Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes

Abstract

While Hod's conjecture is demonstrably restrictive, the link he observed between black hole (BH) area quantisation and the large overtone ($n$) limit of quasinormal frequencies (QNFs) motivated intense scrutiny of the regime, from which an improved understanding of asymptotic quasinormal frequencies (aQNFs) emerged. A further outcome was the development of the "monodromy technique", which exploits an anti-Stokes line analysis to extract physical solutions from the complex plane. Here, we use the monodromy technique to validate extant aQNF expressions for perturbations of integer spin, and provide new results for the aQNFs of half-integer spins within higher-dimensional Schwarzschild, Reissner-Nordström, and Schwarzschild (anti-)de Sitter BH spacetimes. Bar the Schwarzschild anti-de Sitter case, the spin-1/2 aQNFs are purely imaginary; the spin-3/2 aQNFs resemble spin-1/2 aQNFs in Schwarzschild and Schwarzschild de Sitter BHs, but match the gravitational perturbations for most others. Particularly for Schwarzschild, extremal Reissner-Nordström, and several Schwarzschild de Sitter cases, the application of $n\to \infty$ generally fixes $\mathbb{R}e\{\omega \}$ and allows for the unbounded growth of $\mathbb{I}m\{\omega \}$ in fixed quantities.

arXiv comment50 pages, 7 figures, and 6 tables. Updates include minor formatting, added commentary in the conclusions, and a revision of the extremal Reissner-Nordström discussion (section II-C2, results changed in section IV-B). Figure 8 has been removed and figure 3 has been refined. To appear in Classical and Quantum Gravity (CQG)

References in corpus (49)

• Supersymmetry and Quantum Mechanics
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• Quasinormal modes of black holes: from astrophysics to string theory
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Spectroscopy of the quantum black hole
• A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
• The physical interpretation of the spectrum of black hole quasinormal modes
• Supersymmetry as a Cosmic Censor
• Master equations for perturbations of generalised static black holes with charge in higher dimensions
• Stability of Higher-Dimensional Schwarzschild Black Holes
• Gravitational Radiation in D-dimensional Spacetimes
• Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations
• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• The asymptotic quasinormal mode spectrum of non-rotating black holes
• Asymptotic Quasinormal Frequencies for Black Holes in Non-Asymptotically Flat Spacetimes
• Quasinormal modes of maximally charged black holes
• Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes
• On the Kerr Quantum Area Spectrum
• Quantization of the electromagnetic field outside static black holes and its application to low-energy phenomena
• Perturbations and Stability of Static Black Holes in Higher Dimensions
• Supersymmetric Black Holes
• Quantum Entanglement in the Two Impurity Kondo Model
• Split fermion quasi-normal modes
• Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes
• Electromagnetic quasinormal modes of D-dimensional black holes
• A Detailed Analytic Study of the Asymptotic Quasinormal Modes of Schwarzschild-Anti De Sitter Black Holes
• Resonance and absorption spectra of the Schwarzschild black hole for massive scalar perturbations: a complex angular momentum analysis
• High frequency quasi-normal modes for black-holes with generic singularities
• High frequency quasi-normal modes for black holes with generic singularities II: Asymptotically non-flat spacetimes
• Scalar Perturbations of a Single-Horizon Regular Black Hole
• A comparative study of Dirac quasinormal modes of charged black holes in higher dimensions
• Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes
• Validity of the WKB Approximation in Calculating the Asymptotic Quasinormal Modes of Black Holes
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
• Spin-3/2 fields in $D$-dimensional Schwarzschild black hole space-times
• Highly Damped Quasinormal Modes and the Small Scale Structure of Quantum Corrected Black Hole Exteriors
• One-Loop Supergravity Corrections to the Black Hole Entropy and Residual Supersymmetry
• Highly-damped quasi-normal frequencies for piecewise Eckart potentials
• The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes
• Quasi-normal modes and absorption probabilities of spin-3/2 fields in $D$-dimensional Reissner-Nordström black hole spacetimes
• Master equations and Quasi-normal modes of spin-3/2 fields in Schwarzschild (A)dS black hole spacetimes
• Spin 1/2 quasinormal mode frequencies in Schwarzschild-AdS spacetime
• Gravitino and other spin-3/2 quasinormal modes in Schwarzschild-AdS spacetime
• A new (original) set of Quasi-normal modes in spherically symmetric AdS black hole spacetimes
• Spin-1 Quasi-normal Frequencies in Schwarzschild space-time for Large Overtone Number
• Universality of Highly Damped Quasinormal Modes for Single Horizon Black Holes

Cited by in corpus (1)

• Calculating quasinormal modes of Schwarzschild anti-de Sitter black holes using the continued fraction method