The Equivalence Principle as a Noether Symmetry

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

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Cited by in corpus (4)

• About the (in)equivalence between holonomic versus non-holonomic theories of gravity
• Symmetry and Conserved Quantities in $f(R)$-Gravity: Mei vs. Noether Approaches
• Equivalent Gravities and Equivalence Principle: Foundations and experimental implications
• The Equivalence Principle is NOT a Noether Symmetry