Principal tensor strikes again: Separability of vector equations with torsion

Ramiro Cayuso; Finnian Gray; David Kubizňák; Aoibheann Margalit; Renato Gomes Souza; Leander Thiele

Physics Letters B (Aug 2019)

Principal tensor strikes again: Separability of vector equations with torsion

Ramiro Cayuso,
Finnian Gray,
David Kubizňák,
Aoibheann Margalit,
Renato Gomes Souza,
Leander Thiele

Affiliations

Ramiro Cayuso: Perimeter Institute, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
Finnian Gray: Perimeter Institute, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada; Corresponding author.
David Kubizňák: Perimeter Institute, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
Aoibheann Margalit: Perimeter Institute, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
Renato Gomes Souza: Perimeter Institute, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada; ICTP South American Institute for Fundamental Research, IFT-UNESP, Sao Paulo, SP, 01140-070, Brazil
Leander Thiele: Perimeter Institute, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

Journal volume & issue: Vol. 795
pp. 650 – 656

Abstract

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Many black hole spacetimes with a 3-form field exhibit a hidden symmetry encoded in a torsion generalization of the principal Killing–Yano tensor. This tensor determines basic properties of such black holes while also underlying the separability of the Hamilton–Jacobi, Klein–Gordon, and (torsion-modified) Dirac field equations in their background. As a specific example, we consider the Chong–Cvetič–Lü–Pope black hole of D=5 minimal gauged supergravity and show that the torsion-modified vector field equations can also be separated, with the principal tensor playing a key role in the separability ansatz. For comparison, separability of the Proca field in higher-dimensional Kerr–NUT–AdS spacetimes (including new explicit formulae in odd dimensions) is also presented.

Published in Physics Letters B

ISSN: 0370-2693 (Print); 1873-2445 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/physics-letters-b/

About the journal