PLANE-SYMMETRIC INHOMOGENEOUS VISCOUS FLUID COSMOLOGICAL MODELS WITH ELECTROMAGNETIC FIELD

2002 ◽  
Vol 11 (06) ◽  
pp. 857-868 ◽  
Author(s):  
ANIRUDH PRADHAN ◽  
V. KUMAR YADAV ◽  
N. N. SASTE
Keyword(s):  
Electromagnetic Field ◽  
Viscous Fluid ◽  
Ad Hoc ◽  
Mass Density ◽  
Viscosity Coefficient ◽  
Type Ii ◽  
Plane Symmetric ◽  
Bulk Viscous Fluid ◽  
Cylindrically Symmetric ◽  
Electromagnetic Field Tensor

We consider a magnetic cylindrically symmetric universe with a plane-symmetric inhomogeneous viscous fluid cosmological model with electromagnetic field. The viscosity coefficient of bulk viscous fluid is assumed to be a power function of mass density. To get a determinate solution, we assume the free gravitational field to be Petrov type-II non-degenerate. Without assuming any ad hoc law, we obtain a cosmological constant as a decreasing function of time. The behaviour of the electromagnetic field tensor together with some physical aspects of the model are also discussed.

scholarly journals PLANE-SYMMETRIC INHOMOGENEOUS BULK VISCOUS COSMOLOGICAL MODELS WITH VARIABLE Λ

2003 ◽  
Vol 12 (05) ◽  
pp. 941-951 ◽  
Author(s):  
ANIRUDH PRADHAN ◽  
HARE RAM PANDEY
Keyword(s):  
Cosmological Model ◽  
Viscous Fluid ◽  
Cosmological Constant ◽  
Ad Hoc ◽  
Fluid Distribution ◽  
Geometric Features ◽  
Plane Symmetric ◽  
Bulk Viscous Fluid ◽  
Variable Λ ◽  
Bulk Viscous

A plane-symmetric non-static cosmological model representing a bulk viscous fluid distribution has been obtained which is inhomogeneous and anisotropic and a particular case of which is gravitationally radiative. Without assuming any ad hoc law, we obtain a cosmological constant as a decreasing function of time. The physical and geometric features of the models are also discussed.

scholarly journals Accelerated Lyra's Cosmology Driven by Electromagnetic Field in Inhomogeneous Universe

2009 ◽  
Vol 2009 ◽  
pp. 1-20 ◽  
Author(s):  
Anirudh Pradhan ◽  
Padmini Yadav
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Displacement Vector ◽  
Fluid Distribution ◽  
Inhomogeneous Universe ◽  
Cylindrically Symmetric ◽  
Type Ia ◽  
Electromagnetic Field Tensor ◽  
Deterministic Solution ◽  
Ia Supernovae

A new class of cylindrically symmetric inhomogeneous cosmological models for perfect fluid distribution with electromagnetic field is obtained in the context of Lyra's geometry. We have obtained solutions by considering the time dependent displacement field. The source of the magnetic field is due to an electric current produced along thez-axis. OnlyF12is a nonvanishing component of electromagnetic field tensor. To get the deterministic solution, it has been assumed that the expansionθin the model is proportional to the shearσ. It has been found that the solutions are consistent with the recent observations of type Ia supernovae, and the displacement vectorβ(t)affects entropy. Physical and geometric aspects of the models are also discussed in presence and absence of magnetic field.

scholarly journals BIANCHI TYPE I ANISOTROPIC MAGNETIZED COSMOLOGICAL MODELS WITH VARYING Λ

2003 ◽  
Vol 12 (07) ◽  
pp. 1299-1314 ◽  
Author(s):  
ANIRUDH PRADHAN ◽  
OM PRAKASH PANDEY
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Bianchi Type ◽  
Mass Density ◽  
Cosmological Models ◽  
Type I ◽  
Bianchi Type I ◽  
Bulk Viscous Fluid ◽  
Varying Λ ◽  
The Magnetic Field

Bianchi type I magnetized cosmological models in the presence of a bulk viscous fluid are investigated. The source of the magnetic field is due to an electric current produced along the x-axis. The distribution consists of an electrically neutral viscous fluid with an infinite electrical conductivity. The coefficient of bulk viscosity is assumed to be a power function of mass density. The cosmological constant Λ is found to be positive and is a decreasing function of time which is supported by results from recent supernovae observations. The behaviour of the models in the presence and the absence of magnetic field are also discussed.

MAGNETIZED CYLINDRICALLY SYMMETRIC UNIVERSE WITH BULK VISCOSITY

2001 ◽  
Vol 10 (05) ◽  
pp. 741-750 ◽  
Author(s):  
INDRAJIT CHAKRABARTY ◽  
ANIRUDH PRADHAN ◽  
N. N. SASTE
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Cosmological Constant ◽  
Electric Current ◽  
Power Function ◽  
Bulk Viscosity ◽  
Degrees Of Freedom ◽  
Mass Density ◽  
Cylindrically Symmetric ◽  
The Magnetic Field

We consider a magnetic cylindrically symmetric universe with two degrees of freedom in the presence of an electrically neutral viscous fluid. The source of the magnetic field is an electric current along the x-axis. The coefficient of bulk viscosity is assumed to be a power function of the mass density. Without assuming any adhoc law, we obtain a cosmological constant as a decreasing function of time which is supported by results from recent supernovae observations.

BULK VISCOUS FRW COSMOLOGY IN LYRA GEOMETRY

2001 ◽  
Vol 10 (03) ◽  
pp. 339-349 ◽  
Author(s):  
A. PRADHAN ◽  
V. K. YADAV ◽  
INDRAJIT CHAKRABARTY
Keyword(s):  
Energy Density ◽  
Viscous Fluid ◽  
Mass Density ◽  
Lyra Geometry ◽  
Frw Cosmology ◽  
Frw Universe ◽  
Bulk Viscous Fluid ◽  
Bulk Viscous ◽  
Lyra’S Geometry ◽  
The Universe

We have studied an isotropic homogeneous FRW universe in the presence of a bulk viscous fluid within the framework of Lyra's geometry. We have obtained exact solutions of the Sen equations assuming the deceleration parameter to be constant. The coefficient of bulk viscosity has been assumed to be a power function of the mass density. With this assumption, we have considered the behavior of the displacement field and the energy density for both power-law and exponential expansions of the universe. We show that our models are generalised and we obtain the results of previous works by considering k=0 and k=-1.

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