### Abstract

Taub (in General Relativity. edited by L. O' Raifeartaigh (Clarenlon Press) 1972, p. 133) discussed the plane-symmetric similarity solutions for selfgravitating fluids. Hall and Steelc (Grn. Rclat Gravit , 22 (1990) 457) investigated space-times admitting a proper homothety vector field upto their Segre and Petrov tvpos. Here a complete classification of static plane-symmetric spacetimes according to their isometrie;-. (homotheties) and metrics is provided, without imposing any restriction on the stress-energy tensor. It turns out that these sapacetimes admit G_{r} (r =4. 5.6. 7, 10) as the maximal isometry groups whereas their homothety groups are H_{m} (m = 5. 7 11). In each case the metric along with their Killing (homothety) vector fields are obtained. The Einstein Held equations are then used to discuss the stress energy tensors of the spHcrtimes admitting higher symmetries along with their Segre and Plebanski types and finally results are compared with those of Taub. Hall and Stoele.

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

Pages (from-to) | 683-692 |

Number of pages | 10 |

Journal | II Nuovo Cimento B Series 11 |

Volume | 114 |

Issue number | 6 |

Publication status | Published - 1999 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*II Nuovo Cimento B Series 11*,

*114*(6), 683-692.

**The classification of static plane-symmetric spacetimes.** / Ziad, M.

Research output: Contribution to journal › Article

*II Nuovo Cimento B Series 11*, vol. 114, no. 6, pp. 683-692.

}

TY - JOUR

T1 - The classification of static plane-symmetric spacetimes

AU - Ziad, M.

PY - 1999

Y1 - 1999

N2 - Taub (in General Relativity. edited by L. O' Raifeartaigh (Clarenlon Press) 1972, p. 133) discussed the plane-symmetric similarity solutions for selfgravitating fluids. Hall and Steelc (Grn. Rclat Gravit , 22 (1990) 457) investigated space-times admitting a proper homothety vector field upto their Segre and Petrov tvpos. Here a complete classification of static plane-symmetric spacetimes according to their isometrie;-. (homotheties) and metrics is provided, without imposing any restriction on the stress-energy tensor. It turns out that these sapacetimes admit Gr (r =4. 5.6. 7, 10) as the maximal isometry groups whereas their homothety groups are Hm (m = 5. 7 11). In each case the metric along with their Killing (homothety) vector fields are obtained. The Einstein Held equations are then used to discuss the stress energy tensors of the spHcrtimes admitting higher symmetries along with their Segre and Plebanski types and finally results are compared with those of Taub. Hall and Stoele.

AB - Taub (in General Relativity. edited by L. O' Raifeartaigh (Clarenlon Press) 1972, p. 133) discussed the plane-symmetric similarity solutions for selfgravitating fluids. Hall and Steelc (Grn. Rclat Gravit , 22 (1990) 457) investigated space-times admitting a proper homothety vector field upto their Segre and Petrov tvpos. Here a complete classification of static plane-symmetric spacetimes according to their isometrie;-. (homotheties) and metrics is provided, without imposing any restriction on the stress-energy tensor. It turns out that these sapacetimes admit Gr (r =4. 5.6. 7, 10) as the maximal isometry groups whereas their homothety groups are Hm (m = 5. 7 11). In each case the metric along with their Killing (homothety) vector fields are obtained. The Einstein Held equations are then used to discuss the stress energy tensors of the spHcrtimes admitting higher symmetries along with their Segre and Plebanski types and finally results are compared with those of Taub. Hall and Stoele.

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M3 - Article

VL - 114

SP - 683

EP - 692

JO - Il Nuovo Cimento B Series 10

JF - Il Nuovo Cimento B Series 10

SN - 0369-3554

IS - 6

ER -