2017
DOI: 10.1088/1475-7516/2017/01/014
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New torsion black hole solutions in Poincaré gauge theory

Abstract: We derive a new exact static and spherically symmetric vacuum solution in the framework of the Poincaré gauge field theory with dynamical massless torsion. This theory is built in such a form that allows to recover General Relativity when the first Bianchi identity of the model is fulfilled by the total curvature. The solution shows a Reissner-Nordström type geometry with a Coulomb-like curvature provided by the torsion field. It is also shown the existence of a generalized ReissnerNordström-de Sitter solution… Show more

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Cited by 46 publications
(55 citation statements)
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“…In this section we will calculate the acceleration and trajectories of electrons in a Reissner-Nordström solution obtained by two of the authors in the framework of PG field theory of gravity, with the following vacuum action [24,25]:…”
Section: Calculations Within the Reissner-nordström Geometry Induced mentioning
confidence: 99%
“…In this section we will calculate the acceleration and trajectories of electrons in a Reissner-Nordström solution obtained by two of the authors in the framework of PG field theory of gravity, with the following vacuum action [24,25]:…”
Section: Calculations Within the Reissner-nordström Geometry Induced mentioning
confidence: 99%
“…In analogy to the massless torsion case [12], we demand the condition Ψ 1 = Ψ 2 ≡ Ψ(r) to guarantee the compatibility requirement with external electric and magnetic fields, as in the standard Einstein-Maxwell framework of GR. Finally, we also require the avoidance of undesirable singularities from any solution F a bc referred to the rotated basis ϑ a = Λ a b e b given by the following vector fields:…”
Section: Space-time Symmetries and Consistency Constraintsmentioning
confidence: 99%
“…In this section, we will study a PG theory of gravity, hence it has the same geometrical background explained in section IV, with the following vacuum Lagrangian [31]:…”
Section: Singularities In Dynamical Torsion Theoriesmentioning
confidence: 99%