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Poincaré Gauge Gravity Primer

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Modified and Quantum Gravity

Part of the book series: Lecture Notes in Physics ((LNP,volume 1017))

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Abstract

We give an introductory overview of the classical Poincaré 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 Poincaré 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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Acknowledgements

I am grateful to Friedrich Hehl for the careful reading of the manuscript and helpful comments.

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  1. Nuclear Safety Institute, Russian Academy of Sciences, Moscow, Russia

    Yuri N. Obukhov

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  1. ZARM, University of Bremen, Bremen, Germany

    Christian Pfeifer

  2. ZARM, University of Bremen, Bremen, Germany

    Claus Lämmerzahl

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Obukhov, Y.N. (2023). Poincaré Gauge Gravity Primer. In: Pfeifer, C., Lämmerzahl, C. (eds) Modified and Quantum Gravity. Lecture Notes in Physics, vol 1017. Springer, Cham. https://doi.org/10.1007/978-3-031-31520-6_3

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