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Quadratic Poincaré gauge theory of gravity: A comparison with the general relativity theory

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Abstract

The classical dynamics of the gravitational field in the Poincaré gauge theory is studied. The most general Lagrangian quadratic in curvature and torsion is considered. The relevant field equations and their solutions are analyzed in detail, with particular emphasis on the comparison of the Poincaré gauge models with the general relativity theory. We investigate correspondence between the spaces of exact solutions of these theories, both in the presence and absence of material sources, and with or without torsion. Some new exact solutions are obtained without the use of the double duality ansatz. The weak-field approximation is discussed, and gravitational radiation is considered.

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  1. Yu. N. Obukhov

    Present address: Department of Theoretical Physics, Moscow State University, 117234, Moscow, USSR

Authors and Affiliations

  1. Institute of Theoretical Physics, Warsaw University, Warsaw, Poland

    Yu. N. Obukhov

  2. Physics Department, Faculty of Mathematics, Moscow State Pedagogical Institute, 107140, Moscow, USSR

    V. N. Ponomariev & V. V. Zhytnikov

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  1. Yu. N. Obukhov
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  3. V. V. Zhytnikov
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Obukhov, Y.N., Ponomariev, V.N. & Zhytnikov, V.V. Quadratic Poincaré gauge theory of gravity: A comparison with the general relativity theory. Gen Relat Gravit 21, 1107–1142 (1989). https://doi.org/10.1007/BF00763457

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