期刊
PHYSICAL REVIEW LETTERS
卷 114, 期 15, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.151101
关键词
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资金
- ERC Starting Grant [DyBHo-256667]
- STFC Ernest Rutherford [ST/K005391/1, ST/M004147/1]
- King's College, Cambridge
- European Research Council under the European Community's Seventh Framework Programme/ERC Grant [247252]
- Science and Technology Facilities Council [ST/K005391/1, ST/M004147/1, ST/J000434/1, ST/L000385/1, ST/L000636/1] Funding Source: researchfish
- STFC [ST/K005391/1, ST/J000434/1, ST/L000385/1, ST/M004147/1, ST/L000636/1] Funding Source: UKRI
We provide strong evidence that, up to 99.999% of extremality, Kerr-Newman black holes (KNBHs) are linear mode stable within Einstein-Maxwell theory. We derive and solve, numerically, a coupled system of two partial differential equations for two gauge invariant fields that describe the most general linear perturbations of a KNBH. We determine the quasinormal mode (QNM) spectrum of the KNBH as a function of its three parameters and find no unstable modes. In addition, we find that the lowest radial overtone QNMs that are connected continuously to the gravitational l = m = 2 Schwarzschild QNM dominate the spectrum for all values of the parameter space (m is the azimuthal number of the wave function and l measures the number of nodes along the polar direction). Furthermore, the (lowest radial overtone) QNMs with l = m approach Re omega = m Omega(ext)(H) and Im omega = 0 at extremality; this is a universal property for any field of arbitrary spin vertical bar s vertical bar <= 2 propagating on a KNBH background (omega is the wave frequency and Omega(ext)(H) the black hole angular velocity at extremality). We compare our results with available perturbative results in the small charge or small rotation regimes and find good agreement.
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