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PreprintCC BY 4.0arXiv

Quasinormal modes of thick branes in f(R,T) gravity

Abstract

We study tensor perturbations and quasinormal modes (QNMs) of thick branes in f(R,T)=R+αT gravity. Starting from the background thick brane solutions, we derive the Schrödinger-like equation for gravitational perturbations and construct the corresponding effective potential. The effective potential exhibits a double-barrier structure whose properties depend on the model parameters. We analyze transmission spectra and find good agreement between resonance peaks and the real parts of the quasinormal frequencies. The parameters b and α mainly control the width and height of the potential barriers, respectively. QNMs are extracted using both time-domain evolution and direct integration methods, showing consistent results for low-lying modes. Higher overtones become increasingly difficult to extract due to stronger damping and numerical contamination. Our results indicate that f(R,T) corrections significantly affect both the effective potential and the quasinormal spectrum, providing a possible imprint of modified gravity in braneworld perturbations.

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BibTeX
@misc{yupeng2026quasinormal,
  title = {{Quasinormal modes of thick branes in $f(R,T)$ gravity}},
  author = {Yu-Peng E and Hai-Long Jia and Chun-Chun Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35096},
  eprint = {2610.35096},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35096},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quasinormal modes of thick branes in f(R,T) gravity
AU  - Yu-Peng E
AU  - Hai-Long Jia
AU  - Chun-Chun Zhu
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35096
UR  - https://arxiv.org/abs/2610.35096
AB  - We study tensor perturbations and quasinormal modes (QNMs) of thick branes in f(R,T)=R+αT gravity. Starting from the background thick brane solutions, we derive the Schrödinger-like equation for gravitational perturbations and construct the corresponding effective potential. The effective potential exhibits a double-barrier structure whose properties depend on the model parameters. We analyze transmission spectra and find good agreement between resonance peaks and the real parts of the quasinormal frequencies. The parameters b and α mainly control the width and height of the potential barriers, respectively. QNMs are extracted using both time-domain evolution and direct integration methods, showing consistent results for low-lying modes. Higher overtones become increasingly difficult to extract due to stronger damping and numerical contamination. Our results indicate that f(R,T) corrections significantly affect both the effective potential and the quasinormal spectrum, providing a possible imprint of modified gravity in braneworld perturbations.
ER  -