Bianchi Type-IX Magnetized Dark Energy Model in Saez-Ballester Theory of Gravitation

Ghate, H. R.; Sontakke, Atish S.

doi:10.4236/ijaa.2014.41017

Cited by 7 publications

(6 citation statements)

References 68 publications

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“…Katore et al [25] studied the Einstein-Rosen bulk viscous cosmological model and zero-mass scalar field in Lyra's geometry. Ghate and Sontakke [26], Asgar and Ansari [27], and Das and Sharma [28] studied the Bianchi type V cosmological models in Lyra's geometry with dark energy, in the presence of bulk viscous string; Sahu et al [29] studied the Bianchi type III cosmological model in Lyra's geometry, and Katore and Kapse [30] studied dynamics of Bianchi type VI 0 holographic dark energy models in general relativity and Lyra's geometry.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Bianchi Type V Holographic Dark Energy Models in General Relativity and Lyra’s Geometry

Gusu

Santhi

2021

Advances in High Energy Physics

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In this paper, we analyze anisotropic and homogeneous Bianchi type V spacetime in the presence of dark matter and holographic dark energy model components in the framework of general relativity and Lyra’s geometry. The solutions of differential equation fields have been obtained by considering two specific cases, namely, the expansion scalar θ in the model is proportional to the shear scalar σ and the average scale factor taken as hybrid expansion form. The solutions for field equations are obtained in general relativity and Lyra’s geometry. The energy density of dark matter in both natures was obtained and compared so that the energy density of dark matter in general relativity is slightly different from the energy density of dark matter in Lyra’s geometry. A similar behavior occurred in case of pressure and EoS parameter of holographic dark energy model in respective frameworks. Also, it is concluded that the physical parameters such as the average Hubble parameter, spatial volume, anisotropy parameter, expansion scalar, and shear scalar are the same in both frameworks. Moreover, it is observed that the gauge function β t is a decreasing function of cosmic time in Lyra’s geometry, and for late times, the gauge function β t converges to zero and Lyra’s geometry reduces to general relativity in all respects. Finally, we conclude that our models are a close resemblance to the Λ CDM cosmological model in late times and consistent with the recent observations of cosmological data.

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Section: Introductionmentioning

confidence: 99%

Analysis of Bianchi Type V Holographic Dark Energy Models in General Relativity and Lyra’s Geometry

Gusu

Santhi

2021

Advances in High Energy Physics

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“…Many authors [16][17][18][19][20][21][22][23][24][25] have studied different aspects of Bianchi type-IX cosmological models in various theories of gravitation. Recently, Bianchi type-IX DE model in Brans-Dicke theory of gravitation has been studied [26].…”

Section:   Pmentioning

confidence: 99%

Statefinder Diagnostic for Binary Mixture of Anisotropic Dark Energy and Perfect Fluid in Bianchi Type-IX Universe

Ghate¹,

Sontakke²

2013

IOSR-JM

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The new Bianchi type-IX cosmological models with binary mixture of perfect fluid and anisotropic dark energy have been studied. The unique solution of field equations is obtained by assuming that the energy conservation equation of the perfect fluid and dark energy vanishes separately together with a special law for the mean Hubble parameter (Berman, 1983) which yields a constant value of the deceleration parameter and generates two types of solutions, one is of power law type and other is of the exponential type. To have a general description of an anisotropic dark energy component in terms of its equation of state) (de  , a skewness parameters  have been introduced. The statefinder diagnostic pair (i.e.   s r, parameter) is used to characterize different phases of the universe. The various geometric and kinematic properties of the model and the behavior of the anisotropy of the dark energy have been discussed.

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“…Anisotropic Bianchi Type-III dark energy model with time dependent deceleration parameter in Saez-Ballester theory have been investigated by Rahman and Ansari (2013). The Bianchi type-IX cosmological model with variable ω has been studied by Ghate and Sontakke (2014) in the scalar tensor theory of gravitation proposed by Saez and Ballester theory in the presence and absence of magnetic field of energy density ρ b .…”

Section: Introductionmentioning

confidence: 99%

Hypersurface-homogeneous space-time with anisotropic dark energy in scalar tensor theory of gravitation

Katore

Shaikh²

2015

Astrophys Space Sci

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Bianchi Type-IX Magnetized Dark Energy Model in Saez-Ballester Theory of Gravitation

Cited by 7 publications

References 68 publications

Analysis of Bianchi Type V Holographic Dark Energy Models in General Relativity and Lyra’s Geometry

Analysis of Bianchi Type V Holographic Dark Energy Models in General Relativity and Lyra’s Geometry

Statefinder Diagnostic for Binary Mixture of Anisotropic Dark Energy and Perfect Fluid in Bianchi Type-IX Universe

Hypersurface-homogeneous space-time with anisotropic dark energy in scalar tensor theory of gravitation

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