### 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 |
---|---|

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

*Journal of Mathematical Physics*,

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

**The maximum dimension of the inheriting algebra in perfect fluid space-times.** / Coley, A. A.; Hall, Graham Stanley; Keane, A. J.; Tupper, B. O. J.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 43, no. 11, pp. 5567-5577. https://doi.org/10.1063/1.1509087

}

TY - JOUR

T1 - The maximum dimension of the inheriting algebra in perfect fluid space-times

AU - Coley, A. A.

AU - Hall, Graham Stanley

AU - Keane, A. J.

AU - Tupper, B. O. J.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - KILLING VECTOR-FIELDS

KW - ROBERTSON-WALKER SPACETIMES

KW - CONFORMAL-SYMMETRIES

KW - GENERAL-RELATIVITY

U2 - 10.1063/1.1509087

DO - 10.1063/1.1509087

M3 - Article

VL - 43

SP - 5567

EP - 5577

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -