Hamiltonian formalism of homogeneous cosmological model of type IX with electromagnetic field

1976 ◽  
Vol 27 (2) ◽  
pp. 414-418 ◽  
Author(s):  
O. I. Bogoyavlenskii
Keyword(s):  
Electromagnetic Field ◽  
Cosmological Model ◽  
Hamiltonian Formalism ◽  
Homogeneous Cosmological Model

scholarly journals Interaction of Bianchi type-I anisotropic cloud string cosmological model universe with electromagnetic field

2020 ◽  
Vol 17 (09) ◽  
pp. 2050133
Author(s):  
Kangujam Priyokumar Singh ◽  
Mahbubur Rahman Mollah ◽  
Rajshekhar Roy Baruah ◽  
Meher Daimary
Keyword(s):  
Electromagnetic Field ◽  
Cosmological Model ◽  
Bianchi Type ◽  
Physical Parameters ◽  
Type I ◽  
Field Equations ◽  
Rest Energy ◽  
Model Universe ◽  
Bianchi Type I ◽  
String Cosmological Model

Here, we have investigated the interaction of Bianchi type-I anisotropic cloud string cosmological model universe with electromagnetic field in the context of general relativity. In this paper, the energy-momentum tensor is assumed to be the sum of the rest energy density and string tension density with an electromagnetic field. To obtain exact solution of Einstein’s field equations, we take the average scale factor as an integrating function of time. Also, the dynamics and significance of various physical parameters of model are discussed.

The motion of a charged black hole in an electromagnetic field

1980 ◽  
Vol 371 (1746) ◽  
pp. 429-438 ◽  
Keyword(s):  
Exact Solution ◽  
Black Hole ◽  
Electromagnetic Field ◽  
Approximate Solution ◽  
Electric Field ◽  
Hamiltonian Formalism ◽  
Charged Black Hole ◽  
Uniform Electric Field ◽  
Inertial Observer ◽  
Gravitational Perturbations

The motion of a charged black hole in a weak, asymptotically uniform electric field is analysed by using the Hamiltonian formalism for coupled electromagnetic and gravitational perturbations of the Reissner-Nordstrom space-time. The hole is shown to accelerate with respect to a distant inertial observer according to Newton’s law. The relation of the approximate solution obtained to the exact solution of Ernst, representing the charged C-metric without nodal singularity, is then clarified.

Bianchi type VI cosmological model with electromagnetic field in Lyra geometry

2016 ◽  
Vol 94 (10) ◽  
pp. 992-1000 ◽  
Author(s):  
M. Abdel-Megied ◽  
E.A. Hegazy
Keyword(s):  
Electromagnetic Field ◽  
Cosmological Model ◽  
Bianchi Type ◽  
Lyra Geometry ◽  
Geometrical Properties ◽  
Special Cases ◽  
Type V ◽  
Tensor Formula ◽  
Shear Tensor ◽  
Bianchi Type V

Bianchi type VI cosmological model in the presence of electromagnetic field with variable magnetic permeability in the framework of Lyra geometry is presented. An exact solution is introduced by considering that the eigenvalue [Formula: see text] of the shear tensor [Formula: see text] is proportional to the scalar expansion Θ of the model, that is, C = (AB)L, where A, B, and C are the coefficients of the metric and L is a constant. Bianchi type V, III, and I cosmological models are given as special cases of Bianchi type VI. Physical and geometrical properties of the models are discussed.

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