Testing the nonlinear stability of Kerr-Newman black holes

Zilhão, Miguel, Cardoso, Vitor, Herdeiro, Carlos, Lehner, Luis and Sperhake, Ulrich (2014) Testing the nonlinear stability of Kerr-Newman black holes. Physical Review D, 90 (12). ISSN 1550-7998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.90.124088


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/amax (amax≡M2−Q2−−−−−−−−√) 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/amax, 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.

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