Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation
arXiv:gr-qc/9610037 · doi:10.1063/1.532140
Abstract
By using conformal Killing-Yano tensors, and their generalisations, we obtain scalar potentials for both the source-free Maxwell and massless Dirac equations. For each of these equations we construct, from conformal Killing-Yano tensors, symmetry operators that map any solution to another.
35 pages, plain TeX
Cited by in corpus (28)
- Black holes, hidden symmetries, and complete integrability
- `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
- Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
- Dirac symmetry operators from conformal Killing-Yano tensors
- A time-splitting spectral scheme for the Maxwell-Dirac system
- On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
- Generalized hidden symmetries and the Kerr-Sen black hole
- Conformal Yano-Killing tensor for the Kerr metric and conserved quantities
- Killing-Yano tensors and some applications
- CYK Tensors, Maxwell Field and Conserved Quantities for Spin-2 Field
- Semiclassical Asymptotics for the Maxwell - Dirac System
- First-order symmetries of Dirac equation in curved background: a unified dynamical symmetry condition
- Conformal Killing spinors and special geometric structures in Lorentzian geometry - a survey
- Solutions of Penrose's Equation
- A geometric description of Maxwell field in a Kerr spacetime
- Integrability Conditions for Killing-Yano Tensors and Conformal Killing-Yano Tensors
- Basic Gravitational Currents and Killing-Yano Forms
- Hertz potentials and asymptotic properties of massless fields
- Killing-Yano Tensors of Order n-1
- On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime
- Spin raising and lowering operators for Rarita-Schwinger fields
- Asymptotic conformal Yano-Killing tensors for asymptotic anti-de Sitter spacetimes and conserved quantities
- Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime
- Effective connections and fields associated with shear-free null congruences
- Harmonic spinors from twistors and potential forms
- Hidden Symmetries and Black Holes
- Killing-Yano Forms of a Class of Spherically Symmetric Space-Times II: A Unified Generation of Higher Forms
- Symmetries of modified Dirac operators in supergravity flux backgrounds