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Solutions of Penrose's Equation

E. N. Glass·Jonathan Kress
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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.

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E. N. Glass, Jonathan Kress. 1998-09-27. Solutions of Penrose's Equation. https://doi.org/10.1063/1.532773

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