Homothetic Killing Vectors in Expanding HH-Spaces with Lambda

Details Homothetic Killing Vectors in Expanding HH-Spaces with Lambda Homothetic Killing Vectors in Expanding HH-Spaces with Lambda

2011-04-18

arxiv.org/abs/1104.3409v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages

Scientific paper

Conformal Killing equations and their integrability conditions for expanding hyperheavenly spaces with Lambda in spinorial formalism are studied. It is shown that any conformal Killing vector reduces to homothetic or isometric Killing vector. Reduction of respective Killing equation to one master equation is presented. Classification of homothetic and isometric Killing vectors is given. Type [D]x[any] is analysed in details and some expanding HH complex metrics of types [III, N]x[III, N] with Lambda admitting isometric Killing vectors are found.

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