Exact Solutions in Poincaré Gauge Gravity Theory

Abstract

In the framework of the gauge theory based on the Poincaré symmetry group, the gravitational field is described in terms of the coframe and the local Lorentz connection. Considered as gauge field potentials, they give rise to the corresponding field strength which are naturally identified with the torsion and the curvature on the Riemann--Cartan spacetime. We study the class of quadratic Poincaré gauge gravity models with the most general Yang--Mills type Lagrangian which contains all possible parity-even and parity-odd invariants built from the torsion and the curvature. Exact vacuum solutions of the gravitational field equations are constructed as a certain deformation of de Sitter geometry. They are black holes with nontrivial torsion.

17 pages, no figures

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Cited by in corpus (7)

• Plebański-Demiański solutions with dynamical torsion and nonmetricity fields
• Entropy in Poincaré gauge theory: Kerr-AdS solution
• Thermodynamics of Riemannian Kerr-AdS black holes in Poincaré gauge theory
• Thermodynamics of Kerr-AdS black holes in general Poincaré gauge theory
• A study on the Friedmann like Universe with Torsion using Noether Symmetry
• Entropy of Kerr--Newman--AdS black holes with torsion
• New effective theories of gravitation and their phenomenological consequences