Bianchi type IX string cosmological model in general relativity

Bali, Raj; Dave, Shuchi

doi:10.1007/s12043-001-0100-2

Cited by 50 publications

(35 citation statements)

References 11 publications

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“…Number of authors Chakraborty [1], Raj Bali and Dave [2], Raj Bali and Yadav [3] have studied Bianchi type-IX string as well as viscous fluid models in general relativity. Pradhan [4] have studied some homogeneous Bianchi type-IX viscous fluid cosmological model with varying cosmological constant.…”

Section: Introductionmentioning

confidence: 99%

Bianchi Type IX Magnetized Bulk Viscous String Cosmological Model in General Relativity

Mete¹,

Elkar²,

Deshmukh³

2017

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Abstract. In this paper we present a bulk viscous magnetized Bianchi type IX string cosmological model in general relativity. In order to find determinate solution of the investigated model, we assume the conditions :(i) Scalar expansion is proportional to shear scalar and (ii) ξθ = constant, where ξ is bulk viscosity and θ is scalar expansion. Some physical and geometrical properties of the investigated model are also discussed. Keywords:Bianchi type IX space time, bulk viscous, magnetized cosmic string. IntroductionIt is well known that Einstein's general theory of relativity has been successful in finding different models for the universe. Einstein's theory of general relativity is considered as the only successful theory of gravitation in terms of geometry which has the most beautiful structure of the theoretical physics. In recent years, Bianchi type-IX cosmological models are very popular for relativistic studies. These models are also used to examine the role of certain anisotropic sources during the formation of large scale structure as we see the universe today. Many researchers have taken keen interest in studying Bianchi Type IX universes, because familiar solutions like Robertson Walker universe with positive curvature, the de-Sitter universe, the Taub On the other hand, Bulk viscosity plays a significant role in the early evolution of the universe and contributes to the accelerated expansion phase of the universe popularly known as the inflationary phase. The effect of viscosity on the evolution of cosmological models and the role of viscosity in avoiding the initial big bang singularity have been studied by several authors [5][6]. In late nineties, two teams studying distant type Ia-supernovae (SNe-Ia) independently presented evidence of expansion [7][8] and confirmed later by cross checks from the cosmic microwave background radiation (CMBR) [9] and large scale structure (LSS) [10][11][12][13].In addition, the magnetic field has important role at the cosmological scale and is present in galactic and intergalactic space. It plays a vital role in the description of the energy distribution in the universe as it contains highly ionized matter. Strong magnetic fields can be created due to adiabatic compression in cluster of galaxies. Large scale magnetic fields give rise to anisotropies in the universe. Primordial magnetic fields of cosmological origin have been discussed by Asseo et.al [14] and Madsen [15]. Melvin [16] suggested, in the cosmological solution for dust and electromagnetic fields, that during the evolution of the universe, the matter was in highly ionized state and smoothly coupled with electromagnetic and consequently formed a neutral matter as a result of expansion of the universe. Hence, in a string dust universe the presence of magnetic fields is not unrealistic. The magnetic field has the significant role in the dynamics of the universe depending on the direction of the field lines [17][18]

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Section: Introductionmentioning

confidence: 99%

Bianchi Type IX Magnetized Bulk Viscous String Cosmological Model in General Relativity

Mete¹,

Elkar²,

Deshmukh³

2017

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“…Bali and Dave [18] have investigated Bianchi type IX string cosmological model in General Relativity. Bali and Kumawat [19] have investigated Bianchi type IX stiff fluid tilted cosmological model with bulk viscosity.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous Anisotropic Bianchi Type IX Cosmological Model For Perfect Fluid Distribution With Electromagnetic Field

Tyagi¹,

Chhajed²

2012

AJMS

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We have investigated homogeneous anisotropic Bianchi type IX cosmological model for perfect fluid distribution with electro-magnetic field. The magnetic field is due to an electric current produced along x axis thus 23 F is the only non-vanishing component of electromagnetic field tensor ij F . To get a determinate model, we have assumed the condition n a b = between metric potentials, where n is constant. The various physical and geometrical aspects of the model viz pressure, density, shear, expansion factor, electromagnetic field tensor and conformal curvature are also discussed.

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“…Lidsey et al [9] have discussed the aspects of super string cosmology with the cosmological implications of duality symmetries. Bali et al [10][11][12][13][14] have a investigated Bianchi Types I, V, IX string cosmological models in General Relativity. Wang [15][16][17][18] has investigated and discussed some cosmological models and their physical implications in some Bianchi Type space-times.…”

Section: Introductionmentioning

confidence: 99%

Some magnetized bianchi type-III massive string cosmological models in general relativity

Upadhaya¹,

Dave²

2008

Braz. J. Phys.

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Some Bianchi type III cosmological models with magnetic field for massive string are investigated. F 12 is only the non-vanishing component of electromagnetic field tensor F i j . To get a determinate solution. we have assumed that the expansion (θ) in the model is proportional to the shear (σ). This leads to C = A n where A and C are functions of time alone. A particular solution for n = 1 is discussed. The physical implications of the models, are also discussed.

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Bianchi type IX string cosmological model in general relativity

Cited by 50 publications

References 11 publications

Bianchi Type IX Magnetized Bulk Viscous String Cosmological Model in General Relativity

Bianchi Type IX Magnetized Bulk Viscous String Cosmological Model in General Relativity

Homogeneous Anisotropic Bianchi Type IX Cosmological Model For Perfect Fluid Distribution With Electromagnetic Field

Some magnetized bianchi type-III massive string cosmological models in general relativity

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