Solutions of Penrose's Equation

Abstract

The computational use of Killing potentials which satisfy Penrose's equation is discussed. Penrose's equation is presented as a conformal Killing-Yano equation and the class of possible solutions is analyzed. It is shown that solutions exist in spacetimes of Petrov type O, D or N. In the particular case of the Kerr background, it is shown that there can be no Killing potential for the axial Killing vector.

To appear in J. Math. Phys

References in corpus (2)

• Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation
• Angular Momentum and Killing Potentials

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• Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
• Integrability Conditions for Killing-Yano Tensors and Conformal Killing-Yano Tensors
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• Two special classes of space-times admitting a non-null valence two Killing spinor
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