paper

The Equivalence Principle as a Noether Symmetry

arXiv:2401.09737 · doi:10.1142/S0219887824400140

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.

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

The Equivalence Principle as a Noether Symmetry · wovepaper