### Abstract

Stationary axisymmetric vacuum space-times in general relativity are considered. The Riemannian metric induced on the space of the time-like Killing trajectories is assumed to be ellipsoidal. It is demonstrated that the only ellipsoidal solutions of the vacuum Einstein's equations are the Kerr-NUT family with vanishing electric and magnetic charges.

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

Pages (from-to) | 1101-1107 |

Number of pages | 7 |

Journal | Modern Physics Letters A |

Volume | 13 |

Issue number | 14 |

Publication status | Published - May 10 1998 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics

### Cite this

*Modern Physics Letters A*,

*13*(14), 1101-1107.

**On the uniqueness of stationary axisymmetric ellipsoidal vacuum configurations.** / Rácz, I.; Süveges, Mária.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 13, no. 14, pp. 1101-1107.

}

TY - JOUR

T1 - On the uniqueness of stationary axisymmetric ellipsoidal vacuum configurations

AU - Rácz, I.

AU - Süveges, Mária

PY - 1998/5/10

Y1 - 1998/5/10

N2 - Stationary axisymmetric vacuum space-times in general relativity are considered. The Riemannian metric induced on the space of the time-like Killing trajectories is assumed to be ellipsoidal. It is demonstrated that the only ellipsoidal solutions of the vacuum Einstein's equations are the Kerr-NUT family with vanishing electric and magnetic charges.

AB - Stationary axisymmetric vacuum space-times in general relativity are considered. The Riemannian metric induced on the space of the time-like Killing trajectories is assumed to be ellipsoidal. It is demonstrated that the only ellipsoidal solutions of the vacuum Einstein's equations are the Kerr-NUT family with vanishing electric and magnetic charges.

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UR - http://www.scopus.com/inward/citedby.url?scp=0242317635&partnerID=8YFLogxK

M3 - Article

VL - 13

SP - 1101

EP - 1107

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 14

ER -