End Point of the Ultraspinning Instability and Violation of Cosmic Censorship
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Peer-reviewed
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Authors
Figueras, P
Kunesch, M
Lehner, L
Tunyasuvunakool, S
Abstract
We determine the end point of the axisymmetric ultraspinning instability of asymptotically flat Myers-Perry black holes in D = 6 spacetime dimensions. In the nonlinear regime, this instability gives rise to a sequence of concentric rings connected by segments of black membrane on the rotation plane. The latter become thinner over time, resulting in the formation of a naked singularity in finite asymptotic time and hence a violation of the weak cosmic censorship conjecture in asymptotically flat higher-dimensional spaces.
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Keywords
4902 Mathematical Physics, 5107 Particle and High Energy Physics, 49 Mathematical Sciences, 51 Physical Sciences
Journal Title
Physical Review Letters
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Journal ISSN
0031-9007
1079-7114
1079-7114
Volume Title
118
Publisher
American Physical Society
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Sponsorship
Science and Technology Facilities Council (ST/J005673/1)
Science and Technology Facilities Council (ST/K00333X/1)
Science and Technology Facilities Council (ST/L000636/1)
Science and Technology Facilities Council (ST/M007065/1)
Science and Technology Facilities Council (ST/P000673/1)
Science and Technology Facilities Council (ST/H008586/1)
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (690904)
Science and Technology Facilities Council (ST/K00333X/1)
Science and Technology Facilities Council (ST/L000636/1)
Science and Technology Facilities Council (ST/M007065/1)
Science and Technology Facilities Council (ST/P000673/1)
Science and Technology Facilities Council (ST/H008586/1)
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (690904)
We thank Roberto Emparan for discussions and Juha Jäykkä and Kacper Kornet for their technical support. We thank the grchombo team for the great collaboration. Part of the computations for this Letter were undertaken on the COSMOS Shared Memory system at DAMTP (University of Cambridge). COSMOS is operated on behalf of the STFC DiRAC HPC Facility and is funded by BIS National E-infrastructure capital Grant No. ST/ J005673/1 and STFC Grants No. ST/H008586/1, No. ST/ K00333X/1. We thankfully acknowledge the computer resources at MareNostrum and the technical support provided by Barcelona Supercomputing Center (FI-2016-3-0006 “New frontiers in numerical general relativity”). P. F. and S. T. are supported by the European Research Council Grant No. ERC-2014-StG 639022-NewNGR. P. F. is also supported by a Royal Society University Research Fellowship (Grant No. UF140319). M. K. is supported by an STFC studentship. L. L. is supported by NSERC, CIFAR and Perimeter Institute. This work has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant agreement No. 690904. P. F. and M. K. would like to thank Perimeter Institute for their hospitality during the final stages of this work. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development Canada, and by the Province of Ontario through the Ministry of Research and Innovation.