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Formalism for spacetimes with a homothety

John D Steele

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The formalism developed by Fayos and Sopuerta for isometries in vacuum spacetimes is generalized in three ways: to include the case of homotheties, to allow for a tetrad not aligned to the symmetry structure and to allow for a non-normalized tetrad. The new formalism is used to recover results by McIntosh and also applied to the particular cases of Robinson–Trautman and Kundt type N.


PACS

04.20.Cv Fundamental problems and general formalism

MSC

83Cxx General relativity

Subjects

Gravitation and cosmology

Dates

Issue 2 (21 January 2002)

Received 1 August 2001, in final form 21 November 2001

Published 2 January 2002



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