Witek, Helvi and Cardoso, Vitor and Herdeiro, Carlos and Nerozzi, Andrea and Sperhake, Ulrich and Zilhão, Miguel (2010) Black holes in a box: Toward the numerical evolution of black holes in AdS space-times. Physical Review D, 82 (10). Art. No. 104037. ISSN 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:20101215-142916783
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The evolution of black holes in “confining boxes” is interesting for a number of reasons, particularly because it mimics the global structure of anti–de Sitter geometries. These are nonglobally hyperbolic space-times and the Cauchy problem may only be well defined if the initial data are supplemented by boundary conditions at the timelike conformal boundary. Here, we explore the active role that boundary conditions play in the evolution of a bulk black hole system, by imprisoning a black hole binary in a box with mirrorlike boundary conditions. We are able to follow the post-merger dynamics for up to two reflections off the boundary of the gravitational radiation produced in the merger. We estimate that about 15% of the radiation energy is absorbed by the black hole per interaction, whereas transfer of angular momentum from the radiation to the black hole is observed only in the first interaction. We discuss the possible role of superradiant scattering for this result. Unlike the studies with outgoing boundary conditions, both of the Newman-Penrose scalars Ψ4 and Ψ0 are nontrivial in our setup, and we show that the numerical data verifies the expected relations between them.
|Additional Information:||© 2010 The American Physical Society. Received 30 April 2010; published 18 November 2010. We thank Leonardo Gualtieri, David Hilditch, and Florian Beyer for useful suggestions and discussions. We also thank the participants of the V Iberian Cosmology Meeting, the XII Marcel Grossmann Meetings, the Spanish Relativity Meeting 2009, and the I and II BH Workshop for useful feedback. M. Z. and H.W. are funded by Fundação para a Ciência e a Tecnologia (FCT) - Portugal through Grants No. SFRH/BD/43558/2008 and No. SFRH/ BD/46061/2008. A.N. is funded by FCT through Grant No. SFRH/BPD/47955/2008. This work was supported by the ERC Starting Grant No. DyBHo–256667, by Fundação Calouste Gulbenkian, by FCT–Portugal through Project Nos. CERN/FP/109306/2009 and CERN/FP/109290/ 2009, PTDC/FIS/64175/2006, PTDC/FIS/098025/2008, PTDC/FIS/098032/2008, PTDC/FIS/098962/2008 and PTDC/CTE-AST/098034/2008, by the Ramón y Cajal Programme of the Ministry of Education and Science of Spain, by NSF Grant No. PHY-0900735, and by the Fairchild Foundation of the California Institute of Technology. This research was supported by an allocation through the TeraGrid Advanced Support Program under Grant No. PHY-090003 and an allocation by the Centro de Supercomputación de Galicia (CESGA), Project No. ICTS-2009-40. Computations were performed on the TeraGrid clusters TACC Ranger and NICS Kraken, at Magerit in Madrid, Finis Terrae, the Milipeia cluster in Coimbra, the Woodhen cluster at Princeton University, and HLRB-II Garching. The authors thankfully acknowledge the computer resources, technical expertise, and assistance provided by the Barcelona Supercomputing Center (Centro Nacional de Supercomputación).|
|Classification Code:||PACS: 04.25.D-, 04.25.dc, 04.25.dg, 04.50.-h|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||15 Dec 2010 22:46|
|Last Modified:||26 Dec 2012 12:46|
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