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Propagation Equations of Electric and Magnetic Parts of Weyl Tensor in Einstein-Cartan Theory

Authors

L. N. Katkar and A. S. Patil

Abstract

The electric part and magnetic part of the Weyl tensor with respect to the
Kerr-Newman metric in Einstein-Cartan theory of gravitation are obtained, and
their propagation equations are studied. The necessary and sufficient conditions for the electric part and the magnetic part to be propagated along the null vector field li are obtained. For particular types of free-gravitational field we tried to explore the meaning of these propagation equations with the help of NewmanPenrose, Jogia and Griffiths null tetrad formalism.

Keywords and Phrases : Kerr-Newman metric, Einstein-Cartan theory of gravitation, Electric Parts of the Weyl Tensor, Magnetic Parts of the Weyl Tensor.

Received date : November 11, 2013

Accepted date: March 26, 2014

cited by: J.T.S. Vol. 8 (2014), pp.139-158

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