## QNMspectral

swMATH ID: | 28088 |

Software Authors: | Aron Jansen |

Description: | Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes. 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, independent 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. |

Homepage: | https://arxiv.org/abs/1709.09178 |

Source Code: | https://github.com/APJansen/QNMspectral |

Dependencies: | Mathematica |

Related Software: | Mathematica; Ringdown; HeunGPrime; HeunG; DLMF; GitHub; Maple; xTras; xPert |

Cited in: | 20 Publications |

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### Cited by 45 Authors

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### Cited in 6 Serials

12 | Journal of High Energy Physics |

3 | Physics Letters. B |

2 | Classical and Quantum Gravity |

1 | General Relativity and Gravitation |

1 | Advances in High Energy Physics |

1 | Communications in Theoretical Physics |

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