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

Concircular vector fields and the Ricci solitons for the LRS Bianchi type-V spacetimes

2020 ◽  
Vol 35 (20) ◽  
pp. 2050169
Author(s):  
Amjad Mahmood ◽  
Ahmad T. Ali ◽  
Suhail Khan
Keyword(s):  
Vector Fields ◽  
Bianchi Type ◽  
Ricci Soliton ◽  
Ricci Solitons ◽  
Fluid Models ◽  
Rotationally Symmetric ◽  
Perfect Fluid Models ◽  
Metric Functions ◽  
Type V ◽  
Bianchi Type V

The purpose of this paper is to explore concircular vector fields (CVFs) of locally rotationally symmetric (LRS) Bianchi type-V spacetimes and to investigate whether these CVFs are Ricci soliton vector fields. We first obtained the concircular equations and then solved them by integrating directly. The existence of concircular symmetry imposes restrictions on the metric functions. It is shown that Bianchi type-V spacetimes admit four-, five-, six-, seven-, eight- or fifteen-dimensional CVFs. Further, we studied the Ricci soliton vector fields for all the cases where Bianchi type-V spacetimes admit CVFs. For this purpose, the obtained CVFs are substituted into Ricci soliton equations. These equations imposed further restrictions on metric functions and it is shown in each case that either all or some CVFs are also Ricci soliton vector fields. The gradient of Ricci soliton vector fields are also obtained. It is shown that the metrics that admit CVFs represent physically plausible perfect fluid models under certain conditions.

Perfect fluid models of Bianchi type‐I in modified Brans–Dicke cosmology

1984 ◽  
Vol 25 (9) ◽  
pp. 2800-2802 ◽  
Author(s):  
T. Singh ◽  
Tarkeshwar Singh
Keyword(s):  
Perfect Fluid ◽  
Bianchi Type ◽  
Type I ◽  
Fluid Models ◽  
Bianchi Type I ◽  
Perfect Fluid Models

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 Anisotropic Bianchi type V perfect fluid cosmological models in Lyra’s geometry

2010 ◽  
Vol 60 (11) ◽  
pp. 1671-1680 ◽  
Author(s):  
Shri Ram ◽  
Mohd. Zeyauddin ◽  
C.P. Singh
Keyword(s):  
Perfect Fluid ◽  
Bianchi Type ◽  
Cosmological Models ◽  
Lyra’S Geometry ◽  
Type V ◽  
Bianchi Type V

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.

Conformal Ricci collineations in LRS Bianchi type V spacetimes with perfect fluid matter

2017 ◽  
Vol 32 (24) ◽  
pp. 1750124 ◽  
Author(s):  
Fawad Khan ◽  
Tahir Hussain ◽  
Sumaira Saleem Akhtar
Keyword(s):  
Perfect Fluid ◽  
Ricci Tensor ◽  
Bianchi Type ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Ricci Collineations ◽  
Rotationally Symmetric ◽  
Fluid Matter ◽  
Type V ◽  
Bianchi Type V

Considering the perfect fluid as a source of energy–momentum tensor, we have classified locally rotationally symmetric (LRS) Bianchi type V spacetimes according to their conformal Ricci collineations (CRCs). It is shown that the LRS Bianchi type V spacetimes with perfect fluid matter admit 9- or 15-dimensional Lie algebra of CRCs when the Ricci tensor is non-degenerate, while the group of CRCs is infinite for degenerate Ricci tensor.

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