Timelike and null geodesics in the Schwarzschild space-time: Analytical solutions
General Relativity and Quantum Cosmology
2023-06-27 v1
Abstract
The theory of Schwarzschild geodesics is revisited. Using a theorem due to Weierstrass and Biermann, we derive concise formulas describing all timelike and null trajectories in terms of Weierstrass elliptic functions. The formulation given in this note uses an analogue of the so-called Mino time.
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Cite
@article{arxiv.2304.12823,
title = {Timelike and null geodesics in the Schwarzschild space-time: Analytical solutions},
author = {Adam Cieślik and Patryk Mach},
journal= {arXiv preprint arXiv:2304.12823},
year = {2023}
}
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10 pages, 0 figures