### Abstract

The homotheties of spherically symmetric space-times admitting maximal isometry groups larger than SO(3) are found along with their metrics, using the homothety equations and without imposing any restriction on the stress-energy tensor. It turns out that there are either 11 or 7 or 5 homotheties. For the space-times with SO(3) as a maximal group, solution is provided in the form of derivatives of metric coefficients, which then requires a further classification, for example, according to different types of stress-energy tensor, as has been done by Eardley [Commun. Math. Phys. 37, 287 (1974)], Cahill and Taub [Commun. Math. Phys. 21, 1 (1971)], and McIntosh [Phys. Lett. A 50, 429 (1975)].

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

Pages (from-to) | 2547-2552 |

Number of pages | 6 |

Journal | Journal of Mathematical Physics |

Volume | 38 |

Issue number | 5 |

Publication status | Published - May 1997 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Mathematical Physics*,

*38*(5), 2547-2552.

**Homothetic motions of spherically symmetric space-times.** / Ahmad, Daud; Ziad, M.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 38, no. 5, pp. 2547-2552.

}

TY - JOUR

T1 - Homothetic motions of spherically symmetric space-times

AU - Ahmad, Daud

AU - Ziad, M.

PY - 1997/5

Y1 - 1997/5

N2 - The homotheties of spherically symmetric space-times admitting maximal isometry groups larger than SO(3) are found along with their metrics, using the homothety equations and without imposing any restriction on the stress-energy tensor. It turns out that there are either 11 or 7 or 5 homotheties. For the space-times with SO(3) as a maximal group, solution is provided in the form of derivatives of metric coefficients, which then requires a further classification, for example, according to different types of stress-energy tensor, as has been done by Eardley [Commun. Math. Phys. 37, 287 (1974)], Cahill and Taub [Commun. Math. Phys. 21, 1 (1971)], and McIntosh [Phys. Lett. A 50, 429 (1975)].

AB - The homotheties of spherically symmetric space-times admitting maximal isometry groups larger than SO(3) are found along with their metrics, using the homothety equations and without imposing any restriction on the stress-energy tensor. It turns out that there are either 11 or 7 or 5 homotheties. For the space-times with SO(3) as a maximal group, solution is provided in the form of derivatives of metric coefficients, which then requires a further classification, for example, according to different types of stress-energy tensor, as has been done by Eardley [Commun. Math. Phys. 37, 287 (1974)], Cahill and Taub [Commun. Math. Phys. 21, 1 (1971)], and McIntosh [Phys. Lett. A 50, 429 (1975)].

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UR - http://www.scopus.com/inward/citedby.url?scp=0031514351&partnerID=8YFLogxK

M3 - Article

VL - 38

SP - 2547

EP - 2552

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 5

ER -