Classification of the Killing Vectors in Nonexpanding HH-Spaces with Lambda
General Relativity and Quantum Cosmology
2015-06-03 v1 Mathematical Physics
math.MP
Abstract
Conformal Killing equations and their integrability conditions for nonexpanding hyperheavenly spaces with Lambda are studied. Reduction of ten Killing equations to one master equation is presented. Classification of homothetic and isometric Killing vectors in nonexpanding hyperheavenly spaces with Lambda and homothetic Killing vectors in heavenly spaces is given. Some nonexpanding complex metrics of types [III,N]x[N] are found. A simple example of Lorentzian real slice of the type [N]x[N] is explicitly given.
Keywords
Cite
@article{arxiv.1111.2859,
title = {Classification of the Killing Vectors in Nonexpanding HH-Spaces with Lambda},
author = {Adam Chudecki},
journal= {arXiv preprint arXiv:1111.2859},
year = {2015}
}