摘要
In this study,we investigate the quasinormal modes(QNMs)of a Lorentz-violating spacetime,factoring in a cosmological constant,within the framework of Einstein-bumblebee gravity.Our findings reveal that the interaction of spacetime with an anisotropic bumblebee field imparts distinct contributions to the axial and polar sectors of the vector perturbations.This subsequently breaks the isospectrality typically observed in vector modes.Numerical evidence strongly indicates isospectral breaking in the vector modes of Einstein-bumblebee black holes:a pronounced breakage in the real part of the frequencies,while the imaginary component seems less affected.This isospectral breaking indicates the existence of two different waveforms in the Ringdown phase of the black hole,which provides a potential signal of quantum gravity observable in current experiments.
基金
supported by the National Natural Science Foundation of China(Grant Nos.12122504,12375046,and 12035005)
the Innovative Research Group of Hunan Province(Grant No.2024JJ1006)
the Natural Science Foundation of Hunan Province(Grant No.2023JJ30384)
Hunan Provincial Major Sci-Tech Program(Grant No.2023ZJ1010)。
