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IOP PUBLISHING CLASSICAL AND QUANTUM GRAVITY Class. Quantum Grav. 25 (2008) 135014 (13pp) doi:10.1088/0264-9381/25/13/135014
 

Summary: IOP PUBLISHING CLASSICAL AND QUANTUM GRAVITY
Class. Quantum Grav. 25 (2008) 135014 (13pp) doi:10.1088/0264-9381/25/13/135014
On a new symmetry of the solutions of the wave
equation in the background of a Kerr black hole
Horst R Beyer and Irina Craciun
Louisiana State University (LSU), Center for Computation and Technology (CCT), 328 Johnston
Hall, Baton Rouge, LA 70803, USA
E-mail: horst@cct.lsu.edu
Received 13 April 2008, in final form 19 May 2008
Published 17 June 2008
Online at stacks.iop.org/CQG/25/135014
Abstract
This paper derives a new symmetry operator S that commutes with a normalized
form of the wave operator in a Kerr background. Differently to previously
known symmetry operators for the wave operator, S contains only a partial
time derivative of the first order, but not of higher order. The key for the proof
of commutation is an abstract lemma that might also be applicable to other
separable wave equations. As a consequence, in formulations of the initial
value problem for the wave equation in terms of first-order systems of PDE
and related formulations, S leads on a operator that formally commutes with

  

Source: Allen, Gabrielle - Department of Computer Science, Louisiana State University

 

Collections: Computer Technologies and Information Sciences