تقرير
Ladder operators and quasinormal modes in Ba\~{n}ados-Teitelboim-Zanelli black holes
| العنوان: | Ladder operators and quasinormal modes in Ba\~{n}ados-Teitelboim-Zanelli black holes |
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| المؤلفون: | Katagiri, Takuya, Kimura, Masashi |
| سنة النشر: | 2022 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, High Energy Physics - Theory |
| الوصف: | We study quasinormal modes (QNMs) of massive Klein-Gordon fields in static Ba\~{n}ados-Teitelboim-Zanelli (BTZ) black holes in terms of ladder operators constructed from spacetime conformal symmetries. Because the BTZ spacetime is locally isometric to the three-dimensional anti-de Sitter spacetime, ladder operators, which map a solution of the massive Klein-Gordon equation into that with different mass squared, can be constructed from spacetime conformal symmetries. In this paper, we apply the ladder operators to the QNMs of the Klein-Gordon equations in the BTZ spacetime. We demonstrate that the ladder operators can change indices of QNM overtones, and all overtone modes can be generated from a fundamental mode when we impose the Dirichlet or Neumann boundary condition at infinity. We also discuss the case with the Robin boundary condition. Comment: 32 pages, 5 figures, v2: minor revisions, v3: minor revisions, accepted for publication in Phys. Rev. D |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2205.15610 |
| رقم الأكسشن: | edsarx.2205.15610 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |