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Open AccessArticle

Exact Solutions in Poincaré Gauge Gravity Theory

Russian Academy of Sciences, Nuclear Safety Institute (IBRAE), B. Tulskaya 52, 115191 Moscow, Russia
Universe 2019, 5(5), 127; https://doi.org/10.3390/universe5050127
Received: 21 April 2019 / Revised: 15 May 2019 / Accepted: 16 May 2019 / Published: 24 May 2019
(This article belongs to the Special Issue Selected Papers from Teleparallel Universes in Salamanca)
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. View Full-Text
Keywords: gauge gravity theory; Poincaré group; coframe; Lorentz connection; odd parity gauge gravity theory; Poincaré group; coframe; Lorentz connection; odd parity
MDPI and ACS Style

Obukhov, Y.N. Exact Solutions in Poincaré Gauge Gravity Theory. Universe 2019, 5, 127.

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