scholarly journals Exact Solutions of Axially Symmetric Bianchi Type-I Cosmological Model in Lyra Geometry

2014 ◽  
Vol 5 (6) ◽  
pp. 01-05 ◽  
Author(s):  
A. Asgar ◽  
◽  
M. Ansari
Keyword(s):  
Cosmological Model ◽  
Exact Solutions ◽  
Bianchi Type ◽  
Lyra Geometry ◽  
Type I ◽  
Axially Symmetric ◽  
Bianchi Type I

Homothetic vector fields in a specially homogenous Bianchi type-I cosmological model in Lyra geometry

2015 ◽  
Vol 93 (11) ◽  
pp. 1397-1401 ◽  
Author(s):  
A.S. Alofi ◽  
Ragab M. Gad
Keyword(s):  
Cosmological Model ◽  
Riemannian Geometry ◽  
Vector Fields ◽  
Bianchi Type ◽  
Displacement Vector ◽  
Lyra Geometry ◽  
Type I ◽  
Bianchi Type I ◽  
Homothetic Vector ◽  
Vector Formula

In this paper, homothetic vector fields of a spatially homogenous Bianchi type-I cosmological model have been evaluated based on Lyra geometry. Further, we investigate the equation of state in cases when a displacement vector [Formula: see text] is a function of t and when it is constant. We give a comparison between the obtained results, using Lyra geometry, and those obtained previously in the context of general relativity, based on Riemannian geometry.

scholarly journals Dynamics of Bulk Viscous String Cosmological Model in f(R,G) Theory of Gravity

2021 ◽  
Vol 4 (4) ◽  
pp. 89-97
Author(s):  
Kailas R. Borgade ◽  
S. R. Bhoyar ◽  
Vineeta Basotia
Keyword(s):  
Cosmological Model ◽  
Exact Solutions ◽  
Bianchi Type ◽  
The Self ◽  
Alternative Theory ◽  
Type I ◽  
Field Equations ◽  
Bianchi Type I ◽  
Bulk Viscous ◽  
Theory Of Gravity

Existing investigations dedicated to the self-propelling investigation of dynamics of bulk viscous string in LRS Bianchi type-I cosmological model within the circumstance of alternative theory of gravity with Langrangian be the impulsive perform of Ricci scalar R and Gouss-Bonnet invariant G , say f(R,G) gravity. Exact solutions of the field equations correspond to special law of variation which provides singular model. Also some physical and kinematical aspects and its behavior with the present day universe of the cosmological model have been discussed.

scholarly journals Classical Bianchi Type I Cosmology in K-Essence Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
J. Socorro ◽  
Luis O. Pimentel ◽  
Abraham Espinoza-García
Keyword(s):  
Cosmological Model ◽  
Cosmological Constant ◽  
Exact Solutions ◽  
Bianchi Type ◽  
Friedmann Equation ◽  
Matter Content ◽  
Type I ◽  
Bianchi Type I ◽  
Bianchi I ◽  
The Universe

We use one of the simplest forms of the K-essence theory and we apply it to the classical anisotropic Bianchi type I cosmological model, with a barotropic perfect fluid (p=γρ) modeling the usual matter content and with cosmological constantΛ. Classical exact solutions for anyγ≠1andΛ=0are found in closed form, whereas solutions forΛ≠0are found for particular values in the barotropic parameter. We present the possible isotropization of the cosmological model Bianchi I using the ratio between the anisotropic parameters and the volume of the universe. We also include a qualitative analysis of the analog of the Friedmann equation.

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