A classification of near-horizon geometries of extremal vacuum black holes
By Hari K. Kunduri, James Lucietti. 2008
177 citations recorded by the source corpus.
We consider the near-horizon geometries of extremal, rotating black hole solutions of the vacuum Einstein equations, including a negative cosmological constant, in four and five dimensions. We assume the existence of one rotational symmetry in four dimensions (4D), two commuting rotational symmetries in five dimensions (5D), and in both cases nontoroidal horizon topology. In 4D we determine the most general near-horizon geometry of such a black hole and prove it is the same as the near-horizon limit of the extremal Kerr-AdS4 black hole. In 5D, without a cosmological constant, we determine all possible near-horizon geometries of such black holes. We prove that the only possibilities are one family with a topologically S1×S2 horizon and two distinct families with topologically S3 horizons. The S1×S2 family contains the near-horizon limit of the boosted extremal Kerr string and the extremal vacuum black ring. The first topologically spherical case is identical to the near-horizon limit of two different black...
Subfields: Applied Mathematics, Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/be2057c24fe3f4bb21b68dddd168f9076d421460
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In Applied Mathematics
- Keiju Murata
- Thomas Hartman
- M. Cvetič
- Andrew Strominger
- Benson Way
- Jorge E Santos
- T. Nishioka
- Ó. J. Dias
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Extremal Black Hole/CFT Correspondence in (Guaged) Supergravities (2008, background): “extremal Kerr–AdS black hole in D = 5 was obtained in [ 37 ], and that of the Myers–Perry”
- CFT Duals for Extreme Black Holes (2008, background): “The central charge of the dual CFT is determined by two of the three charges (5)In fact, it was proved in [4,5] that a very general class of extremal black holes has a near horizon metric of this form.”
- Ricci solitons, Ricci flow and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua (2011, unknown): “[35]).”
- Numerical methods for finding stationary gravitational solutions (2015, background): “[550] H.”
- Horizon Instability of Extremal Black Holes (2012, unknown): “Special thanks go to James Lucietti and Volker Schlue for carefully reading the original manuscript and suggesting several improvements.”