Geodesics and Symmetries of Doubly-Spinning Black Rings
Abstract
This paper studies various properties of the Pomeransky-Sen'kov doubly-spinning black ring spacetime. I discuss the structure of the ergoregion, and then go on to demonstrate the separability of the Hamilton-Jacobi equation for null, zero energy geodesics, which exist in the ergoregion. These geodesics are used to construct geometrically motivated coordinates that cover the black hole horizon. Finally, I relate this weak form of separability to the existence of a conformal Killing tensor in a particular 4-dimensional spacetime obtained by Kaluza-Klein reduction, and show that a related conformal Killing-Yano tensor only exists in the singly-spinning case.
Keywords
Cite
@article{arxiv.0812.0235,
title = {Geodesics and Symmetries of Doubly-Spinning Black Rings},
author = {Mark Durkee},
journal= {arXiv preprint arXiv:0812.0235},
year = {2009}
}
Comments
Minor corrections/clarifications and references added, results of paper unchanged. Accepted for publication by Class. Quant. Grav. (26 pages, 5 figures)