Ladder operators for Klein-Gordon equation with scalar curvature term
Abstract
Recently, Cardoso, Houri and Kimura constructed generalized ladder operators for massive Klein-Gordon scalar fields in space-times with conformal symmetry. Their construction requires a closed conformal Killing vector, which is also an eigenvector of the Ricci tensor. Here, a similar procedure is used to construct generalized ladder operators for the Klein-Gordon equation with a scalar curvature term. It is proven that a ladder operator requires the existence of a conformal Killing vector, which must satisfy an additional property. This property is necessary and sufficient for the construction of a ladder operator. For maximally symmetric space-times, the results are equivalent to those of Cardoso, Houri and Kimura.
Keywords
Cite
@article{arxiv.1710.01283,
title = {Ladder operators for Klein-Gordon equation with scalar curvature term},
author = {Wolfgang Mück},
journal= {arXiv preprint arXiv:1710.01283},
year = {2018}
}
Comments
8 pages, v2: version to appear in PRD