Analytical proof of the isospectrality of quasinormal modes for Schwarzschild-de Sitter and Schwarzschild-Anti de Sitter spacetimes
arXiv:1906.05633 · doi:10.1007/s10714-020-02737-4
Abstract
The deep reason why the equations describing axial and polar perturbations of Schwarzschild black holes have the same spectrum is far from trivial. In this article, we revisit the original proof and try to make it clearer. Still focusing on uncharged and non-rotating black holes, we extend the results to spacetimes including a cosmological constant, which have so far mostly been investigated numerically from this perspective.
References in corpus (19)
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- Quasi-Normal Modes of Stars and Black Holes
- Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
- Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
- Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior
- Parametrized black hole quasinormal ringdown. I. Decoupled equations for nonrotating black holes
- Strong cosmic censorship in de Sitter space
- Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
- Quasi-normal modes of charged, dilaton black holes
- Strong cosmic censorship: taking the rough with the smooth
- A numerical study of the quasinormal mode excitation of Kerr black holes
- The Darboux transformation in black hole perturbation theory
- Quasinormal modes of weakly charged Einstein-Maxwell-dilaton black holes
- Quasinormal modes as a distinguisher between general relativity and f(R) gravity: Charged black-holes
- Kerr-(Anti-)de Sitter Black Holes: Perturbations and quasi-normal modes in the slow rotation limit
- Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations
- Black hole quasinormal modes in the era of LIGO
- A look at the generalized Darboux transformations for the quasinormal spectra in Schwarzschild black hole perturbation theory: just how general should it be?
- Quasinormal Modes of Lovelock Black Holes
Cited by in corpus (8)
- Breaking of isospectrality of quasinormal modes in nonrotating loop quantum gravity black holes
- Quasinormal modes of a nonsingular spherically symmetric black hole effective model with holonomy corrections
- Black hole quasinormal modes and isospectrality in Deser-Woodard nonlocal gravity
- Quasinormal modes of loop quantum black holes near the Planck scale
- Noncommutative quasinormal modes of Schwarzschild black hole
- Axial and polar modes for the ring down of a Schwarzschild black hole with an r dependent mass-function
- Pseudospectrum of Reissner-Nordström black holes: quasinormal mode instability and universality
- Scattering on Quasi-Spherical Black-Holes: Features and Beyond