Solutions of Penrose's Equation

Details Solutions of Penrose's Equation Solutions of Penrose's Equation

1998-09-27

arxiv.org/abs/gr-qc/9809074v1

J.Math.Phys. 40 (1999) 309-317

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in J. Math. Phys

Scientific paper

10.1063/1.532773

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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