Author:
Ball Adam,Bencke Anna,Chen Yaxi,Volovich Anastasia
Abstract
Abstract
We show that the Killing tensor of the Kerr spacetime has an analogue in the $$ \sqrt{\textrm{Kerr}} $$
Kerr
gauge theory solution related to it by the classical double copy. This hidden symmetry of $$ \sqrt{\textrm{Kerr}} $$
Kerr
leads to an additional constant of motion for color-charged point particles moving in it, implying integrability of the equation of motion. These are the gauge theory counterparts to the Carter constant and the integrability of the geodesic equation in a Kerr background.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics