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.

Key phrases

Killing-Yano tensor. Quasi-local angular momentum. Kerr black hole.

AMS Subject Classification (1991)

Primary: 83C40
Secondary: 83C57


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