Second order symmetry operators

Pieter Blue

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

Second order symmetry operators

Pieter Blue

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

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.

Original language	English
Article number	135015
Number of pages	34
Journal	Classical and quantum gravity
Volume	31
Issue number	13
DOIs	https://doi.org/10.1088/0264-9381/31/13/135015
Publication status	Published - 17 Jun 2014

Keywords / Materials (for Non-textual outputs)

Wave equations
Symmetry operators
Lorentz manifolds
PARTIAL-DIFFERENTIAL EQUATIONS

Access to Document

10.1088/0264-9381/31/13/135015

sendLicence: Creative Commons: Attribution Non-Commercial (CC-BY-NC)

Analysis of black hole stability
Blue, P.
EPSRC
31/01/13 → 30/06/15
Project: Research
Centre for analysis and nonlinear differential equations
Carbery, T. & Wright, J.
EPSRC
1/08/07 → 31/07/14
Project: Research

Pieter Blue
- School of Mathematics - Reader, Head of Theme in Analysis & Probability
Person: Academic: Research Active

Cite this

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title = "Second order symmetry operators",

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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AB - 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.

KW - Wave equations

KW - Symmetry operators

KW - Lorentz manifolds

KW - PARTIAL-DIFFERENTIAL EQUATIONS

U2 - 10.1088/0264-9381/31/13/135015

DO - 10.1088/0264-9381/31/13/135015

M3 - Article

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VL - 31

JO - Classical and quantum gravity

JF - Classical and quantum gravity

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ER -

Second order symmetry operators

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

Access to Document

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Projects

Analysis of black hole stability

Centre for analysis and nonlinear differential equations

Profiles

Pieter Blue

Cite this