Solutions of Penrose's Equation
General Relativity and Quantum Cosmology
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/9809074,
title = {Solutions of Penrose's Equation},
author = {E. N. Glass and Jonathan Kress},
journal= {arXiv preprint arXiv:gr-qc/9809074},
year = {2009}
}
Comments
To appear in J. Math. Phys