English

First Order Symmetry Operators for the Linearized Field Equation of Metric Perturbations

High Energy Physics - Theory 2019-12-25 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1909.12439,
  title  = {First Order Symmetry Operators for the Linearized Field Equation of Metric Perturbations},
  author = {Yoji Michishita},
  journal= {arXiv preprint arXiv:1909.12439},
  year   = {2019}
}

Comments

27 pages, v2: references added