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- W2963065274 abstract "Abstract It is well known that the U(1) Reissner–Nordstrom black hole is stable within the framework of the Einstein–Maxwell theory. However, the SU(2) Reissner–Nordstrom black-hole solution of the coupled Einstein–Yang–Mills equations is known to be unstable. In fact, this magnetically charged black hole is characterized by an infinite set of unstable (growing in time) perturbation modes. In the present paper we study analytically the instability resonance spectrum of weakly-magnetized SU(2) Reissner–Nordstrom black holes. In particular, we obtain explicit analytical expressions for the infinite set { ω n } n = 0 n = ∞ of imaginary eigenvalues that characterize the instability growth rates of the perturbation modes. We discuss the role played by these unstable eigenvalues as critical exponents in the gravitational collapse of the Yang–Mills field. Finally, it is shown that our analytical formulas for the characteristic black-hole instability spectrum agree with new numerical data that recently appeared in the literature." @default.
- W2963065274 created "2019-07-30" @default.
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- W2963065274 date "2014-12-01" @default.
- W2963065274 modified "2023-09-25" @default.
- W2963065274 title "The instability spectrum of weakly-magnetized SU(2) Reissner–Nordström black holes" @default.
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- W2963065274 doi "https://doi.org/10.1016/j.physletb.2014.10.050" @default.
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