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The Equivalence Principle as a Noether Symmetry

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arxiv 2401.09737 v3 pith:G2LW33CI submitted 2024-01-18 gr-qc hep-th

The Equivalence Principle as a Noether Symmetry

classification gr-qc hep-th
keywords equivalenceprinciplenoethernon-metricitysymmetryconsidereddebatediscuss
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Confronting eikonal and post-Kerr methods with numerical evolution of scalar field perturbations in spacetimes beyond Kerr

    gr-qc 2026-01 unverdicted novelty 5.0

    Numerical simulations benchmark the eikonal and post-Kerr approximations for quasinormal modes in deformed Kerr spacetimes, quantifying their errors relative to expected observational precision.

  2. Equivalence Principle violation in metric-affine gravity and finite-temperature effects

    gr-qc 2026-06 unverdicted novelty 4.0

    Metric-affine gravity formulates equivalence principle violations via non-metricity that parallel finite-temperature mass-ratio shifts, and a generalized Fermi-Walker derivative shows no orthonormal tetrad propagates ...