### Abstract

Some restrictions on the existence of homothetic and conformal vector fields in space-times which already admit some Killing symmetry are established, In particular, the behaviour of Weyl invariants and the nature of the Petrov type of the Weyl tensor along the integral curves of conformal vector fields are studied. This results in important restrictions between conformal vector fields and Killing orbits. A brief remark is made on Weyl collineations.

Original language | English |
---|---|

Pages (from-to) | 933-941 |

Number of pages | 9 |

Journal | General Relativity and Gravitation |

Volume | 32 |

Publication status | Published - 2000 |

### Keywords

- killing orbits
- FIXED-POINTS
- AFFINE COLLINEATIONS
- SYMMETRIES

### Cite this

*General Relativity and Gravitation*,

*32*, 933-941.

**Conformal vector fields and conformal-type collineations in space-times.** / Hall, G S .

Research output: Contribution to journal › Article

*General Relativity and Gravitation*, vol. 32, pp. 933-941.

}

TY - JOUR

T1 - Conformal vector fields and conformal-type collineations in space-times

AU - Hall, G S

PY - 2000

Y1 - 2000

N2 - Some restrictions on the existence of homothetic and conformal vector fields in space-times which already admit some Killing symmetry are established, In particular, the behaviour of Weyl invariants and the nature of the Petrov type of the Weyl tensor along the integral curves of conformal vector fields are studied. This results in important restrictions between conformal vector fields and Killing orbits. A brief remark is made on Weyl collineations.

AB - Some restrictions on the existence of homothetic and conformal vector fields in space-times which already admit some Killing symmetry are established, In particular, the behaviour of Weyl invariants and the nature of the Petrov type of the Weyl tensor along the integral curves of conformal vector fields are studied. This results in important restrictions between conformal vector fields and Killing orbits. A brief remark is made on Weyl collineations.

KW - killing orbits

KW - FIXED-POINTS

KW - AFFINE COLLINEATIONS

KW - SYMMETRIES

M3 - Article

VL - 32

SP - 933

EP - 941

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

SN - 0001-7701

ER -