2006/07/31 by Paul F. Davis, Paul Davis
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Conformal map #Cosmology and Gravitation Theories #Exact solutions in general relativity #Field (mathematics) #Gauged supergravity #Geometry #Killing vector field #Massless particle #Mathematical analysis #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #Rotation (mathematics) #Separable space #Spacetime #Supergravity #Supersymmetry #Tensor (intrinsic definition) #Tensor field #Vector field #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/23/23/014
published as Class.Quant.Grav.23:6829-6844,2006 · 18 pages, Latex. v2: One reference added, minor typos corrected and repeated equation removed. Published version
openalex publication_date 2006/10/19 · arxiv created 2006/10/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we show that some five-dimensional rotating black hole solutions of both gauged and ungauged supergravity, with independent rotation parameters and three charges, admit separable solutions to the massless Hamilton–Jacobi and Klein–Gordon equations. This allows us to write a conformal Killing tensor for the spacetime. Conformal Killing tensors obey an equation involving a co-vector field. We find this co-vector field in three specific examples and also give a general formula for it.