Note on conserved currents in static Conformal Killing Gravity
arXiv:2504.12840 · doi:10.1103/rqdw-xgsg
Abstract
Conserved currents are discussed for static Conformal Killing Gravity, with explicit expressions in static spherical symmetry with anisotropic matter fluid or coupled to (non)linear electromagnetism. They are found in the reformulation of the third order equations by Harada as Einstein equations with sources supplemented by a divergence free anisotropic conformal Killing tensor. A conserved current proposed by Altas and Tekin is also evaluated, and found nonzero for the vacuum solution by Harada.
A short section on Killing vectors in spherical symmetry has been added, with a remark on the structure of the conformal Killing tensor