English

The Equivalence Principle as a Noether Symmetry

General Relativity and Quantum Cosmology 2024-06-21 v3 High Energy Physics - Theory

Abstract

The Equivalence Principle is considered in the framework of metric-affine gravity. We show that it naturally emerges as a Noether symmetry starting from a general non-metric theory. In particular, we discuss the Einstein Equivalence Principle and the Strong Equivalence Principle showing their relations with the non-metricity tensor. Possible violations are also discussed pointing out the role of non-metricity in this debate.

Keywords

Cite

@article{arxiv.2401.09737,
  title  = {The Equivalence Principle as a Noether Symmetry},
  author = {Salvatore Capozziello and Carmen Ferrara},
  journal= {arXiv preprint arXiv:2401.09737},
  year   = {2024}
}

Comments

10 pages, to appear in International Journal of Geometric Methods in Modern Physics

R2 v1 2026-06-28T14:20:02.590Z