Transformation Between the Schwarzschild Coordinates and Local Inertial Coordinates
General Physics
2024-12-12 v1
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.
Keywords
Cite
@article{arxiv.2412.07949,
title = {Transformation Between the Schwarzschild Coordinates and Local Inertial Coordinates},
author = {Frank Wang},
journal= {arXiv preprint arXiv:2412.07949},
year = {2024}
}