The equivalence principle as a Noether symmetry

Salvatore Capozziello, Carmen Ferrara

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS(2024)

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摘要
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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关键词
Equivalence principle,Noether symmetries,geodesic motion,metric structure
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