Second order symmetry operators

Andersson, Lars; Bäckdahl, Thomas; Blue, Pieter

doi:10.1088/0264-9381/31/13/135015

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Second order symmetry operators

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Andersson, Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Andersson, L., Bäckdahl, T., & Blue, P. (2014). Second order symmetry operators. Classical and quantum gravity, 31: 135015. doi:10.1088/0264-9381/31/13/135015.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0019-F5CD-6

Abstract

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.