Curvature and the Electromagnetic Field

Craig William Brown

Abstract


Maxwell’s equations are derived from the curvature tensor and a vector potential.  The results are combined with Einstein’s equations.  Complete solutions to the resulting equation yield simultaneous solutions to both Einstein’s and Maxwell’s equations. This is a classical theoretical unification of electromagnetism and gravitation.


Keywords


Electromagnetism; Curvature Tensor; Maxwell’s Equations; General Relativity; Unified Field Theory

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References


Albert Einstein, Annalen der Physik, 49, (1916); translation by W. Perrett and G. B Jeffery, The Principle of Relativity, (Dover Publications, New York, 1952) pp. 111-164.

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Paul Adrien Maurice Dirac, General Theory of Relativity (Wiley, New York, 1975), Eq. (11.5), p21.

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Paul Adrien Maurice Dirac, General Theory of Relativity (Wiley, New York, 1975), Eq. (23.13), p43.

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