A class of Bianchi type VI cosmological models with electromagnetic field

Physics

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Astronomical Models, Cosmology, Electromagnetic Fields, Field Theory (Physics), Relativity, Einstein Equations, Hubble Diagram, Ideal Fluids, Kinematics, Mathematical Models, Maxwell Equation

Scientific paper

The 'parallel-propagation' solution of the Einstein-Maxwell equations found by Tariq and Tupper (1974) is generalized to represent the solution of the field equations for a perfect-fluid distribution both with and without an electromagnetic field. All the solutions admit a three-parameter group of isometries of Bianchi type VI and form a subclass of the Bianchi type VI models found by Ellis and MacCallum (1969). The perfect-fluid models in this subclass automatically satisfy the Hawking-Penrose strong energy condition, while those models which represent perfect fluid with electromagnetism have a current four-vector which is either spacelike or zero. Properties of these models are discussed and are compared with those of another subclass found by Ellis and MacCallum.

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