Journal of Differential Geometry

A new tensorial conservation law for Maxwell fields on the Kerr background

Lars Andersson, Thomas Bäckdahl, and Pieter Blue

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Abstract

A new, conserved, symmetric tensor field for a source-free Maxwell test field on a four-dimensional spacetime with a conformal Killing–Yano tensor, satisfying a certain compatibility condition, is introduced. In particular, this construction works for the Kerr spacetime.

Article information

Source
J. Differential Geom., Volume 105, Number 2 (2017), 163-176.

Dates
Received: 17 December 2014
First available in Project Euclid: 8 February 2017

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1486522812

Digital Object Identifier
doi:10.4310/jdg/1486522812

Mathematical Reviews number (MathSciNet)
MR3606727

Zentralblatt MATH identifier
1361.83012

Citation

Andersson, Lars; Bäckdahl, Thomas; Blue, Pieter. A new tensorial conservation law for Maxwell fields on the Kerr background. J. Differential Geom. 105 (2017), no. 2, 163--176. doi:10.4310/jdg/1486522812. https://projecteuclid.org/euclid.jdg/1486522812


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