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PreprintCC BY 4.0arXiv

Asymptotic expansion of cavity Quasi-Normal Modes in Schwarzschild de-Sitter black hole

Abstract

We study large-overtone quasi-normal modes of a massive scalar field in a four-dimensional Schwarzschild de-Sitter black hole in the presence of a wall placed at the static sphere. Dirichlet boundary condition is imposed at the wall. At leading order the quasi-normal modes with large overtones scale as n for n≫ 1 and are inversely proportional to the bouncing time. We analyze correction terms up to n−1 order in the asymptotic expansion.

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BibTeX
@misc{saha2026asymptotic,
  title = {{Asymptotic expansion of cavity Quasi-Normal Modes in Schwarzschild de-Sitter black hole}},
  author = {Arnab Priya Saha and Prajwal Shivanna},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29243},
  eprint = {2609.29243},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29243},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Asymptotic expansion of cavity Quasi-Normal Modes in Schwarzschild de-Sitter black hole
AU  - Arnab Priya Saha
AU  - Prajwal Shivanna
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29243
UR  - https://arxiv.org/abs/2609.29243
AB  - We study large-overtone quasi-normal modes of a massive scalar field in a four-dimensional Schwarzschild de-Sitter black hole in the presence of a wall placed at the static sphere. Dirichlet boundary condition is imposed at the wall. At leading order the quasi-normal modes with large overtones scale as n for n≫ 1 and are inversely proportional to the bouncing time. We analyze correction terms up to n^−1 order in the asymptotic expansion.
ER  -