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Pseudospectrum and Black Hole Quasinormal Mode Instability

2020

We study the stability of quasinormal modes (QNM) in asymptotically flat black hole spacetimes by means of a pseudospectrum analysis. The construction of the Schwarzschild QNM pseudospectrum reveals the following: (i) the stability of the slowest-decaying QNM under perturbations respecting the asymptotic structure, reassessing the instability of the fundamental QNM discussed by Nollert [H. P. Nollert, About the Significance of Quasinormal Modes of Black Holes, Phys. Rev. D 53, 4397 (1996)] as an "infrared" effect; (ii) the instability of all overtones under small-scale ("ultraviolet") perturbations of sufficiently high frequency, which migrate towards universal QNM branches along pseudospec…

High Energy Physics - TheoryperturbationcompactificationQC1-999[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]FOS: Physical sciencesGeneral Physics and AstronomyGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesInstabilityStability (probability)General Relativity and Quantum Cosmologyoperator: spectrumGeneral Relativity and Quantum CosmologyTheoretical physics0103 physical sciencesQuasinormal modestructurenumerical calculations010306 general physicsMathematical PhysicsPseudospectrumPhysicsCompactification (physics)[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]010308 nuclear & particles physicsPhysicsOperator (physics)black hole: stabilityMathematical Physics (math-ph)Schwarzschildquasinormal mode: spectrumBlack holeHigh Energy Physics - Theory (hep-th)[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]spectralSchwarzschild radiusPhysical Review X
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