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Lorentz violation induces isospectrality breaking in Einstein-Bumblebee gravity theory

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arxiv 2402.09686 v2 pith:PF53UB5H submitted 2024-02-15 gr-qc

classification gr-qc
keywords breakingeinstein-bumblebeegravitymodesvectorblackindicatesisospectral
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Probing Lorentz-violating effects via precession and accretion disk images of a rotating bumblebee black hole

    gr-qc 2026-04 conditional novelty 5.0 of 10

    Lorentz violation in a rotating bumblebee black hole suppresses Lense-Thirring precession, increases periastron precession, shrinks the inner shadow, and enhances the lensed ring while leaving the critical curve nearl...

  2. Boson Stars in Bumblebee Gravity and Their Gravitational Waveforms from Extreme-Mass-Ratio Inspirals

    gr-qc 2025-12 conditional novelty 5.0 of 10

    In bumblebee gravity, the Lorentz-violating parameter ℓ makes mini-boson stars more compact for positive ℓ and produces LISA-detectable, sustained EMRI waveforms for penetrating orbits.

  3. Taub-NUT-like Black Holes in Einstein-Bumblebee Gravity

    gr-qc 2025-05 conditional novelty 4.0 of 10

    A new Taub-NUT-like black hole solution in Einstein-Bumblebee gravity is constructed, and its thermodynamics is shown to obey the first law and the Smarr relation.

  4. Quasinormal Modes and Dynamical Evolution of Scalar Fields in the Einstein-Bumblebee Theory with a Cosmological Constant

    gr-qc 2025-02 conditional novelty 4.0 of 10

    For scalar perturbations of Einstein-Bumblebee black holes in de Sitter spacetime, increasing the Lorentz-violation parameter or the cosmological constant generally lowers the quasinormal mode frequency and damping rate.

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