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Camcı, Uğur; Yavuz, Ilhami; Baysal, Hüsnü; Tarhan, İsmail; Yılmaz, İhsan

doi:10.1023/a:1002796730405

Cited by 32 publications

(35 citation statements)

References 5 publications

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“…(43) and (44), we have In subcase Λ = 0, metric (38) with expressions p, ρ, θ and σ for this model are same as that of solution (27) of Camci et al [44].…”

Section: Case (Ii): Let C =τmentioning

confidence: 99%

“…Using a generation technique (Camci et al, 2001), it is shown that the Einstein's field equations are solvable for any arbitrary cosmic scale function. Solutions for particular forms of cosmic scale functions are also obtained.…”

Section: Received XXXmentioning

confidence: 99%

“…In this section, we review the solutions obtained by Camci et al [44]. The usual energy-momentum tensor is modified by addition of a term…”

Section: Field Equations and Generation Techniquementioning

confidence: 99%

“…In this paper, in what follows, we will discuss Bianchi type V cosmological models obtained by augmenting the energymomentum tensor of a perfect fluid by a term that represents a variable cosmological constant varying with time, and later generalize the solutions of Refs. [39,44]. This paper is organized as follows: The field equations and the generation technique are presented in Section 2.…”

Section: Introductionmentioning

confidence: 99%

“…We relate three of the metric variables by solving the offdiagonal component of EFEs, and find a second integral which is used to relate the remaining two metric variables. In Section 3, for the particular form of each metric variables, some solutions are presented separately and solutions of Camci et al [44] and Ram [39] are shown to be particular cases of our solutions. Kinematical and dynamical properties of all solutions are also studied in this section.…”

Section: Introductionmentioning

confidence: 99%

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Generation of Bianchi type V cosmological models with varying Λ-term

Pradhan

Yadav²,

Yadav³

2005

Czech J Phys

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Received XXXBianchi type V perfect fluid cosmological models are investigated with cosmological term Λ varying with time. Using a generation technique (Camci et al., 2001), it is shown that the Einstein's field equations are solvable for any arbitrary cosmic scale function. Solutions for particular forms of cosmic scale functions are also obtained. The cosmological constant is found to be decreasing function of time, which is supported by results from recent type Ia supernovae observations. Some physical aspects of the models are also discussed. : 98.80.Es, PACS

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“…(43) and (44), we have In subcase Λ = 0, metric (38) with expressions p, ρ, θ and σ for this model are same as that of solution (27) of Camci et al [44].…”

Section: Case (Ii): Let C =τmentioning

confidence: 99%

Section: Received XXXmentioning

confidence: 99%

“…In this section, we review the solutions obtained by Camci et al [44]. The usual energy-momentum tensor is modified by addition of a term…”

Section: Field Equations and Generation Techniquementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Generation of Bianchi type V cosmological models with varying Λ-term

Pradhan

Yadav²,

Yadav³

2005

Czech J Phys

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Bianchi type-V cosmological model with perfect fluid using negative constant deceleration parameter in a scalar tensor theory based on Lyra Manifold

Rao

Vinutha

Santhi

2008

Astrophys Space Sci

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An exact Bianchi type-V perfect fluid cosmological model is obtained in a scalar tensor theory proposed by Sen (Z. Phys. 149:311, 1957) based on Lyra Manifold in case of β is a constant and it is shown that this cosmological model exists only in the case of Radiation Universe (ρ = 3p) if β is a function of 't' using negative constant deceleration parameter. Some physical and geometrical properties of these models are discussed.

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Bianchi type-V perfect fluid space-time models in general relativity

Singh

Ram²,

Zeyauddin³

2008

Astrophys Space Sci

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The law of variation for the generalized mean Hubble's parameter in the case of a spatially homogeneous and anisotropic Bianchi type-V space-time metric that yields a constant value of deceleration parameter, is presented. The variation for Hubble's parameter generates two types of solutions for the average scale factor one is of power-law type and second is of the exponential form. Using these two forms, Einstein's field equations for perfect fluid Bianchi type-V models are solved separately that correspond to singular and non-singular models respectively. We find that the constant value of deceleration parameter is reasonable for description of the present day universe. We also find that the universe decelerates for positive value of deceleration parameter where as it accelerates for negative one. The behaviors of observationally important parameters such as expansion scalar, mean anisotropic parameter and shear scalar are discussed. Exact expressions for look-back time, luminosity distance and event horizon versus redshift are derived and their significances are discussed in detail. It has been observed that the solutions are compatible with the results of recent observations.

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Cited by 32 publications

References 5 publications

Generation of Bianchi type V cosmological models with varying Λ-term

Generation of Bianchi type V cosmological models with varying Λ-term

Bianchi type-V cosmological model with perfect fluid using negative constant deceleration parameter in a scalar tensor theory based on Lyra Manifold

Bianchi type-V perfect fluid space-time models in general relativity

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