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Transformation Between the Schwarzschild Coordinates and Local Inertial Coordinates

2024/12/10 by Wang, Frank
#FOS: Physical sciences #General Physics (physics.gen-ph)

paper · doi:10.48550/arxiv.2412.07949

Abstract

We present a transformation between the Schwarzschild coordinates and local inertial coordinates, and demonstrate the effect of gravitational bending of light near a massive body in a small region. When a photon is emitted from a point near the Earth's surface with an initial horizontal direction, its parabolic trajectory would have a vertical deflection that is about three times that of a non-relativistic Newtonian particle would trace.

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