Exact Solutions in Poincaré Gauge Gravity Theory
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 w...
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MDPI AG
2019-05-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/5/5/127 |
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| author | Yuri N. Obukhov |
| author_facet | Yuri N. Obukhov |
| author_sort | Yuri N. Obukhov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T00:51:09Z |
| format | Article |
| id | doaj.art-d1a0abae59a943959ad505d13ee2a486 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-14T00:51:09Z |
| publishDate | 2019-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-d1a0abae59a943959ad505d13ee2a4862022-12-22T02:21:48ZengMDPI AGUniverse2218-19972019-05-015512710.3390/universe5050127universe5050127Exact Solutions in Poincaré Gauge Gravity TheoryYuri N. Obukhov0Russian Academy of Sciences, Nuclear Safety Institute (IBRAE), B. Tulskaya 52, 115191 Moscow, RussiaIn 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.https://www.mdpi.com/2218-1997/5/5/127gauge gravity theoryPoincaré groupcoframeLorentz connectionodd parity |
| spellingShingle | Yuri N. Obukhov Exact Solutions in Poincaré Gauge Gravity Theory Universe gauge gravity theory Poincaré group coframe Lorentz connection odd parity |
| title | Exact Solutions in Poincaré Gauge Gravity Theory |
| title_full | Exact Solutions in Poincaré Gauge Gravity Theory |
| title_fullStr | Exact Solutions in Poincaré Gauge Gravity Theory |
| title_full_unstemmed | Exact Solutions in Poincaré Gauge Gravity Theory |
| title_short | Exact Solutions in Poincaré Gauge Gravity Theory |
| title_sort | exact solutions in poincare gauge gravity theory |
| topic | gauge gravity theory Poincaré group coframe Lorentz connection odd parity |
| url | https://www.mdpi.com/2218-1997/5/5/127 |
| work_keys_str_mv | AT yurinobukhov exactsolutionsinpoincaregaugegravitytheory |