2008/12/31 by Mark Durkee · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Geodesic #Geometry #Homogeneous space #Horizon #Mathematical analysis #Mathematical physics #Penrose process #Physics #Pure mathematics #Quantum mechanics #Schwarzschild radius #Solving the geodesic equations #Spacetime #Spinning #Tensor (intrinsic definition) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/26/8/085016
published as Class.Quant.Grav.26:085016,2009 · Minor corrections/clarifications and references added, results of paper unchanged. Accepted for publication by Class. Quant. Grav. (26 pages, 5 figures)
arxiv created 2009/03/11 · openalex publication_date 2009/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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. 1