scholarly journals New Class of Magnetized Inhomogeneous Bianchi Type-I Cosmological Model with Variable Magnetic Permeability in Lyra Geometry

2013 ◽  
Vol 52 (11) ◽  
pp. 4055-4067 ◽  
Author(s):  
Ahmad T. Ali ◽  
F. Rahaman
Keyword(s):  
Cosmological Model ◽  
Magnetic Permeability ◽  
Bianchi Type ◽  
Lyra Geometry ◽  
Type I ◽  
Bianchi Type I ◽  
New Class ◽  
Variable Magnetic Permeability

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 A new class of LRS Bianchi type-I cosmological models in Lyra geometry

2004 ◽  
Vol 49 (3-4) ◽  
pp. 332-342 ◽  
Author(s):  
Anirudh Pradhan ◽  
Anil Kumar Vishwakarma
Keyword(s):  
Bianchi Type ◽  
Lyra Geometry ◽  
Cosmological Models ◽  
Type I ◽  
Bianchi Type I ◽  
New Class

scholarly journals Invariant Inhomogeneous Bianchi Type-I Cosmological Models with Electromagnetic Fields Using Lie Group Analysis in Lyra Geometry

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Ahmad T. Ali
Keyword(s):  
Electromagnetic Field ◽  
Differential Equations ◽  
Lie Group ◽  
Magnetic Permeability ◽  
Bianchi Type ◽  
Group Analysis ◽  
Type I ◽  
Lie Group Analysis ◽  
Bianchi Type I ◽  
New Class

We find a new class of invariant inhomogeneous Bianchi type-I cosmological models in electromagnetic field with variable magnetic permeability. For this, Lie group analysis method is used to identify the generators that leave the given system of nonlinear partial differential equations (NLPDEs) (Einstein field equations) invariant. With the help of canonical variables associated with these generators, the assigned system of PDEs is reduced to ordinary differential equations (ODEs) whose simple solutions provide nontrivial solutions of the original system. A new class of exact (invariant-similarity) solutions have been obtained by considering the potentials of metric and displacement field as functions of coordinatesxandt. We have assumed thatF12is only nonvanishing component of electromagnetic field tensorFij. The Maxwell equations show thatF12is the function ofxalone whereas the magnetic permeabilityμ¯is the function ofxandtboth. The physical behavior of the obtained model is discussed.

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