### Abstract

It had been proved earlier that spherically symmetric, static space-times have ten, seven, six, or four independent Killing vectors (KV's), but there are no cases in between. The case of six KV's is investigated here. It is shown that the space-time corresponds to a hyperboloid cross a sphere, reminiscent of Kaluza-Klein theory, with a compactification from four down to two dimensions. In effect, there is a unique metric for this space-time corresponding to a uniform mass distribution over all space.

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

Pages (from-to) | 2473-2474 |

Number of pages | 2 |

Journal | Journal of Mathematical Physics |

Volume | 29 |

Issue number | 11 |

Publication status | Published - 1988 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*29*(11), 2473-2474.

**Static spherically symmetric space-times with six Killing vectors.** / Qadir, Asghar; Ziad, M.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 29, no. 11, pp. 2473-2474.

}

TY - JOUR

T1 - Static spherically symmetric space-times with six Killing vectors

AU - Qadir, Asghar

AU - Ziad, M.

PY - 1988

Y1 - 1988

N2 - It had been proved earlier that spherically symmetric, static space-times have ten, seven, six, or four independent Killing vectors (KV's), but there are no cases in between. The case of six KV's is investigated here. It is shown that the space-time corresponds to a hyperboloid cross a sphere, reminiscent of Kaluza-Klein theory, with a compactification from four down to two dimensions. In effect, there is a unique metric for this space-time corresponding to a uniform mass distribution over all space.

AB - It had been proved earlier that spherically symmetric, static space-times have ten, seven, six, or four independent Killing vectors (KV's), but there are no cases in between. The case of six KV's is investigated here. It is shown that the space-time corresponds to a hyperboloid cross a sphere, reminiscent of Kaluza-Klein theory, with a compactification from four down to two dimensions. In effect, there is a unique metric for this space-time corresponding to a uniform mass distribution over all space.

UR - http://www.scopus.com/inward/record.url?scp=36549091957&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549091957&partnerID=8YFLogxK

M3 - Article

VL - 29

SP - 2473

EP - 2474

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -