Debye potentials for Maxwell and Dirac fields from a generalization of the Killing–Yano equation

1996/10/17 by I. M. Benn, P. Charlton, Philip Charlton +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #gr-qc

paper · pdf · doi:10.1063/1.532140

published as J.Math.Phys. 38 (1997) 4504-4527 · 35 pages, plain TeX

arxiv created 1996/10/17 · openalex publication_date 1997/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

By using conformal Killing–Yano tensors, and their generalizations, 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.

Citations

• An Approach to Gravitational Radiation by a Method of Spin Coefficients

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