Extremal vacuum black holes in higher dimensions
- Centre for Particle Theory, Department of Mathematical Sciences, University of Durham, South Road, Durham, DH1 3LE (United Kingdom)
- DAMTP, University of Cambridge, Centre for Mathematical Sciences, Wilbeforce Road, Cambridge, CB3 0WA (United Kingdom)
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 of 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.
- OSTI ID:
- 21250526
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 4; Other Information: DOI: 10.1103/PhysRevD.78.044042; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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