Lorentz violation induces isospectrality breaking in Einstein-Bumblebee gravity theory
arxiv(2024)
摘要
In this paper, 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.
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