Reassessing the foundations of Metric-Affine Gravity

Fuente: arXiv
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Autori principali: François, J., Ravera, L.
Natura: Preprint
Pubblicazione: 2025
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author François, J.
Ravera, L.
author_facet François, J.
Ravera, L.
contents We reassess foundational aspects of Metric-Affine Gravity (MAG) in light of the Dressing Field Method, a tool allowing to systematically build gauge-invariant field variables. To get MAG started, one has to deal with the problem of "gauge translations". We first recall that Cartan geometry is the proper mathematical foundation for gauge theories of gravity, and that this problem never arises in that framework, which still allows to clarify the geometric status of gauge translations. Then, we show how the MAG kinematics is obtained via dressing in a technically streamlined way, which highlights that it reduces to a Cartan-geometric kinematics.
format Preprint
id arxiv_https___arxiv_org_abs_2505_05349
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Reassessing the foundations of Metric-Affine Gravity
François, J.
Ravera, L.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We reassess foundational aspects of Metric-Affine Gravity (MAG) in light of the Dressing Field Method, a tool allowing to systematically build gauge-invariant field variables. To get MAG started, one has to deal with the problem of "gauge translations". We first recall that Cartan geometry is the proper mathematical foundation for gauge theories of gravity, and that this problem never arises in that framework, which still allows to clarify the geometric status of gauge translations. Then, we show how the MAG kinematics is obtained via dressing in a technically streamlined way, which highlights that it reduces to a Cartan-geometric kinematics.
title Reassessing the foundations of Metric-Affine Gravity
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.05349