# Solutions of Penrose's Equation

## Author

**E. N. Glass** and **Jonathan Kress**

## Status

Research Report 98-15

Date: 20 July 1998

## 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.

## Key phrases

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

## AMS Subject Classification (1991)

Primary: 83C40

Secondary: 83C57

## Content

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1998-15.dvi (43kB)

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