### Curvature and the Electromagnetic Field

#### Abstract

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

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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.

Wikipedia contributors. (2020, December 13). Classical unified field theories. In Wikipedia, The Free Encyclopedia. Retrieved 00:57, March 3, 2021, from https://en.wikipedia.org/w/index.php?title=Classical_unified_field_theories&oldid=993884054.

Hermann Weyl, Space-Time-Matter (translation by Henry L. Brose, Dover Publications, Inc., New York, 1952).

Erwin SchrÃ¶dinger, Space-Time Structure (Cambridge University Press, 1950, reprinted 1994).

Paul Adrien Maurice Dirac, General Theory of Relativity (Wiley, New York, 1975), Chap. 11, p20-21.

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

Richard E. Moss, Advanced Molecular Quantum Mechanics (Chapman and Hall, London, 1973), Appendix A, p265-269.

Paul Adrien Maurice Dirac, General Theory of Relativity (Wiley, New York, 1975), Eq. (23.12), p43.

Richard E. Moss, Advanced Molecular Quantum Mechanics (Chapman and Hall, London, 1973) Eq. (5.55), p75.

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

Wikipedia contributors. (2021, March 6). Einstein field equations. In Wikipedia, The Free Encyclopedia. Retrieved 15:53, March 20, 2021, from https://en.wikipedia.org/w/index.php?title=Einstein_field_equations&oldid=1010723186.

Wikipedia contributors. (2021, February 11). Electromagnetic stressâ€“energy tensor. In Wikipedia, The Free Encyclopedia. Retrieved 15:39, March 20, 2021, from https://en.wikipedia.org/w/index.php?title=Electromagnetic_stress%E2%80%93energy_tensor&oldid=1006108690.

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