Poincare gauge gravity: Selected topics
By Yuri N. Obukhov. 2006
152 citations recorded by the source corpus.
In the gauge theory of gravity based on the Poincare group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy–momentum) and the spin are treated on an equal footing as the sources of the gravitational field. The corresponding spacetime manifold carries the Riemann–Cartan geometric structure with the nontrivial curvature and torsion. We describe some aspects of the classical Poincare gauge theory of gravity. Namely, the Lagrange–Noether formalism is presented in full generality, and the family of quadratic (in the curvature and the torsion) models is analyzed in detail. We discuss the special case of the spinless matter and demonstrate that Einstein's theory arises as a degenerate model in the class of the quadratic Poincare theories. Another central point is the overview of the so-called double duality method for constructing of the exact solutions of the classical field equations.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/05b94c3037b58bb69c248889f6f69f2c5ad6ab7d
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Citations in the corpus
- Elie Cartan's torsion in geometry and in field theory, an essay (2007, background): “ic solutions of Einstein’s theory at small distances. On the large time and space scales, the physical predictions of the Poincare´ gravity generally agree with results of the general relativity, see [31, 25, 38, 71]. The Cosserat medium in elasticity theory and the physical sources in the Poincare´”