Killing–Yano tensors and variable separation in Kerr geometry

DOI10.1063/1.528565zbMath0696.53044OpenAlexW2087741505MaRDI QIDQ3472807

George C. Williams, Willard jun. Miller, Ernest G. Kalnins

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528565

zbMATH Keywords

Killing-Yano tensorKerr geometrymassless spin-s equations

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50)

Related Items (6)

Killing spinors and separability of Maxwell’s equations ⋮ Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates ⋮ Conserved currents for electromagnetic fields in the Kerr spacetime ⋮ Generalized hidden symmetries and the Kerr-Sen black hole ⋮ Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\) ⋮ Symmetries of linearized gravity from adjoint operators

Cites Work

• Killing spinors and massless spinor fields
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics

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