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Higher dimensional numerical relativity: Code comparison

Witek, Helvi and Okawa, Hirotada and Cardoso, Vitor and Gualtieri, Leonardo and Herdeiro, Carlos and Shibata, Masaru and Sperhake, Ulrich and Zilhão, Miguel (2014) Higher dimensional numerical relativity: Code comparison. Physical Review D, 90 (8). Art. No. 084014. ISSN 2470-0010.

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The nonlinear behavior of higher dimensional black hole spacetimes is of interest in several contexts, ranging from an understanding of cosmic censorship to black hole production in high-energy collisions. However, nonlinear numerical evolutions of higher dimensional black hole spacetimes are tremendously complex, involving different diagnostic tools and “dimensional reduction methods.” In this work we compare two different successful codes to evolve Einstein’s equations in higher dimensions, and show that the results of such different procedures agree to numerical precision, when applied to the collision from rest of two equal-mass black holes. We calculate the total radiated energy to be E_rad/M=(9.0±0.5)×10^(−4) in five dimensions and E_rad/M=(8.1±0.4)×10^(−4) in six dimensions.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Shibata, Masaru0000-0002-4979-5671
Sperhake, Ulrich0000-0002-3134-7088
Additional Information:© 2014 American Physical Society. Published 10 October 2014; received 13 June 2014. We thank the Yukawa Institute for Theoretical Physics at Kyoto University for hospitality during the YITP-T-14- 1 workshop on “Holographic vistas on Gravity and Strings.” H.W. acknowledges financial support provided under the ERC-2011-StG 279363–HiDGR ERC Starting Grant. H. O. and V. C. acknowledge financial support provided under the European Union’s FP7 ERC Starting Grant “The dynamics of black holes: testing the limits of Einstein’s theory” Grant Agreement No. DyBHo–256667. U.S. acknowledges support by FP7-PEOPLE-2011-CIG Grant No. 293412 “CBHEO” and CESGA-ICTS Grant No. 249. M. Z. is supported by NSF Grants No. OCI-0832606, No. PHY-0969855, No. AST-1028087, and No.PHY-1229173. This research was supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development & Innovation. This work was supported by the NRHEP 295189 FP7-PEOPLE-2011-IRSESGrant, the STFC GR Roller Grant No. ST/L000636/1, the Cosmos system, part of DiRAC, funded by STFC and BIS under Grant Nos. ST/K00333X/1, ST/J005673/1, and ST/H008586/1, the NSF XSEDE Grant No. PHY-090003, and by project PTDC/FIS/116625/2010. Computations were performed on the “Baltasar Sete-Sois” cluster at IST, on “venus” cluster at YITP, on the COSMOS supercomputer in Cambridge, the CESGA FinisTerrae, SDSC Trestles and NICS Kraken clusters.
Funding AgencyGrant Number
European Research Council (ERC)279363-HiDGR
European Research Council (ERC)DyBHo-256667
Fundación Pública Galega Centro Tecnolóxico de Supercomputación de Galicia (CESGA)ICTS-249
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Science and Technology Facilities Council (STFC)ST/L000636/1
Science and Technology Facilities Council (STFC)ST/K00333X/1
Science and Technology Facilities Council (STFC)ST/J005673/1
Science and Technology Facilities Council (STFC)ST/H008586/1
Fundação para a Ciência e a Tecnologia (FCT)PTDC/FIS/116625/2010
Issue or Number:8
Classification Code:PACS numbers: 04.25.D-, 04.25.dg, 04.50.-h, 04.50.Gh
Record Number:CaltechAUTHORS:20141204-112612628
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Official Citation:Witek, H., Okawa, H., Cardoso, V., Gualtieri, L., Herdeiro, C., Shibata, M., . . . Zilhão, M. (2014). Higher dimensional numerical relativity: Code comparison. Physical Review D, 90(8), 084014.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52387
Deposited By: Jason Perez
Deposited On:05 Dec 2014 16:19
Last Modified:09 Mar 2020 13:19

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