Extremal vacuum black holes in higher dimensions
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Abstract
We consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2,1) symmetry in a special case where one has an enhanced rotational symmetry group. We construct examples of vacuum near-horizon geometries using the extremal Myers-Perry black holes and boosted Myers-Perry strings. The latter lead to near-horizon geometries of black ring topology, which in odd spacetime dimensions have the correct number rotational symmetries to describe an asymptotically flat black object. We argue that a subset of these correspond to the near-horizon limit of asymptotically flat extremal black rings. Using this identification we provide a conjecture for the exact ``phase diagram'' of extremal vacuum black rings with a connected horizon in odd spacetime dimensions greater than five.Keywords
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This publication has 62 references indexed in Scilit:
- Stationary black holes and attractor mechanismNuclear Physics B, 2008
- Black hole entropy function, attractors and precision counting of microstatesGeneral Relativity and Gravitation, 2008
- Moduli and (un)attractor black hole thermodynamicsGeneral Relativity and Gravitation, 2008
- A Higher Dimensional Stationary Rotating Black Hole Must be AxisymmetricCommunications in Mathematical Physics, 2007
- On non-existence of static vacuum black holes with degenerate components of the event horizonClassical and Quantum Gravity, 2005
- All supersymmetric solutions of minimal supergravity in five dimensionsClassical and Quantum Gravity, 2003
- The first law of black brane mechanicsClassical and Quantum Gravity, 2001
- Black holes in higher dimensional space-timesAnnals of Physics, 1986
- Symmetries of cosmological Cauchy horizonsCommunications in Mathematical Physics, 1983
- The four laws of black hole mechanicsCommunications in Mathematical Physics, 1973