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Unification of Gravitational and Electromagnetic Fields in Riemannian Geometry

2009/01/01 by Yi‐Fang Chang, Chang, Yi-Fang
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Geophysics and Gravity Measurements #Geophysics and Sensor Technology #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.0901.0201

openalex publication_date 2009/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The gravitational field and the source-free electromagnetic field can be unified preliminarily by the equations in the Riemannian geometry, both are contractions of im and ik, respectively. So it will be equivalent to the Yang gravitational equations. From this we can obtain the Lorentz equations of motion, the first system and second source-free system of Maxwell field equations. This unification can be included in the gauge theory, and the unified gauge group is GL(2,C), which is just the same as the gauge group of the Riemanian manifold.

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