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    Universe, Vol. 5, Pages 127: Exact Solutions in Poincaré Gauge Gravity Theory (2019)
    MDPI
    In: Universe
    Details
    Publication Date: 2019
    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.
    Electronic ISSN: 2218-1997
    Topics: Physics
    Published by MDPI
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  • 2
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    Universe, Vol. 5, Pages 139: Gauge Structure of Teleparallel Gravity (2019)
    MDPI
    In: Universe
    Details
    Publication Date: 2019
    Description: During the conference Teleparallel Universes in Salamanca, we became aware of a recent paper [M. Fontanini, E. Huguet, and M. Le Delliou, Phys. Rev. D 2019, 99, 064006] in which some criticisms on the interpretation of teleparallel gravity as a gauge theory for the translation group were put forward. This triggered a discussion about the arguments on which those criticisms were based, whose output is described in the present paper. The main conclusion is that to a great extent, those arguments are incorrect, and lack mathematical and physical support.
    Electronic ISSN: 2218-1997
    Topics: Physics
    Published by MDPI
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