BIANCHI TYPE V COSMOLOGICAL MODELS WITH PERFECT FLUID AND HEAT CONDUCTION IN LYRA'S GEOMETRY

2008 ◽  
Vol 23 (31) ◽  
pp. 4991-5005 ◽  
Author(s):  
SHRI RAM ◽  
MOHD. ZEYAUDDIN ◽  
C. P. SINGH
Keyword(s):  
Perfect Fluid ◽  
Bianchi Type ◽  
Displacement Vector ◽  
Hubble’S Parameter ◽  
Field Equations ◽  
Constant Deceleration Parameter ◽  
Displacement Vector Field ◽  
Lyra’S Geometry ◽  
Type V ◽  
Bianchi Type V

The field equations within the framework of Lyra's geometry with a time-dependent displacement vector field for a Bianchi type-V space–time filled with a perfect fluid and heat flow are presented. Two different classes of physically viable solutions are obtained by using a special law of variation for the generalized mean Hubble's parameter which correspond to singular and nonsingular models with constant deceleration parameter. These models are found to be consistent with the observations on the present day universe. Some thermodynamical relations are studied. The physical and kinematical behaviors of the models are also discussed.

scholarly journals Bianchi type-V cosmology with magnetized anisotropic dark energy

2017 ◽  
Vol 95 (3) ◽  
pp. 274-282
Author(s):  
M. Farasat Shamir ◽  
Asad Ali
Keyword(s):  
Magnetic Field ◽  
Dark Energy ◽  
Bianchi Type ◽  
Anisotropic Fluid ◽  
Physical Parameters ◽  
Anisotropic Universe ◽  
Field Equations ◽  
Constant Deceleration Parameter ◽  
Type V ◽  
Bianchi Type V

We study anisotropic universe in the presence of magnetized dark energy. Bianchi type-V cosmological model is considered for this purpose. The energy–momentum tensor consists of anisotropic fluid with uniform magnetic field of energy density ρB. Exact solutions to the field equations are obtained without using conventional assumptions like constant deceleration parameter. In particular, a general solution is obtained that further provides different classes of solutions. Only three cases have been discussed for the present analysis: linear, quadratic, and exponential. Graphical analyses of the solutions are done for all the three classes. The behavior of the model using some important physical parameters is discussed in the presence of magnetic field.

HOMOGENEOUS PERFECT FLUID IN BRANS-DICKE-BIANCHI TYPE V COSMOLOGICAL MODEL

1996 ◽  
Vol 05 (01) ◽  
pp. 65-69 ◽  
Author(s):  
SUBENOY CHAKRABORTY ◽  
GOPAL CH. NANDY
Keyword(s):  
Equation Of State ◽  
Cosmological Model ◽  
Perfect Fluid ◽  
Analytical Solutions ◽  
Bianchi Type ◽  
Field Equations ◽  
Type V ◽  
Bianchi Type V

In this paper we have studied homogeneous perfect fluid for the Bianchi type V model in the Brans-Dicke theory. The equation of state is assumed to be [Formula: see text]. Some analytical solutions to the field equations are obtained for the radiation era.

scholarly journals LRS Bianchi type V perfect fluid cosmological model in f(R, T) theory

2019 ◽  
Vol 97 (4) ◽  
pp. 443-449 ◽  
Author(s):  
A. Nath ◽  
S.K. Sahu
Keyword(s):  
Cosmological Model ◽  
Perfect Fluid ◽  
Bianchi Type ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Ricci Scalar ◽  
Field Equations ◽  
Exponential Law ◽  
Type V ◽  
Bianchi Type V

This article deals with the study of Bianchi type V cosmological model filled with perfect fluid in the context of f(R, T) gravity. R and T represent the Ricci scalar and trace of the energy–momentum tensor, respectively. The modified Einstein’s field equations are solved under the consideration of hybrid exponential law for two cases of f(R, T). The presented models are shear free.

Bianchi type-V perfect fluid models

1986 ◽  
Vol 18 (1) ◽  
pp. 79-91 ◽  
Author(s):  
B. K. Nayak ◽  
G. B. Bhuyan
Keyword(s):  
Perfect Fluid ◽  
Bianchi Type ◽  
Fluid Models ◽  
Perfect Fluid Models ◽  
Type V ◽  
Bianchi Type V

Exact Bianchi type-V perfect fluid cosmological models in Brans–Dicke theory of gravitation

2008 ◽  
Vol 315 (1-4) ◽  
pp. 211-214 ◽  
Author(s):  
V. U. M. Rao ◽  
T. Vinutha ◽  
M. Vijaya Shanthi ◽  
K. V. S. Sireesha
Keyword(s):  
Perfect Fluid ◽  
Bianchi Type ◽  
Cosmological Models ◽  
Theory Of Gravitation ◽  
Type V ◽  
Bianchi Type V

scholarly journals Homothetic Motion in a Bianchi Type –V Model in Lyra Geometry

2017 ◽  
Vol 1 (4) ◽  
Author(s):  
F. El-Sabbagh  - R. M. Gad, F. Abd.El-Bsseer, H. H. Moustafa
Keyword(s):  
Vector Field ◽  
Equation Of State ◽  
Bianchi Type ◽  
Displacement Vector ◽  
Lyra Geometry ◽  
Type I ◽  
Bianchi Type I ◽  
Homothetic Vector ◽  
Type V ◽  
Bianchi Type V

In this paper we study a homothetic vector field of a Bianchi type-V model based on Lyra geometry. The aim of this paper is to get the components of  homothetic vector field  in Lyra geometry for Bianchi type-V, compare between it and the case of  Bianchi type-I. Using ordinary method and Computer program to get the components of  the vector . The results are compatible in the two methods and get the condition that the results  tends to the case of  Bianchi type-I.  The cases when a displacement vector is a function of  t and when it is constant are considered. In both two cases we investigate the equation of state.

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