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Christoffel symbols

  • Geodesic Movement of a Charge on a Surface with Electric Field

    The movement of a charge along a surface subject to an electric fieldThe theoretical description of the movement of a particle in some curved 3D-space and the movement of it on a 2D-surface are equivalent. Both entities are described by a metric and the equation of motion is the geodesic equation. Further giving the particle a charge lets it further interact with an electric field. In this problem you can learn to derive the corresponding geodesic equation.