### Abstract

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.

Original language | English |
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Pages (from-to) | 5567-5577 |

Number of pages | 10 |

Journal | Journal of Mathematical Physics |

Volume | 43 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2002 |

### Keywords

- KILLING VECTOR-FIELDS
- ROBERTSON-WALKER SPACETIMES
- CONFORMAL-SYMMETRIES
- GENERAL-RELATIVITY

## Cite this

Coley, A. A., Hall, G. S., Keane, A. J., & Tupper, B. O. J. (2002). The maximum dimension of the inheriting algebra in perfect fluid space-times.

*Journal of Mathematical Physics*,*43*(11), 5567-5577. https://doi.org/10.1063/1.1509087