Bianchi identities, electromagnetic waves, and charge conservation in theP(4) theory of gravitation and electromagnetism
The Bianchi identities for theP(4)=O(1, 3) ⊗ℝ4* theory of gravitation and electromagnetism are decomposed into the standardO(1, 3) Riemannian Bianchi identity plus an additional ℝ4* component. When combined with the Einstein-Maxwell affine field equations the ℝ4* 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.
KeywordsField Theory Elementary Particle Quantum Field Theory Field Strength Wave Equation
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