Asymptotic quasinormal frequencies of different spin fields in d-dimensional spherically-symmetric black holes
- 3 February 2022
- journal article
- research article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 39 (5), 055001
- https://doi.org/10.1088/1361-6382/ac4955
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 → ∞ generally fixes
and allows for the unbounded growth of
in fixed quantities.
Funding Information
- Ministry of Science and Technology, Taiwan (MOST108-2112-M-032-002 and MOST109-2112-M-032-007)
- National Research Foundation of South Africa
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