Poincar\'e gauge gravity primer
General Relativity and Quantum Cosmology
2022-06-20 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.2206.05205,
title = {Poincar\'e gauge gravity primer},
author = {Yuri N. Obukhov},
journal= {arXiv preprint arXiv:2206.05205},
year = {2022}
}
Comments
47 pages, Revtex, 2 figures, misprints removed, contribution to the book "Modified and Quantum Gravity - From theory to experimental searches on all scales", Springer Nature, Eds C. L\"ammerzahl and C. Pfeifer