On the near horizon rotating black hole geometries with NUT charges

Anton Galajinsky, Kirill Orekhov

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Article number477
JournalEuropean Physical Journal C
Volume76
Issue number9
DOIs
Publication statusPublished - 1 Sep 2016

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Ordinary differential equations
horizon
Vacuum
Geometry
Einstein equations
subgroups
logic
differential equations
vacuum
geometry
configurations

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Physics and Astronomy (miscellaneous)

Cite this

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

In: European Physical Journal C, Vol. 76, No. 9, 477, 01.09.2016.

Research output: Contribution to journalArticle

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