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Journal Article

Second order symmetry operators

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20682

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

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Fulltext (public)

1402.6252.pdf
(Preprint), 453KB

CQG_31_13_135015.pdf
(Any fulltext), 541KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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: http://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.