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Self-similar critical geometries at horizon intersections and mergers · Around

2011

Self-similar critical geometries at horizon intersections and mergers

Emparan, Roberto, Haddad, Nidal

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We study topology-changing transitions in the space of higher-dimensional black hole solutions.

Kol has proposed that these are conifold-type transitions controlled by self-similar double-cone geometries.
We present an exact example of this phenomenon in the intersection between a black hole horizon and a cosmological deSitter horizon in D >= 6.
We also describe local models for the critical geometries that control many transitions in the phase space of higher-dimensional black holes, such as the pinch-down of a topologically spherical black hole to a black ring or to a black p-sphere, or the merger between black holes and black rings in black Saturns or di-rings in D >= 6.

Built on

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1978
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S. W. Hawking, C. J. Hunter, M. Taylor, “Rotation and the AdS / CFT correspondence,” Phys. Rev. D59
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B. Kol, T. Wiseman “ Evidence that highly non-uniform black strings have a conical waist,” Class. Quant. Grav. 20
2003
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R. Emparan, R. C. Myers, “Instability of ultra-spinning black holes,” JHEP 0309
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T. Harmark, N. A. Obers, “Black holes on cylinders,” JHEP 0205
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H. Lu, D. N. Page, C. N. Pope, “New inhomogeneous Einstein metrics on sphere bundles over Einstein-Kahler manifolds,” Phys. Lett. B593
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G. W. Gibbons, H. Lu, D. N. Page, C. N. Pope, “Rotating black holes in higher dimensions with a cosmological constant,” Phys. Rev. Lett. 93
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Similar

B. Kol “ Topology change in General Relativity, and the black-hole black-string transition,” JHEP 10
2005
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Z. W. Chong, G. W. Gibbons, H. Lu, C. N. Pope, “Separability and killing tensors in Kerr-Taub-NUT-de sitter metrics in higher dimensions,” Phys. Lett. B609
2005
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B. Kol, “The Phase transition between caged black holes and black strings: A Review,” Phys. Rept. 422
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2006
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S. S. Gubser, “On nonuniform black branes,” Class. Quant. Grav. 19
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V. Asnin, B. Kol, M. Smolkin, “Analytic evidence for continuous self similarity of the critical merger solution,” Class. Quant. Grav. 23
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Then

R. Emparan, T. Harmark, V. Niarchos and N. A. Obers, “Worldvolume Effective Theory for Higher-Dimensional Black Holes (Blackfolds),” Phys. Rev. Lett. 102
Original
2009
Later among the works it cites.
R. Emparan, T. Harmark, V. Niarchos and N. A. Obers, “Essentials of Blackfold Dynamics,” JHEP 1003
Original
2010
Later among the works it cites.
M. Headrick, S. Kitchen, T. Wiseman, “A New approach to static numerical relativity, and its application to Kaluza-Klein black holes,” Class. Quant. Grav. 27
Original
2010
Later among the works it cites.
R. Emparan, P. Figueras, “Multi-black rings and the phase diagram of higher-dimensional black holes,” JHEP 1011
Original
2010
Later among the works it cites.
R. Emparan, T. Harmark, V. Niarchos and N. A. Obers, “New Horizons for Black Holes and Branes,” JHEP 1004

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L. Lehner, F. Pretorius, “Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship,” Phys. Rev. Lett. 105

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O. J. C. Dias, P. Figueras, R. Monteiro, J. E. Santos, R. Emparan, “Instability and new phases of higher-dimensional rotating black holes,” Phys. Rev. D80

2011

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