On the late-time tails of massive perturbations in spherically symmetric black holes
Abstract It was first pointed out by Koyama and Tomimatsu that, under reasonable assumptions, the asymptotic late-time tails of massive scalar perturbations in the far zone of spherically symmetric black hole spacetimes decay universally as $$t^{-5/6}$$ t - 5 / 6 . The late-time tail is furnished by...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10910-z |
| _version_ | 1811336415051513856 |
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| author | Wei-Liang Qian Kai Lin Cai-Ying Shao Bin Wang Rui-Hong Yue |
| author_facet | Wei-Liang Qian Kai Lin Cai-Ying Shao Bin Wang Rui-Hong Yue |
| author_sort | Wei-Liang Qian |
| collection | DOAJ |
| description | Abstract It was first pointed out by Koyama and Tomimatsu that, under reasonable assumptions, the asymptotic late-time tails of massive scalar perturbations in the far zone of spherically symmetric black hole spacetimes decay universally as $$t^{-5/6}$$ t - 5 / 6 . The late-time tail is furnished by the contribution from the branch cut of the frequency-domain Green’s function, which is constructed in terms of two appropriate solutions of the corresponding homogeneous equation. The present study focuses on some particular forms of the in-going wave that were not explicitly considered in the original derivations but nonetheless have been taken into account in the literature by other authors. In this regard, we reassess the authors’ arguments and provide a detailed complimentary analysis that covers a few specific aspects. For some particular cases, the tail is found to possess the form $$t^{-1}$$ t - 1 . We also discuss the possible implications of the present findings. |
| first_indexed | 2024-04-13T17:39:08Z |
| format | Article |
| id | doaj.art-d1de10e9fd184cff8e7e4816fa4f20b4 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T17:39:08Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-d1de10e9fd184cff8e7e4816fa4f20b42022-12-22T02:37:16ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-10-01821011210.1140/epjc/s10052-022-10910-zOn the late-time tails of massive perturbations in spherically symmetric black holesWei-Liang Qian0Kai Lin1Cai-Ying Shao2Bin Wang3Rui-Hong Yue4Center for Gravitation and Cosmology, School of Physical Science and Technology, Yangzhou UniversityEscola de Engenharia de Lorena, Universidade de São PauloMOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF, and School of Physics, Huazhong University of Science and TechnologyCenter for Gravitation and Cosmology, School of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, School of Physical Science and Technology, Yangzhou UniversityAbstract It was first pointed out by Koyama and Tomimatsu that, under reasonable assumptions, the asymptotic late-time tails of massive scalar perturbations in the far zone of spherically symmetric black hole spacetimes decay universally as $$t^{-5/6}$$ t - 5 / 6 . The late-time tail is furnished by the contribution from the branch cut of the frequency-domain Green’s function, which is constructed in terms of two appropriate solutions of the corresponding homogeneous equation. The present study focuses on some particular forms of the in-going wave that were not explicitly considered in the original derivations but nonetheless have been taken into account in the literature by other authors. In this regard, we reassess the authors’ arguments and provide a detailed complimentary analysis that covers a few specific aspects. For some particular cases, the tail is found to possess the form $$t^{-1}$$ t - 1 . We also discuss the possible implications of the present findings.https://doi.org/10.1140/epjc/s10052-022-10910-z |
| spellingShingle | Wei-Liang Qian Kai Lin Cai-Ying Shao Bin Wang Rui-Hong Yue On the late-time tails of massive perturbations in spherically symmetric black holes European Physical Journal C: Particles and Fields |
| title | On the late-time tails of massive perturbations in spherically symmetric black holes |
| title_full | On the late-time tails of massive perturbations in spherically symmetric black holes |
| title_fullStr | On the late-time tails of massive perturbations in spherically symmetric black holes |
| title_full_unstemmed | On the late-time tails of massive perturbations in spherically symmetric black holes |
| title_short | On the late-time tails of massive perturbations in spherically symmetric black holes |
| title_sort | on the late time tails of massive perturbations in spherically symmetric black holes |
| url | https://doi.org/10.1140/epjc/s10052-022-10910-z |
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