2012
DOI: 10.1088/0264-9381/29/17/175002
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Stability analysis of the cosmological solutions with induced gravity and scalar field on the brane

Abstract: We study cosmological dynamics and phase space of a scalar field localized on the DGP brane. We consider both the minimally and nonminimally coupled scalar quintessence and phantom fields on the brane. In the nonminimal case, the scalar field couples with induced gravity on the brane. We present a detailed analysis of the critical points, their stability and late-time cosmological viability of the solutions in the phase space of the model.

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Cited by 17 publications
(12 citation statements)
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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%
“…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%
“…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%
“…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%