The Equivalence Principle is NOT a Noether Symmetry
General Relativity and Quantum Cosmology
2024-10-21 v1
Abstract
The connection between the Equivalence Principle and Noether's theorem was discussed in S. Capozziello and C. Ferrara, Int. J. Geom. Meth. Mod. Phys. 21, 2440014 (2024). However, it is known that the Noether symmetry condition is independent of the equations of motions as follows from Hamilton's Principle. In this paper, we critically examine the analysis presented in the aforementioned work, highlighting its flaws, and provide a detailed demonstration that there is no connection between Noether's theorem and the Equivalence Principle. Furthermore, we offer various insights on symmetry analysis to prevent the perpetuation of inaccuracies regarding Noether's work.
Keywords
Cite
@article{arxiv.2410.14568,
title = {The Equivalence Principle is NOT a Noether Symmetry},
author = {Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:2410.14568},
year = {2024}
}
Comments
8 pages, no figures, published in Eur. Phys. J. C