Integrability of three dimensional gravity field equations

Files

Integrability_of_Three_Dimensional_Gravity_Field_Equations.pdf (522.54 KB)

Date

2022-02-10

Authors

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

Source Title

Journal of Physics: Conference Series

Print ISSN

17426588

Electronic ISSN

Publisher

IOP Publishing Ltd

Volume

2191

Issue

1

Pages

1 - 8

Language

English

Type

Conference Paper

Journal Title

Journal ISSN

Volume Title

Citation Stats
Attention Stats
Usage Stats
4
views
39
downloads

Series

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.

Course

Other identifiers

Book Title

Keywords

Cosmological constants, Dynamical variables, Field equation, Gravity field, Integrability, Spacetime, Nonlinear equations

Degree Discipline

Degree Level

Degree Name

Citation

Permalink

http://hdl.handle.net/11693/111759

Published Version (Please cite this version)

https://dx.doi.org/10.1088/1742-6596/2191/1/012013

Collections

Scholarly Publications - Mathematics