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Published October 15, 2011 | Published
Journal Article Open

Higher-dimensional puncture initial data

Abstract

We calculate puncture initial data, corresponding to single and binary black holes with linear momenta, which solve the constraint equations of D-dimensional vacuum gravity. The data are generated by a modification of the pseudospectral code presented in [ M. Ansorg, B. Bruegmann and W. Tichy Phys. Rev. D 70 064011 (2004)] and made available as the TwoPunctures thorn inside the Cactus computational toolkit. As examples, we exhibit convergence plots, the violation of the Hamiltonian constraint as well as the initial data for D=4,5,6,7. These initial data are the starting point to perform high-energy collisions of black holes in D dimensions.

Additional Information

© 2011 American Physical Society. Received 8 August 2011; published 18 October 2011. We thank Andrea Nerozzi and the anonymous referee for useful suggestions and discussions. M. Z. and H.W. are funded by FCT through Grants No. SFRH/BD/43558/2008 and SFRH/BD/46061/2008. U. S. acknowledges support from the Ramón y Cajal Programme of the Ministry of Education and Science of Spain, the FP7-PEOPLE-2011-CIG Grant CBHEO, No. 293412, NSF grants PHY-0601459, PHY-0652995, and the Sherman Fairchild Foundation to Caltech. This work was supported by the DyBHo–256667 ERC Starting Grant and by FCT— Portugal through projects PTDC/FIS/098025/2008, PTDC/FIS/098032/2008, PTDC/CTE-AST/098034/2008, and CERN/FP/116341/2010. This research was supported by an allocation through the TeraGrid Advanced Support Program under Grant No. PHY-090003, an allocation by the Centro de Supercomputación de Galicia (CESGA) under project ICTS-2009-40 and allocations at the Barcelona Supercomputing Center (BSC) under projects AECT-2011-2-0006 and AECT-2011-2-0015. Computations were performed on the TeraGrid clusters Kraken at the National Institute for Computational Sciences (NICS) of the University of Tennessee and Trestles at the San Diego Supercomputing Center (SDSC), the Milipeia cluster in Coimbra, Finis Terrae at the Supercomputing Center of Galicia (CESGA), the supercomputer Caesaraugusta at the Institute for Biocomputation and Physics of Complex Systems (BIFI) at the University of Zaragoza, HLRB2 of the Landesrechenzentrum (LRZ) in Munich, MareNostrum at the Barcelona Supercomputing Center in Barcelona, and on the Blafis cluster at the University of Aveiro.

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August 19, 2023
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