Second order symmetry operators
General Relativity and Quantum Cosmology
2014-06-20 v2 Analysis of PDEs
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.
Cite
@article{arxiv.1402.6252,
title = {Second order symmetry operators},
author = {Lars Andersson and Thomas Bäckdahl and Pieter Blue},
journal= {arXiv preprint arXiv:1402.6252},
year = {2014}
}
Comments
34 pages. Mathematica notebook available from http://hdl.handle.net/10283/541