Unification of electromagnetism and gravitation: The equations of electrodynamics derived from the Riemann tensor in general relativity |
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Authors: | M W Evans |
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Institution: | (1) Department of Physics and Astronomy, York University, 4700 Keele Street, M3J 1P3 Toronto, Ontario, Canada;(2) 50 Rhyddwen Road, SA6 5RA Craigcefnparc, Swansea, Wales, United Kingdom |
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Abstract: | The equations of free-space electrodynamics are derived directly from the Riemann curvature tensor and the Bianchi identity of general relativity by contracting on two indices to give a novel antisymmetric Ricci tensor. Within a factore/h, this is the field-strength tensor G![mgr](/content/722n254v58242587/xxlarge956.gif) of free-space electrodynamics. The Bianchi identity for G![mgr](/content/722n254v58242587/xxlarge956.gif) describes free-space electrodynamics in a manner analogous to, but more general than, Maxwell's equations for electrodynamics, the critical difference being the existence in general and special relativity of the Evans-Vigier fieldB
(3). |
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Keywords: | electrodynamics gravitation unification B
(3) field Ricci tensor |
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