Axisymmetric Stationary Solutions as Harmonic Maps

Preprint

26 February 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9402044

Abstract

We present a method for generating exact solutions of Einstein equations in vacuum using harmonic maps, when the spacetime possesses two commutating Killing vectors. This method consists in writing the axisymmetric stationry Einstein equations in vacuum as a harmonic map which belongs to the group SL(2,R), and decomposing it in its harmonic "submaps". This method provides a natural classification of the solutions in classes (Weil's class, Lewis' class etc).

Keywords

AXISYMMETRIC STATIONARY
STATIONARY SOLUTIONS
EINSTEIN EQUATIONS
EXACT SOLUTIONS
CLASSIFICATION
HARMONIC MAPS
COMMUTATING
VACUUM

All Related Versions

Version 1, 1994-02-26, ArXiv
Published version: General Relativity and Gravitation, 26 (5), 477.

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