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

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

2002-11-29

arxiv.org/abs/gr-qc/0211107v1

Tensor N. S. Vol. 61, (1999) 260-269

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Latex. Matches version to appear in Tensor N. S

Scientific paper

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 G\"odel-type spacetime is computed.

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