Quasinormal Modes of Charged Fields in Reissner-Nordstrom Backgrounds by Borel-Pade Summation of Bender-Wu Series
Autor: | Matthew Reece, Dan Stefan Eniceicu |
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Rok vydání: | 2019 |
Předmět: |
High Energy Physics - Theory
Physics 010308 nuclear & particles physics Computation Analytic continuation Perturbation (astronomy) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences Method of continued fractions General Relativity and Quantum Cosmology High Energy Physics - Theory (hep-th) 0103 physical sciences Bound state Quasinormal mode Padé approximant Resummation 010306 general physics Mathematical physics |
DOI: | 10.48550/arxiv.1912.05553 |
Popis: | We extend recent work of Hatsuda on the computation of quasinormal mode frequencies via analytic continuation of bound state energies and Borel-Pade resummation of the Bender-Wu perturbation series to the case of charged fields in the background of Reissner-Nordstrom black holes. We compare the quasinormal mode frequencies obtained in this manner to calculations using Leaver's method of continued fractions, and find good agreement for damped modes (DMs) with imaginary part remaining finite in the extremal limit. We also present numerical evidence that the frequencies of certain zero-damped modes (ZDMs) with imaginary part tending to zero in the extremal limit can be computed when constructing the Bender-Wu expansion about a peak of the potential inside the outer horizon of the black hole. Comment: v2: 31 pages, 12 figures. Added discussion of boundary conditions. Published in Phys Rev D |
Databáze: | OpenAIRE |
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