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Numerical relativity for D dimensional space-times: Head-on collisions of black holes and gravitational wave extraction

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. https://resolver.caltech.edu/CaltechAUTHORS:20101207-082849225

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Abstract

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 [1] 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.82.104014DOIArticle
http://prd.aps.org/abstract/PRD/v82/i10/e104014PublisherArticle
ORCID:
AuthorORCID
Sperhake, Ulrich0000-0002-3134-7088
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.
Funders:
Funding AgencyGrant Number
Fundação para a Ciência e a Tecnologia (FCT)SFRH/BD/43558/2008
Fundação para a Ciência e a Tecnologia (FCT)SFRH/BD/46061/2008
Fundação para a Ciência e a Tecnologia (FCT)SFRH/BPD/47955/2008
European Research Council (ERC)DyBHo-256667
Fundação Calouste GulbenkianUNSPECIFIED
Fundação para a Ciência e a Tecnologia (FCT)PTDC/FIS/098025/2008
Fundação para a Ciência e a Tecnologia (FCT)PTDC/FIS/098032/2008
Fundação para a Ciência e a Tecnologia (FCT)PTDC/CTE-AST/098034/2008
Fundação para a Ciência e a Tecnologia (FCT)CERN/FP/109306/2009
Fundação para a Ciência e a Tecnologia (FCT)CERN/FP/109290/2009
Ramon y Cajal ProgrammeUNSPECIFIED
NSFPHY-0601459
NSFPHY-0652995
NSFPHY-0900735
NSFPHY-090003
Centro de Supercomputacion de Galicia (CESGA)ICTS-2009-40
Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:10
Classification Code:PACS: 04.25.dg, 04.50.Gh
Record Number:CaltechAUTHORS:20101207-082849225
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20101207-082849225
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21206
Collection:CaltechAUTHORS
Deposited By: Benjamin Perez
Deposited On:07 Dec 2010 17:44
Last Modified:03 Oct 2019 02:21

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