A Classical Field Theory of Gravity and Electromagnetism

Raymond J. Beach

Lawrence Livermore National Laboratory, Livermore, USA.

DOI: 10.4236/jmp.2014.510096                

Abstract

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.

Keywords

Classical Field Theory, Gravitation and Electromagnetism, General Relativity, Antimatter, Antimatter Gravity, Hidden Variable Theories, Riemann Geometry

Conflicts of Interest

The authors declare no conflicts of interest.

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