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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

classification gr-qchep-th
keywords gaugegravitypoincartheoryanalysisbasiccarriesclass
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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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Cited by 2 Pith papers

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

  1. A unified expansion of Einstein's gravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    A unified (s,n)-parametrized expansion of the Einstein-Hilbert action yields Galilean, Carroll, Lorentzian, and string Carroll gravity, and near-horizon black hole geometries satisfy the string Carroll equations.

  2. `Translation invariant' black hole: autoparallels and complete integrability

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Autoparallel motion in a class of torsionful Schwarzschild spacetimes is completely integrable via four conserved quantities, and positive-energy autoparallels are repelled by the black hole.

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