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Quadratic Poincaré gauge theory of gravity: A comparison with the general relativity theory. (English) Zbl 0679.53069
Authors’ review: “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.”
Reviewer: E.Malec

MSC:
53B50 Applications of local differential geometry to the sciences
35Q99 Partial differential equations of mathematical physics and other areas of application
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
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