Classification of the Killing Vectors in Nonexpanding HH-Spaces with Lambda

Details Classification of the Killing Vectors in Nonexpanding HH-Spaces with Lambda Classification of the Killing Vectors in Nonexpanding HH-Spaces with Lambda

2011-11-11

arxiv.org/abs/1111.2859v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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.

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