We determine the maximum dimension of the Lie algebra of inheriting conformal Killing vectors in perfect fluid space-times. For the case of conformally flat space-times the maximum dimension is eight and for the case of nonconformally flat space-times the maximum dimension is found to be five. We illustrate each case with examples. (C) 2002 American Institute of Physics.
- KILLING VECTOR-FIELDS
- ROBERTSON-WALKER SPACETIMES