https://doi.org/10.1140/epjc/s10052-016-4333-0
Regular Article - Theoretical Physics
On the near horizon rotating black hole geometries with NUT charges
Laboratory of Mathematical Physics, Tomsk Polytechnic University, Lenin Ave. 30, 634050, Tomsk, Russian Federation
* e-mail: galajin@tpu.ru
Received:
27
July
2016
Accepted:
23
August
2016
Published online:
30
August
2016
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 
and 
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 near horizon Kerr–NUT black hole. In five dimensions we choose a specific ansatz whose structure is similar to the 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 near horizon Myers–Perry black hole with a NUT charge.
© The Author(s), 2016
