COMPUTATION OF THE CONFORMAL ALGEBRA OF 1-DECOMPOSABLE SPACETIMES(3)

The conformal algebra of a 1 + 3 decomposable spacetime can be compute d from the conformal Killing vectors (CKV) of the 3-space. It is shown that the general form of such a 3-CKV is the sum of a gradient CKV an d a Killing or homothetic 3-vector. It is proved that spaces of consta nt curvature always admit such conformal Killing vectors. As an exampl e, the complete conformal algebra of a Godel-type spacetime is compute d. Finally it is shown that this method can be extended to compute the conformal algebra of more general non-decomposable spacetimes.