Bianchi type-III universe with perfect fluid

Tiwari, R. K.

doi:10.1007/s10509-008-9944-y

Cited by 4 publications

(5 citation statements)

References 16 publications

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“…Using the evolution equations (29)(30)(31) for the exponential volumetric expansion (33), we obtain the scale factors as follows:…”

Section: The Models For Exponential Volumetric Expansionmentioning

confidence: 99%

“…This study based on the above idea is carried out in the framework of Bianchi type VI spacetime, which can be reduced to the Bianchi types VI 0 , III with anisotropic spatial curvature and types V, I with isotropic spatial curvature. Compared the Bianchi types I [23,27] and V [28], Bianchi types III [25,29,30,31] and VI 0 [24,32,33,34,35,36] spacetimes have been studied rarely in literature of general relativistic cosmology. The basic reason being that these spacetimes do not cover RW spacetimes.…”

Section: Introductionmentioning

confidence: 99%

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Some Anisotropic Universes in the Presence of Imperfect Fluid Coupling with Spatial Curvature

Akarsu

Kilinç

2011

Int J Theor Phys

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We consider Bianchi VI spacetime, which also can be reduced to Bianchi types VI 0 -V-III-I. We initially consider the most general form of the energy-momentum tensor which yields anisotropic stress and heat flow. We then derive an energy-momentum tensor that couples with the spatial curvature in a way so as to cancel out the terms that arise due to the spatial curvature in the evolution equations of the Einstein field equations. We obtain exact solutions for the universes indefinitely expanding with constant mean deceleration parameter. The solutions are beriefly discussed for each Bianchi type. The dynamics of the models and fluid are examined briefly, and the models that can approach to isotropy are determined. We conclude that even if the observed universe is almost isotropic, this does not necessarily imply the isotropy of the fluid (e.g., dark energy) affecting the evolution of the universe within the context of general relativity.

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“…Using the evolution equations (29)(30)(31) for the exponential volumetric expansion (33), we obtain the scale factors as follows:…”

Section: The Models For Exponential Volumetric Expansionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Some Anisotropic Universes in the Presence of Imperfect Fluid Coupling with Spatial Curvature

Akarsu

Kilinç

2011

Int J Theor Phys

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“…Singh et al [54] have investigated a model with variable G and Λ in the presence of perfect fluid by assuming a conservation law for the energy-momentum tensor. Recently, Tiwari [55] has studied a model in the presence of perfect fluid and a time dependent Λ with constant deceleration parameter. Bali & Tinker [56] have investigated a model in the presence of bulk viscous barotropic fluid with variable G and Λ.…”

Section: Introductionmentioning

confidence: 99%

Bianchi type III models with anisotropic dark energy

2009

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The general form of the anisotropy parameter of the expansion for Bianchi type-III metric is obtained in the presence of a single diagonal imperfect fluid with a dynamically anisotropic equation of state parameter and a dynamical energy density in general relativity. A special law is assumed for the anisotropy of the fluid which reduces the anisotropy parameter of the expansion to a simple form. The exact solutions of the Einstein field equations, under the assumption on the anisotropy of the fluid, are obtained for exponential and power-law volumetric expansions. The isotropy of the fluid, space and expansion are examined. It is observed that the universe can approach to isotropy monotonically even in the presence of an anisotropic fluid. The anisotropy of the fluid also isotropizes at later times for accelerating models and evolves into the well-known cosmological constant in the model for exponential volumetric expansion.Comment: 13 page

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“…Singh et al [34] have investigated a model with variable G and Λ in presence of perfect fluid by assuming a conservation law of energy-momentum tensor. Recently, Tiwari [35] has studied a model in presence of perfect fluid and time dependent Λ with constant deceleration parameter. Bali and Tinkar [36] have investigated a model in the presence of bulk viscous borotropic fluid with variable G and Λ.…”

Section: Introductionmentioning

confidence: 99%

Bianchi Type III Anisotropic Dark Energy Models with Constant Deceleration Parameter

Yadav

2010

Int J Theor Phys

103

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Bianchi type-III universe with perfect fluid

Abstract: We study Bianchi type-III cosmological model filled with perfect fluid in the presence of cosmological constant (t). The Hubble law utilised yields a constant value of deceleration parameter. Physical and Kinematical properties of the model have also studied.

Cited by 4 publications

References 16 publications

Some Anisotropic Universes in the Presence of Imperfect Fluid Coupling with Spatial Curvature

Some Anisotropic Universes in the Presence of Imperfect Fluid Coupling with Spatial Curvature

Bianchi type III models with anisotropic dark energy

Bianchi Type III Anisotropic Dark Energy Models with Constant Deceleration Parameter

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