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  Second order symmetry operators

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0019-F5CD-6 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0019-F5CF-2
Genre: Journal Article

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 Creators:
Andersson, Lars1, Author           
Bäckdahl, Thomas, Author
Blue, Pieter, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP,
 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.

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 Dates: 2014-02-252014-06-192014
 Publication Status: Issued
 Pages: 34 pages. Mathematica notebook available from http://hdl.handle.net/10283/541
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1402.6252
DOI: 10.1088/0264-9381/31/13/135015
URI: http://arxiv.org/abs/1402.6252
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 31 Sequence Number: 135015 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1