Testing the nonlinear stability of Kerr-Newman black holes

Creators: Zilhão, Miguel; Cardoso, Vitor; Herdeiro, Carlos; Lehner, Luis; Sperhake, Ulrich

Abstract

The nonlinear stability of Kerr-Newman black holes (KNBHs) is investigated by performing numerical simulations within the full Einstein-Maxwell theory. We take as initial data a KNBH with mass M, angular momentum to mass ratio a and charge Q. Evolutions are performed to scan this parameter space within the intervals 0≤a/M≤0.994 and 0≤Q/M≤0.996, corresponding to an extremality parameter a/a_max (amax≡ √(M^2−Q^2)) ranging from 0 to 0.995. These KNBHs are evolved, together with a small bar-mode perturbation, up to a time of order 120M. Our results suggest that for small Q/a, the quadrupolar oscillation modes depend solely on a/a_max, a universality also apparent in previous perturbative studies in the regime of small rotation. Using as a stability criterion the absence of significant relative variations in the horizon areal radius and BH spin, we find no evidence for any developing instability.

Additional Information

© 2014 American Physical Society. Published 30 December 2014; Received 16 September 2014. We would like to thank Paolo Pani, Zachary Mark and Huan Yang for useful discussions. M. Z. is supported by NSF Grants No. OCI-0832606, No. PHY-0969855, No. AST-1028087, and No. PHY-1229173. V. C. acknowledges 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. L. L. acknowledges support by NSERC through a Discovery Grant and CIFAR. U.S. acknowledges support by the FP7-PEOPLE-2011-CIG CBHEO Grant No. 293412, the STFC Grant No. ST/I002006/1, the XSEDE Grant No. PHY-090003 by the NSF, the COSMOS Shared Memory system at DAMTP, University of Cambridge, operated on behalf of the DiRAC HPC Facility and funded by BIS National E-infrastructure capital Grants No. ST/J005673/1 and No. ST/J001341/1 and STFC Grants No. ST/H008586/1 and No. ST/K00333X/1, and the Centro de Supercomputacion de Galicia (CESGA) under Grant No. ICTS-2013-249. 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. V. C. and C. H. were supported by the NRHEP 295189 FP7-PEOPLE-2011-IRSES grant, and by FCT-Portugal through Projects No. PTDC/FIS/116625/2010 and No. CERN/FP/123593/2011 and the IF program. Computations were performed on the "Baltasar Sete-Sois" cluster at IST, the "Blafis" cluster at Universidade de Aveiro, the NICS Kraken Cluster, the SDSC Trestles Cluster, Cambridge's COSMOS, on the "venus" cluster at YITP, and CESGA's Finis Terrae.

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Published - PhysRevD.90.124088.pdf

Submitted - 1410.0694v2.pdf

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