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High-energy collision of black holes in higher dimensions

Sperhake, Ulrich and Cook, William and Wang, Diandian (2019) High-energy collision of black holes in higher dimensions. Physical Review D, 100 (10). Art. No. 104046. ISSN 2470-0010. doi:10.1103/physrevd.100.104046.

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We compute the gravitational wave energy E_(rad) radiated in head-on collisions of equal-mass, nonspinning black holes in up to (D=8)-dimensional asymptotically flat spacetimes for boost velocities v up to about 90% of the speed of light. We identify two main regimes: weak radiation at velocities up to about 40% of the speed of light, and exponential growth of E_(rad) with v at larger velocities. Extrapolation to the speed of light predicts a limit of 12.9% (10.1, 7.7, 5.5, 4.5)% of the total mass that is lost in gravitational waves in D=4 (5, 6, 7, 8) spacetime dimensions. In agreement with perturbative calculations, we observe that the radiation is minimal for small but finite velocities, rather than for collisions starting from rest. Our computations support the identification of regimes with super-Planckian curvature outside the black-hole horizons reported by Okawa, Nakao, and Shibata [Phys. Rev. D 83, 121501(R) (2011)].

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Sperhake, Ulrich0000-0002-3134-7088
Wang, Diandian0000-0001-6928-2729
Additional Information:© 2019 American Physical Society. Received 6 September 2019; published 21 November 2019. This work was supported by the European Union’s H2020 ERC Consolidator Grant “Matter and Strong-Field Gravity: New Frontiers in Einstein’s Theory,” Grant Agreement No. MaGRaTh-646597, funding from the European Union’s Horizon 2020 research and innovation program under Marie Skłodowska-Curie Grant Agreement No. 690904, COST Action Grant No. CA16104, from STFC Consolidator Grant No. ST/P000673/1, the SDSC Comet and TACC Stampede2 clusters through NSF-XSEDE Grant No. PHY-090003, and Cambridge’s CSD3 system through STFC Capital Grants No. ST/P002307/1 and No. ST/R002452/1 and STFC Operations Grant No. ST/R00689X/1. D. W. acknowledges support from a Trinity College Summer Research Fellowship. W. C. is supported by Simons Foundation Grant No. 548512, and the Princeton Gravity Initiative.
Funding AgencyGrant Number
European Research Council (ERC)646597
Marie Curie Fellowship690904
European Cooperation in Science and TechnologyCA16104
Science and Technology Facilities Council (STFC)ST/P000673/1
Science and Technology Facilities Council (STFC)ST/P002307/1
Science and Technology Facilities Council (STFC)ST/R002452/1
Science and Technology Facilities Council (STFC)ST/R00689X/1
Trinity CollegeUNSPECIFIED
Simons Foundation548512
Princeton UniversityUNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:20191121-095725670
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99979
Deposited By: Tony Diaz
Deposited On:21 Nov 2019 18:30
Last Modified:16 Nov 2021 17:50

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