### Abstract

The near horizon geometries are usually constructed by implementing a specific limit to a given extreme black hole configuration. Their salient feature is that the isometry group includes the conformal subgroup SO(2, 1). In this work, we turn the logic around and use the conformal invariants for constructing Ricci-flat metrics in d= 4 and d= 5 where the vacuum Einstein equations reduce to a coupled set of ordinary differential equations. In four dimensions the analysis can be carried out in full generality and the resulting metric describes the d= 4 near horizon Kerr–NUT black hole. In five dimensions we choose a specific ansatz whose structure is similar to the d= 5 near horizon Myers–Perry black hole. A Ricci-flat metric involving five arbitrary parameters is constructed. A particular member of this family, which is characterized by three parameters, seems to be a natural candidate to describe the d= 5 near horizon Myers–Perry black hole with a NUT charge.

Original language | English |
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Article number | 477 |

Journal | European Physical Journal C |

Volume | 76 |

Issue number | 9 |

DOIs | |

Publication status | Published - 1 Sep 2016 |

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### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Physics and Astronomy (miscellaneous)

### Cite this

*European Physical Journal C*,

*76*(9), [477]. https://doi.org/10.1140/epjc/s10052-016-4333-0

**On the near horizon rotating black hole geometries with NUT charges.** / Galajinsky, Anton; Orekhov, Kirill.

Research output: Contribution to journal › Article

*European Physical Journal C*, vol. 76, no. 9, 477. https://doi.org/10.1140/epjc/s10052-016-4333-0

}

TY - JOUR

T1 - On the near horizon rotating black hole geometries with NUT charges

AU - Galajinsky, Anton

AU - Orekhov, Kirill

PY - 2016/9/1

Y1 - 2016/9/1

N2 - The near horizon geometries are usually constructed by implementing a specific limit to a given extreme black hole configuration. Their salient feature is that the isometry group includes the conformal subgroup SO(2, 1). In this work, we turn the logic around and use the conformal invariants for constructing Ricci-flat metrics in d= 4 and d= 5 where the vacuum Einstein equations reduce to a coupled set of ordinary differential equations. In four dimensions the analysis can be carried out in full generality and the resulting metric describes the d= 4 near horizon Kerr–NUT black hole. In five dimensions we choose a specific ansatz whose structure is similar to the d= 5 near horizon Myers–Perry black hole. A Ricci-flat metric involving five arbitrary parameters is constructed. A particular member of this family, which is characterized by three parameters, seems to be a natural candidate to describe the d= 5 near horizon Myers–Perry black hole with a NUT charge.

AB - The near horizon geometries are usually constructed by implementing a specific limit to a given extreme black hole configuration. Their salient feature is that the isometry group includes the conformal subgroup SO(2, 1). In this work, we turn the logic around and use the conformal invariants for constructing Ricci-flat metrics in d= 4 and d= 5 where the vacuum Einstein equations reduce to a coupled set of ordinary differential equations. In four dimensions the analysis can be carried out in full generality and the resulting metric describes the d= 4 near horizon Kerr–NUT black hole. In five dimensions we choose a specific ansatz whose structure is similar to the d= 5 near horizon Myers–Perry black hole. A Ricci-flat metric involving five arbitrary parameters is constructed. A particular member of this family, which is characterized by three parameters, seems to be a natural candidate to describe the d= 5 near horizon Myers–Perry black hole with a NUT charge.

UR - http://www.scopus.com/inward/record.url?scp=84985909390&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84985909390&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-016-4333-0

DO - 10.1140/epjc/s10052-016-4333-0

M3 - Article

AN - SCOPUS:84985909390

VL - 76

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 9

M1 - 477

ER -