Integrability Conditions for Killing-Yano Tensors and Maximally Symmetric Spaces in the Presence of Torsion

Carlos Batista

Integrability Conditions for Killing-Yano Tensors and Maximally Symmetric Spaces in the Presence of Torsion

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arxiv 1501.05029 v1 pith:CNHWHWUP submitted 2015-01-21 gr-qc hep-thmath.DG

Carlos Batista This is my paper · ORCID

classification gr-qchep-thmath.DG

keywords killing-yanotensorstorsionconditionsexistenceintegrabilitymaximallypresence

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The integrability conditions for the existence of Killing-Yano tensors or, equivalently, covariantly closed conformal Killing-Yano tensors, in the presence of torsion are worked out. As an application, all metrics and torsions compatible with the existence of a Killing-Yano tensor of order n-1 are obtained. Finally, the issue of defining a maximally symmetric space with respect to connections with torsion is addressed.

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`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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