Bianchi identities,electromagnetic waves,and charge conservation in theP(4) theory of gravitation and electromagnetism |
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Authors: | J H Chilton K S Hammon L K Norris |
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Institution: | (1) Department of Physics, North Carolina State University, 27695-8202 Raleigh, North Carolina;(2) Department of Mathematics, North Carolina State University, 27695-8205 Raleigh, North Carolina |
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Abstract: | The Bianchi identities for theP(4)=O(1, 3) ![otimes](/content/u1752vu644886280/xxlarge8855.gif) 4* theory of gravitation and electromagnetism are decomposed into the standardO(1, 3) Riemannian Bianchi identity plus an additional 4* component. When combined with the Einstein-Maxwell affine field equations the 4* components of theP(4) Bianchi identities imply conservation of magnetic charge and the wave equation for the Maxwell field strength tensor. These results are analyzed in light of the special geometrical postulates of theP(4) theory. We show that our development is the analog of the manner in which the Riemannian Bianchi identities, when combined with Einstein's field equations, imply conservation of stress-energy-momentum and the wave equation for the LanczosH-tensor. |
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