تقرير
On the five-dimensional non-extremal Reissner-Nordstr\'{o}m black hole: Retractions and scalar quasibound states
| العنوان: | On the five-dimensional non-extremal Reissner-Nordstr\'{o}m black hole: Retractions and scalar quasibound states |
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| المؤلفون: | Abu-Saleem, M., Vieira, H. S., Borges, L. H. C. |
| المصدر: | Universe 10, 267 (2024) |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, Mathematics - Geometric Topology, 54C15, 58E10, 81Q05, 83C45, 83C57, 83C75 |
| الوصف: | In this paper, we examine the role played by topology, and some specific boundary conditions as well, on the physics of a higher-dimensional black hole. We analyze the line element of a five-dimensional non-extremal Reissner-Nordstr\"{o}m black hole to obtain a new family of subspaces that are types of strong retractions and deformations, and then we extend these results to higher dimensions in order to deduce the relationship between various types of transformations. We also study the scalar field perturbations in the background under consideration and obtain an analytical expression for the quasibound state frequencies by using the Vieira-Bezerra-Kokkotas approach, which uses the polynomial conditions of the general Heun functions, and then we discuss the stability of the system and present the radial eigenfunctions. Our main goal is to discuss the physical meaning of these mathematical applications in such higher-dimensional effective metric. Comment: 17 pages, 4 figures. Matches published version in Universe |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/universe10060267 |
| URL الوصول: | http://arxiv.org/abs/2310.08518 |
| رقم الأكسشن: | edsarx.2310.08518 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/universe10060267 |
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