Transformation Between the Schwarzschild Coordinates and Local Inertial Coordinates

Frank Wang

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arXiv · 2412.07949

Transformation Between the Schwarzschild Coordinates and Local Inertial Coordinates

Frank Wang

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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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Frank Wang. 2024-12-10. Transformation Between the Schwarzschild Coordinates and Local Inertial Coordinates. https://arxiv.org/abs/2412.07949

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