pith. sign in

arxiv: gr-qc/9402044 · v1 · submitted 1994-02-26 · 🌀 gr-qc

Axisymmetric Stationary Solutions as Harmonic Maps

Tonatiuh Matos , Jerzy Plebanski This is my paper
classification 🌀 gr-qc
keywords harmonicmethodsolutionsaxisymmetricclasseinsteinequationsmaps
0
0 comments X
read the original 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).

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Potential Space Symmetries in Ernst-like Formulations of Einstein-Maxwell/ModMax-Scalar field Theories

    gr-qc 2026-05 unverdicted novelty 7.0

    The visible symmetries of the real potential space (f,ε,ψ,χ,κ) form a solvable Lie algebra, hidden symmetries act sectorially, and sectorial transformations applied to harmonic seeds produce charged and rotating branc...