# Analytic treatment of the excited instability spectra of the magnetically charged SU(2) Reissner-Nordström black holes

@article{Hod2017AnalyticTO,
title={Analytic treatment of the excited instability spectra of the magnetically charged SU(2) Reissner-Nordstr{\"o}m black holes},
author={Shahar Hod},
journal={Journal of High Energy Physics},
year={2017},
volume={2017},
pages={1-11}
}
• S. Hod
• Published 5 January 2017
• Physics
• Journal of High Energy Physics
A bstractThe magnetically charged SU(2) Reissner-Nordström black-hole solutions of the coupled nonlinear Einstein-Yang-Mills field equations are known to be characterized by infinite spectra of unstable (imaginary) resonances {ωn(r+, r−)}n = 0n = ∞ (here r± are the black-hole horizon radii). Based on direct numerical computations of the black-hole instability spectra, it has recently been observed that the excited instability eigenvalues of the magnetically charged black holes exhibit a simple…

## References

SHOWING 1-10 OF 59 REFERENCES

### Numerical evidence for universality in the excited instability spectrum of magnetically charged Reissner–Nordström black holes

It is well known that the SU(2) Reissner–Nordström black-hole solutions of the Einstein–Yang–Mills theory are characterized by an infinite set of unstable (imaginary) eigenvalues \{\omega

### Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations

The stability of Reissner-Nordstr\"om black holes under the influence of neutral perturbation fields was proved by Moncrief four decades ago. However, the superradiant scattering phenomenon, which

### Formation and decay of Einstein-Yang-Mills black holes

We study various aspects of black holes and gravitational collapse in Einstein-Yang-Mills theory under the assumption of spherical symmetry. Numerical evolution on hyperboloidal surfaces extending to

### Purely imaginary polar resonances of rapidly-rotating Kerr black holes

We prove the existence of a unique family of non-oscillatory (purely-imaginary) polar quasinormal resonances of rapidly-rotating Kerr black holes. These purely imaginary resonances can be expressed

### Stability of Reissner-Nordstrom black holes

Extending some previous work, we here consider the even-parity perturbations of the Reissner-Nordstr\"om family of black holes. Gauge-invariant functions of the gravitational and electromagnetic