Testing the nonlinear stability of Kerr-Newman black holes

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 $0\le a/M\le 0.994$ and $0\le Q/M\le 0.996$, corresponding to an extremality parameter $a/a_{\max }$ ($a_{\max }\equiv \sqrt{M^2-Q^2}$) 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.

arXiv comment8 pages, 4 figures. v2: added references and minor updates to text; to appear in PRD

References in corpus (35)

• Quasinormal modes of black holes and black branes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• On the Numerical Integration of Einstein's Field Equations
• Evolutions in 3D numerical relativity using fixed mesh refinement
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Stationary Black Holes: Uniqueness and Beyond
• A Fast Apparent-Horizon Finder for 3-Dimensional Cartesian Grids in Numerical Relativity
• Initial Data for Numerical Relativity
• Beyond ideal MHD: towards a more realistic modeling of relativistic astrophysical plasmas
• Binary black-hole evolutions of excision and puncture data
• Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
• Finding Apparent Horizons in Numerical Relativity
• Multi-dimensional Numerical Scheme for Resistive Relativistic MHD
• Numerical Relativity and Astrophysics
• Gravito-Electromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit
• Bar-mode instability of rapidly spinning black hole in higher dimensions: Numerical simulation in general relativity
• Turbulent Black Holes
• Scalar, Electromagnetic and Gravitational Perturbations of Kerr-Newman Black Holes in the Slow-Rotation Limit
• Nonaxisymmetric instability of rapidly rotating black hole in five dimensions
• The Evolution of Distorted Rotating Black Holes III: Initial Data
• The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes
• Collisions of charged black holes
• Black Hole Superradiance in Dynamical Spacetime
• Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes
• Dynamical Bar Instability in Rotating Stars: Effect of General Relativity
• Gravity Waves from Kerr/CFT
• Beyond the Bowen-York extrinsic curvature for spinning black holes
• Collisions of oppositely charged black holes
• Collapse of Nonlinear Gravitational Waves in Moving-Puncture Coordinates
• Dynamical bar-mode instability in rotating and magnetized relativistic stars
• Initial data for superposed rotating black holes
• Quantitative mode stability for the wave equation on the Kerr-Newman spacetime
• Instability of the extreme Kerr-Newman black-holes
• A short remark (with a long title) on the universality of the quasinormal spectrum of near-extremal Kerr-Newman black holes

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• Numerical-relativity simulations of the quasi-circular inspiral and merger of non-spinning, charged black holes: methods and comparison with approximate approaches
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