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Poincar\'e gauge gravity primer

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arxiv 2206.05205 v2 pith:THYDD2IW submitted 2022-06-10 gr-qc hep-th

Poincar\'e gauge gravity primer

classification gr-qc hep-th
keywords gaugegravitypoincartheoryanalysisbasiccarriesclass
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We give an introductory overview of the classical Poincar\'e gauge theory of gravity formulated on the spacetime manifold that carries the Riemann-Cartan geometry with nontrivial curvature and torsion. After discussing the basic mathematical structures at an elementary level in the framework of the standard tensor analysis, we formulate the general dynamical scheme of Poincar\'e gauge gravity for the class of Yang-Mills type models, and consider a selected number of physically interesting consequences of this theory.

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