Solutions of Penrose's Equation
E. N. Glass and Jonathan Kress
Research Report 98-15
Date: 20 July 1998
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.
Killing-Yano tensor. Quasi-local angular momentum. Kerr black hole.
AMS Subject Classification (1991)
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Sydney Mathematics and Statistics