Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes
By Aron Jansen. The European Physical Journal Plus, 2017
218 citations recorded by the source corpus.
We present a package for Mathematica that facilitates the numerical computation of the quasinormal mode (QNM) spectrum of a black hole/black brane. Requiring as input only the QNM equation(s), the application of a single Mathematica function will compute the spectrum efficiently, by discretizing the equation(s) and solving the resulting generalized eigenvalue equation. It is applicable to a large variety of black holes, independently of their asymptotics. The package comes fully documented and with several tutorials. Here we present a self-contained review of the method and consider several applications. We illustrate the method in the simplest case of scalar QNMs of a Schwarzschild black brane in anti-de Sitter. Then we go on to look at the scalar QNMs of the Schwarzschild black hole in de Sitter, in anti-de Sitter and in asymptotically flat spacetimes, finding a novel infinite set of purely imaginary modes in the first case. We also derive the QNM equations for a generic Einstein-Maxwell-scalar background and use these to compute the QNMs of the asymptotically anti-de Sitter Reissner-Nordström black brane, as a further illustration and check of the method.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/1da0e18220abecc65ace7cc6b500ed3ab1667f3a
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Citations in the corpus
- Pseudospectrum and Black Hole Quasinormal Mode Instability (2020, background): “This offers a rationale to establish and integrate diverse evidence in the literature, namely: i) the stability of the slowest decaying QNM (removing the existing tension about the observed stability of BH ringing-down frequencies), ii) the instability of highly-damped QNMs (wellknown in direct appr”