### Abstract

This paper presents a general discussion of projective symmetry in FRW spacetimes. It is shown that there is at most one proper projective vector field admitted in the sense that any other projective vector field is a linear combination of the original and a homothetic vector field. The situation is, essentially, solved completely for the FRW models with k = +/-1 and up to quadratures in the case k = 0.

Original language | English |
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Pages (from-to) | 4637-4644 |

Number of pages | 8 |

Journal | Classical and Quantum Gravity |

Volume | 17 |

Publication status | Published - 2000 |

### Keywords

- COLLINEATIONS

### Cite this

*Classical and Quantum Gravity*,

*17*, 4637-4644.

**Projective symmetry in FRW spacetimes.** / Hall, G S .

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 17, pp. 4637-4644.

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TY - JOUR

T1 - Projective symmetry in FRW spacetimes

AU - Hall, G S

PY - 2000

Y1 - 2000

N2 - This paper presents a general discussion of projective symmetry in FRW spacetimes. It is shown that there is at most one proper projective vector field admitted in the sense that any other projective vector field is a linear combination of the original and a homothetic vector field. The situation is, essentially, solved completely for the FRW models with k = +/-1 and up to quadratures in the case k = 0.

AB - This paper presents a general discussion of projective symmetry in FRW spacetimes. It is shown that there is at most one proper projective vector field admitted in the sense that any other projective vector field is a linear combination of the original and a homothetic vector field. The situation is, essentially, solved completely for the FRW models with k = +/-1 and up to quadratures in the case k = 0.

KW - COLLINEATIONS

M3 - Article

VL - 17

SP - 4637

EP - 4644

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

ER -