Geodesics and Symmetries of Doubly-Spinning Black Rings

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Durkee, Mark
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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.
Comment: Minor corrections/clarifications and references added, results of paper unchanged. Accepted for publication by Class. Quant. Grav. (26 pages, 5 figures)
Keywords
General Relativity and Quantum Cosmology, High Energy Physics - Theory
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