Solutions of Penrose's Equation

Ann Arbor; Australia); E.N. Glass (Department of Physics; Jonathan Kress (School of Mathematics; MI); Statistics; University of Michigan; University of Sydney

arxiv: gr-qc/9809074 · v1 · submitted 1998-09-27 · 🌀 gr-qc

Solutions of Penrose's Equation

E.N. Glass (Department of Physics , University of Michigan , Ann Arbor , MI) , Jonathan Kress (School of Mathematics , Statistics , University of Sydney , Australia) This is my paper

classification 🌀 gr-qc

keywords equationkillingpenrosesolutionsanalyzedaxialbackgroundcase

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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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Solutions of Penrose's Equation

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