A classical field theory of gravity and electromagnetism is developed.
The starting point of the theory is the Maxwell equations which are directly
tied to the Riemann-Christoffel curvature tensor. This is done through the
derivatives of the Maxwell tensor which are equated to a vector field contracted with the
curvature tensor, i.e., . The electromagnetic portion of the theory is shown to be
equivalent to the classical Maxwell equations with the addition of a hidden
variable. Because the proposed equations describing electromagnetism and
gravity differ from the classical Maxwell-Einstein equations, their ability to
describe classical physics is shown for several situations by direct
calculation. The inclusion of antimatter and its behavior in a gravitational
field, and the possibility of particle-like solutions exhibiting quantized
charge, mass and angular momentum are discussed.
Cite this paper
Beach, R. (2014) A Classical Field Theory of Gravity and Electromagnetism. Journal of Modern Physics
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