Killing Symmetries in $\mathcal{H}$-Spaces with $\Lambda$
General Relativity and Quantum Cosmology
2013-10-28 v1 Mathematical Physics
math.MP
Abstract
All Killing symmetries in complex -spaces with in terms of the Pleba\'nski - Robinson - Finley coordinate system are found. All -metrics with admitting a null Killing vector are explicitly given. It is shown that the problem of non-null Killing vector reduces to looking for solution of the Boyer - Finley - Pleba\'nski (Toda field) equation
Keywords
Cite
@article{arxiv.1303.1135,
title = {Killing Symmetries in $\mathcal{H}$-Spaces with $\Lambda$},
author = {Adam Chudecki and Maciej Przanowski},
journal= {arXiv preprint arXiv:1303.1135},
year = {2013}
}