Witek, Helvi and Zilhão, Miguel and Gualtieri, Leonardo and Cardoso, Vitor and Herdeiro, Carlos and Nerozzi, Andrea and Sperhake, Ulrich (2010) Numerical relativity for D dimensional space-times: Head-on collisions of black holes and gravitational wave extraction. Physical Review D, 82 (10). Art. No. 104014. ISSN 1550-7998 http://resolver.caltech.edu/CaltechAUTHORS:20101207-082849225
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Higher dimensional black holes play an exciting role in fundamental physics, such as high energy physics. In this paper, we use the formalism and numerical code reported in  to study the head-on collision of two black holes. For this purpose we provide a detailed treatment of gravitational wave extraction in generic D dimensional space-times, which uses the Kodama-Ishibashi formalism. For the first time, we present the results of numerical simulations of the head-on collision in five space-time dimensions, together with the relevant physical quantities. We show that the total radiated energy, when two black holes collide from rest at infinity, is approximately (0.089 ± 0.006)% of the center of mass energy, slightly larger than the 0.055% obtained in the four-dimensional case, and that the ringdown signal at late time is in very good agreement with perturbative calculations.
|Additional Information:||© 2010 American Physical Society. Received 16 June 2010; published 5 November 2010. A. N., H.W., and M. Z. would like to express their gratitude to the Department of Physics and Astronomy of the University of Mississippi for their hospitality during the last stages of the work. We thank E. Berti and M. Cavaglià for useful conversations and suggestions. M. Z. and H.W. are funded by FCT through Grant Nos. SFRH/ BD/43558/2008 and SFRH/BD/46061/2008. A.N. is funded by FCT through Grant No. SFRH/BPD/47955/ 2008. This work was supported by the DyBHo-256667 ERC Starting Grant, by Fundação Calouste Gulbenkian, by FCT-Portugal through Project Nos. PTDC/FIS/098025/ 2008, PTDC/FIS/098032/2008, PTDC/CTE-AST/098034/ 2008, CERN/FP/109306/2009, CERN/FP/109290/2009, by the Ramón y Cajal Programme of the Ministry of Education and Science of Spain, NSF Grant Nos. PHY- 0601459, PHY-0652995 and the Fairchild Foundation to Caltech, as well as NSF Grant No. PHY-0900735. 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) under Project No. ICTS-2009-40. Computations were performed on the TeraGrid clusters TACC RANGER and NICS KRAKEN, at MAGERIT in Madrid, FINIS TERRAE and the MILIPEIA cluster in Coimbra. The authors thankfully acknowledge the computer resources, technical expertise, and assistance provided by the Barcelona Supercomputing Centre–Centro Nacional de Supercomputación.|
|Classification Code:||PACS: 04.25.dg, 04.50.Gh|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Benjamin Perez|
|Deposited On:||07 Dec 2010 17:44|
|Last Modified:||26 Dec 2012 12:43|
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