First Order Symmetry Operators for the Linearized Field Equation of Metric Perturbations
arXiv:1909.12439 · doi:10.1103/PhysRevD.100.124052
Abstract
We determine the general form of the first order linear symmetry operators for the linearized field equation of metric perturbations in the spacetimes of dimension D>=4. Apart from the part derived easily from the invariance under general coordinate transformations, we find a part consisting of a Killing-Yano 3-form.
27 pages, v2: references added
References in corpus (4)
- Complete Set of Commuting Symmetry Operators for the Klein-Gordon Equation in Generalized Higher-Dimensional Kerr-NUT-(A)dS Spacetimes
- Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets
- Symmetry operators and decoupled equations for linear fields on black hole spacetimes
- On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime