The computation of the Conformal Killing Vectors of an 1+(n-1) decomposable metric

Pantelis S. Apostolopoulos; Michael Tsamparlis

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The computation of the Conformal Killing Vectors of an 1+(n-1) decomposable metric

Pantelis S. Apostolopoulos·Michael Tsamparlis

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Abstract

A generalisation of a known theorem concerning the computation of the conformal algebra in 1+(n-1) decomposable spaces is presented. It is shown that the general form of Conformal Vector Fields (CVF) is the sum of a gradient CVF and a Killing or Homothetic (n-1)-vector. A simple criterion is established which enables one to check if a 1+(n-1) decomposable spacetime admits proper CVF. As an example, the complete conformal algebra of a Gödel-type spacetime is computed.

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Pantelis S. Apostolopoulos, Michael Tsamparlis. 2002-11-29. The computation of the Conformal Killing Vectors of an 1+(n-1) decomposable metric. https://arxiv.org/abs/gr-qc/0211107

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