (ODE) [22][23][24][25][26][27][28][29]. The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Cosmological Dynamics of Modified Gravity With a Nonminimal Curvature-Matter Coupling

Azizi

Yaraie

2014

Int. J. Mod. Phys. D

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We perform a phase space analysis of a non-minimally coupled modified gravity theory with the Lagrangian density of the form 1 2 f 1 (R) + [1 + λf 2 (R)]Lm, where f 1 (R) and f 2 (R) are arbitrary functions of the curvature scalar R and Lm is the matter Lagrangian density. We apply the dynamical system approach to this scenario in two particular models. In the first model we assume f 1 (R) = 2R with a general form for f 2 (R) and set favorable values for effective equation of state parameter which is related to the several epochs of the cosmic evolution and study the critical points and their stability in each cosmic eras. In the second case, we allow the f 1 (R) to be an arbitrary function of R and set f 2 (R) = 2R. We find the late time attractor solution for the model and show that this model has a late time accelerating epoch and an acceptable matter era.

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Section: Introductionmentioning

confidence: 99%

Cosmological Dynamics of Modified Gravity With a Nonminimal Curvature-Matter Coupling

Azizi

Yaraie

2014

Int. J. Mod. Phys. D

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“…Eqn. (7) gives a = k 1 bc, where k 1 is the integrating constant and is considered to be unity. An over dot represents the derivative with respect to the cosmic time t.…”

Section: Mathematical Set Up With Physical Parametersmentioning

confidence: 99%

Stability analysis of two-fluid dark energy models

Mishra,

Esmaeili,

Ray

et al. 2021

Preprint

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In this paper, we have studied the stability of the cosmological models with dark energy and combination of matter fields and dark energy in an anisotropic space time. The pressure anisotropy along the spatial directions are derived and its stability in each direction has been examined. The four models presented here, show its stability on certain spatial direction. The role of matter field on the stability analysis has been obtained. The positive and negative value of cosmic string completely changed the stability behaviour of the model. The presence of a magnetic field disturbs the stability aspects of the models at least in an early epoch.

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“…For Q > 0, energy is transferred from DM to DE and for Q < 0 energy is transferred from DE to DM. For Q = 0, θ = 1, the study reduce to the case of non-interaction which had been studied in literature [42][43][44]. Furthermore, we have conservation equation for effective energy density given by…”

Section: Basic Equation Of Dgp Braneworld and Formation Of Dynamical ...mentioning

confidence: 99%

“…This study has been extended to beyond constant and exponential potentials by Leyva et al [43]. Cosmological dynamics of quintessence and phantom field with exponential potential coupled to gravity (minimal and non-minimal) in DGP brane has been studied in [44]. It is noted that in all these studies, there is no late time accelerated scaling attractors.…”

Section: Introductionmentioning

confidence: 97%

Late-time accelerated scaling attractors in DGP (Dvali-Gabadadze-Porrati) braneworld

Dutta

Khyllep²,

Syiemlieh³

2016

Eur. Phys. J. Plus

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In the evolution of late universe, the main source of matter are Dark energy and Dark matter. They are indirectly detected only through their gravitational manifestations. So the possibility of interaction with each other without violating observational restrictions is not ruled out. With this motivation, we investigate the dynamics of DGP braneworld where source of dark energy is a scalar field and it interacts with matter source. Since observation favours phantom case more, we have also studied the dynamics of interacting phantom scalar field. In non interacting DGP braneworld there are no late time accelerated scaling attractors and hence cannot alleviate Coincidence problem. In this paper, we shall show that it is possible to get late time accelerated scaling solutions. The phase space is studied by taking two categories of potentials (Exponential and Non exponential functions). The stability of critical points are examined by taking two specific interactions. The first interaction gives late time accelerated scaling solution for phantom field only under exponential potential, while for second interaction we do not get any scaling solution. Furthermore, we have shown that this scaling solution is also classically stable. *

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Stability analysis of the cosmological solutions with induced gravity and scalar field on the brane

Cited by 17 publications

References 95 publications

Cosmological Dynamics of Modified Gravity With a Nonminimal Curvature-Matter Coupling

Cosmological Dynamics of Modified Gravity With a Nonminimal Curvature-Matter Coupling

Stability analysis of two-fluid dark energy models

Late-time accelerated scaling attractors in DGP (Dvali-Gabadadze-Porrati) braneworld

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