Some cylindrically-symmetric cosmological models in general relativity representing viscous fluid and perfect fluid with heat conduction

1988 ◽  
Vol 150 (2) ◽  
pp. 213-222 ◽  
Author(s):  
S. R. Roy ◽  
S. K. Banerjee
Keyword(s):  
General Relativity ◽  
Heat Conduction ◽  
Viscous Fluid ◽  
Perfect Fluid ◽  
Cosmological Models ◽  
Cylindrically Symmetric

scholarly journals A type of Levi–Civita solution in modified Gauss–Bonnet gravity

2014 ◽  
Vol 92 (2) ◽  
pp. 173-176 ◽  
Author(s):  
M.E. Rodrigues ◽  
M.J.S. Houndjo ◽  
D. Momeni ◽  
R. Myrzakulov
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Perfect Fluid ◽  
Cosmic String ◽  
Coupling Parameter ◽  
Vacuum Solution ◽  
Einstein Gravity ◽  
Parameter Family ◽  
Bonnet Gravity ◽  
Cylindrically Symmetric

Herein we obtain an exact solution for cylindrically symmetric modified Gauss–Bonnet gravity. This metric is a generalization of the vacuum solution of Levi–Civita in general relativity. It describes an isotropic perfect fluid one-parameter family of the gravitational configurations, which can be interpreted as the exterior metric of a cosmic string. By setting the Gauss–Bonnet coupling parameter to zero, we recover the vacuum solution in the Einstein gravity as well.

scholarly journals Bianchi Type III String Cosmological Models for Perfect Fluid Distribution in General Relativity

2010 ◽  
Author(s):  
Hassan Amirhashchi ◽  
Hishamuddin Zainuddin ◽  
Jumiah Hassan ◽  
Halimah Mohamed Kamari ◽  
A. K. Yahya ◽  
...  
Keyword(s):  
General Relativity ◽  
Perfect Fluid ◽  
Bianchi Type ◽  
Cosmological Models ◽  
Fluid Distribution ◽  
Perfect Fluid Distribution ◽  
Type Iii

TILTED BIANCHI TYPE-V BAROTROPIC FLUID COSMOLOGICAL MODELS WITH VARIABLE BULK VISCOSITY IN GENERAL RELATIVITY

2011 ◽  
Vol 26 (24) ◽  
pp. 4299-4310
Author(s):  
RAJ BALI ◽  
PRAMILA KUMAWAT ◽  
SHALINI SHARMA
Keyword(s):  
General Relativity ◽  
Heat Conduction ◽  
Bulk Viscosity ◽  
Bianchi Type ◽  
Deterministic Model ◽  
Cosmological Models ◽  
Barotropic Fluid ◽  
Type V ◽  
The Universe ◽  
Bianchi Type V

Tilted Bianchi type-V barotropic fluid cosmological models with heat conduction and variable bulk viscosity is investigated. To get the deterministic model of the universe, we have assumed two conditions: (i) A = (BC)nand (ii) ζθ = const where A, B, C are metric potentials, n is a constant, ζ the coefficient of bulk viscosity, θ the expansion in the model. The behavior of the model in presence and absence of bulk viscosity and singularities in the model are discussed. Some thermodynamic relations and physical aspects of the model related to the observation on the present day universe are also discussed.

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