Poincar\'e gauge invariance of general relativity and Einstein-Cartan theory
Guillermo D'Olivo, Miguel Socolovsky
TL;DR
This paper provides a straightforward proof demonstrating the Poincaré gauge invariance of both general relativity and Einstein-Cartan theory within the framework of affine frame bundles.
Contribution
It offers a simple, clear proof of gauge invariance for these theories, clarifying their geometric structure and symmetry properties.
Findings
Proof of Poincaré gauge invariance for general relativity
Proof of Poincaré gauge invariance for Einstein-Cartan theory
Enhanced understanding of the geometric foundations of these theories
Abstract
We present a simple proof of the Poincar\'e gauge invariance of general relativity and Einstein-Cartan theory, in the context of the corresponding bundle of affine frames.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Advanced Differential Geometry Research