Conformal Yano-Killing tensor for the Kerr metric and conserved quantities

Details Conformal Yano-Killing tensor for the Kerr metric and conserved quantities Conformal Yano-Killing tensor for the Kerr metric and conserved quantities

2005-10-12

arxiv.org/abs/gr-qc/0510058v2

Class. Quant. Grav. 23 (2006) 2895-2918

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages

Scientific paper

10.1088/0264-9381/23/9/008

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.

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