Integrability of three dimensional gravity field equations

Date

2022-02-10

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Source Title

Journal of Physics: Conference Series

Print ISSN

17426588

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IOP Publishing Ltd

Volume

2191

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1

Pages

1 - 8

Language

English

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Abstract

We show that the tree dimensional Einstein vacuum feld equations with cosmological constant are integrable. Using the sl(2, R) valued soliton connections we obtain the metric of the spacetime in terms of the dynamical variables of the integrable nonlinear partial diferential equations. © 2021 Published under licence by IOP Publishing Ltd.

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