Conformal Yano-Killing tensor for the Kerr metric and conserved quantities
General Relativity and Quantum Cosmology
2014-11-17 v2
Abstract
Properties of (skew-symmetric) conformal Yano--Killing tensors are reviewed. Explicit forms of three symmetric conformal Killing tensors in Kerr spacetime are obtained from the Yano--Killing tensor. The relation between spin-2 fields and solutions to the Maxwell equations is used in the construction of a new conserved quantity which is quadratic in terms of the Weyl tensor. The formula obtained is similar to the functional obtained from the Bel--Robinson tensor and is examined in Kerr spacetime. A new interpretation of the conserved quantity obtained is proposed.
Keywords
Cite
@article{arxiv.gr-qc/0510058,
title = {Conformal Yano-Killing tensor for the Kerr metric and conserved quantities},
author = {Jacek Jezierski and Maciej Łukasik},
journal= {arXiv preprint arXiv:gr-qc/0510058},
year = {2014}
}
Comments
29 pages