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Integrability of the Rarita-Schwinger equation

A Szereszewski and J Tafel

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LETTER TO THE EDITOR

We show that for stationary axially symmetric metrics the Rarita-Schwinger equation does not reduce to the standard linear system related to the Ernst equation. We interpret this fact as a negative test of the complete integrability of the Einstein equations.


PACS

04.20.-q Classical general relativity

02.30.Ik Integrable systems

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 18 (21 September 2001)

Received 20 July 2001

Published 5 September 2001



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