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New torsion black hole solutions in Poincar\'e gauge theory

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arxiv 1608.00062 v3 pith:APIC67GT submitted 2016-07-30 gr-qc

classification gr-qc
keywords solutiontheorytorsioncurvaturefieldgaugepoincarreissner-nordstr
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We derive a new exact static and spherically symmetric vacuum solution in the framework of the Poincar\'e 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-Nordstr\"om type geometry with a Coulomb-like curvature provided by the torsion field. It is also shown the existence of a generalized Reissner-Nordstr\"om-de Sitter solution when additional electromagnetic fields and/or a cosmological constant are coupled to gravity.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Near-horizon geometry with torsion: Kerr-AdS black hole

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Covariant conditions are derived for a regular near-horizon limit with torsion, and a new Kerr-AdS black hole with torsion is constructed that satisfies them.

  2. `Translation invariant' black hole: autoparallels and complete integrability

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Autoparallel motion in a class of torsionful Schwarzschild spacetimes is completely integrable via four conserved quantities, and positive-energy autoparallels are repelled by the black hole.

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