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Second order symmetry operators

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arxiv 1402.6252 v2 pith:HCWZQA6C submitted 2014-02-25 gr-qc math.AP

Second order symmetry operators

Lars Andersson , Thomas B\"ackdahl , Pieter Blue This is my paper
classification gr-qc math.AP
keywords equationoperatorssymmetryequationsordersecondalgebraallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Using systematic calculations in spinor language, we obtain simple descriptions of the second order symmetry operators for the conformal wave equation, the Dirac-Weyl equation and the Maxwell equation on a curved four dimensional Lorentzian manifold. The conditions for existence of symmetry operators for the different equations are seen to be related. Computer algebra tools have been developed and used to systematically reduce the equations to a form which allows geometrical interpretation.

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  1. On Generalized (Conformal) Killing Tensors

    gr-qc 2026-07 conditional novelty 6.0

    Mixed-symmetry generalized Killing tensors, plus a null-geodesic conformal-like version, are constructed and shown to exist in Kerr-NUT-AdS black holes.