15 The Riemannian Geometry Corresponding to Coulomb Force
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2026/04/13
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The Riemannian Geometry Corresponding to Coulomb Force
When two opposite charges produce attraction, the spacetime curvature is positive, corresponding to a spherical spacetime in Riemannian geometry.
When two like charges produce repulsion, the spacetime curvature is negative, corresponding to a saddle-shaped spacetime.