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Quasinormal modes in the field of a dyon-like dilatonic black hole corresponding to A1 + A1 Toda chain

Abstract

We explore the quasinormal modes of a massless test scalar field in the gravitational background of a non-extremal dilatonic dyonic black hole. The dyon-like black hole solution is considered within a four-dimensional gravitational model that includes two scalar fields and two 2-forms. It is governed by two dilatonic coupling vectors λ⃗s (with s=1,2) that satisfy λ⃗1 = λ⃗2 = λ⃗ and λ⃗2 = 1/2. We derive and examine the quasinormal modes of a massless scalar test field in the eikonal limit. These modes are governed by the solution parameters μ> 0, P1 > 0, and P2 > 0. In the two limiting scenarios -- namely P1 = P2 = 0 and P1 = P2 = P > 0 -- our results reduce exactly to the known (eikonal) quasinormal spectra for the Schwarzschild and Reissner-Nordström black holes, respectively. Numerical higher-order WKB analysis of quasinormal frequencies for two lower levels (for various values of parameters) is also presented.

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BibTeX
@misc{kayumov2026quasinormal,
  title = {{Quasinormal modes in the field of a dyon-like dilatonic black hole corresponding to $A_1 + A_1$ Toda chain}},
  author = {U. S. Kayumov and S. V. Bolokhov and V. D. Ivashchuk and A. N. Malybayev and G. S. Nurbakova},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.22999},
  eprint = {2609.22999},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.22999},
}
RIS
TY  - UNPB
TI  - Quasinormal modes in the field of a dyon-like dilatonic black hole corresponding to A_1 + A_1 Toda chain
AU  - U. S. Kayumov
AU  - S. V. Bolokhov
AU  - V. D. Ivashchuk
AU  - A. N. Malybayev
AU  - G. S. Nurbakova
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2609.22999
UR  - https://arxiv.org/abs/2609.22999
AB  - We explore the quasinormal modes of a massless test scalar field in the gravitational background of a non-extremal dilatonic dyonic black hole. The dyon-like black hole solution is considered within a four-dimensional gravitational model that includes two scalar fields and two 2-forms. It is governed by two dilatonic coupling vectors λ⃗_s (with s=1,2) that satisfy λ⃗_1 = λ⃗_2 = λ⃗ and λ⃗^2 = 1/2. We derive and examine the quasinormal modes of a massless scalar test field in the eikonal limit. These modes are governed by the solution parameters μ> 0, P_1 > 0, and P_2 > 0. In the two limiting scenarios -- namely P_1 = P_2 = 0 and P_1 = P_2 = P > 0 -- our results reduce exactly to the known (eikonal) quasinormal spectra for the Schwarzschild and Reissner-Nordström black holes, respectively. Numerical higher-order WKB analysis of quasinormal frequencies for two lower levels (for various values of parameters) is also presented.
ER  -