Acceleration of the universe with a simple trigonometric potential

Banerjee, Narayan; Das, Sudipta

doi:10.1007/s10714-005-0152-6

Cited by 87 publications

(57 citation statements)

References 22 publications

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“…A similar form of q has also been proposed by Banerjee and Das [29] in the case of Robertson-Walker space-time. Singh [30] investigated a cosmological model of Bianchi type-I with both deceleration and acceleration by using the special form a in equation (17).…”

Section: The Metric and Field Equationssupporting

confidence: 56%

A General Bianchi Type Viscous Fluid Cosmological Model with Both Deceleration and Acceleration

Ram¹,

Chandel²,

Verma³

2016

AdAp

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In this paper, we obtain an anisotropic general Bianchi type cosmological model in the presence of a bulk viscous fluid. The exact solution of Einstein's field equations is obtained by utilizing a special form of time-varying deceleration parameter that gives an early decelerating and late-time accelerating model of the universe. The physical and geometrical features of the cosmological model are discussed during the evolution of the universe. We observed that the universe accelerates in time and asymptotically tends towards a static homogeneous universe.

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Section: The Metric and Field Equationssupporting

confidence: 56%

A General Bianchi Type Viscous Fluid Cosmological Model with Both Deceleration and Acceleration

Ram¹,

Chandel²,

Verma³

2016

AdAp

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“…If we set l = 0 we get back equations (23) and (24). At earlier times the limiting behaviour of a(t) and φ(t) can be written as a(t) ∼ t and φ(t) ∼ ln(t) .…”

Section: Classical Dilaton Cosmology In the Mup Frameworkmentioning

confidence: 99%

Dilaton cosmology and the modified uncertainty principle

Majumder

2011

Phys. Rev. D

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Very recently Ali et al.(2009) proposed a new generalized uncertainty principle (or GUP) with a linear term in Plank length which is consistent with doubly special relativity and string theory. The classical and quantum effects of this generalized uncertainty principle (term as modified uncertainty principle or MUP) are investigated on the phase space of a dilatonic cosmological model with an exponential dilaton potential in a flat FRW background . Interestingly, as a consequence of MUP, we found that it is possible to get a late time acceleration for this model. For the quantum mechanical description in both commutative and MUP framework, we found the analytical solutions of the Wheeler-DeWitt equation for the early universe and compare our results. We have used an approximation method in the case of MUP.

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“…Quintessence models, among the many proposed scalar field models, are the ones endowed with a potential so that the contribution to the pressure sector, can evolve to attain an adequately large negative value, thus generating the observed cosmic acceleration [7,8]. One main drawback of these quintessence models is that most of the quintessence potentials are chosen arbitrarily and do not have a proper theoretical justification explaining their genesis.…”

Section: Introductionmentioning

confidence: 99%

A Study of Transition of the Expansion of the Universe from a Phase of Deceleration to Acceleration through a Conversion of Matter into Dark Energy in the Framework of Brans-Dicke Theory

2015

IJSR

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The present study is based on a generalized form of Brans-Dicke (BD) theory where, the dimensionless BD parameter is regarded as a function of the scalar field, which is reciprocal of the gravitational constant. The field equations have been solved by incorporating an empirical function f(t) in the expression representing the conservation of matter. This function f(t) has been chosen to account for a conversion of matter (both dark and baryonic) into some other form, possibly dark energy, which is known to be responsible for the accelerated expansion of universe. The requirement of a signature flip of the deceleration parameter (q), which is evident from other studies, sets the boundary conditions to be satisfied by the function f(t), leading to the formulation of its time dependence. A simple empirical relation was initially assumed to represent the time dependence of f(t), and the constants in this expression have been determined from these boundary conditions. The BD parameter has been found to have a negative value throughout the range of study. The dependence of BD parameter upon the scalar field has been depicted graphically. A smooth transition of the universe, from a decelerated to an accelerated phase of expansion, is found to occur due to a conversion of matter into dark energy. The gravitational constant is found to be increasing with time.

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Acceleration of the universe with a simple trigonometric potential

Cited by 87 publications

References 22 publications

A General Bianchi Type Viscous Fluid Cosmological Model with Both Deceleration and Acceleration

A General Bianchi Type Viscous Fluid Cosmological Model with Both Deceleration and Acceleration

Dilaton cosmology and the modified uncertainty principle

A Study of Transition of the Expansion of the Universe from a Phase of Deceleration to Acceleration through a Conversion of Matter into Dark Energy in the Framework of Brans-Dicke Theory

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