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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

Lorentz violation induces isospectrality breaking in Einstein-Bumblebee gravity theory

classification gr-qc
keywords breakingeinstein-bumblebeegravitymodesvectorblackindicatesisospectral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 7 Pith papers

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

  1. Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality

    gr-qc 2026-05 unverdicted novelty 7.0

    Bumblebee gravity perturbations decouple exactly into gravitational and vector sectors, with gravitational modes dynamically immune to Lorentz violation and odd-even parities strictly isospectral.

  2. Asymptotically-flat Black holes in Bumblebee gravity: Exact solutions and Thermodynamics

    gr-qc 2026-06 unverdicted novelty 6.0

    Exact solutions for asymptotically flat black holes in bumblebee gravity with temporal bumblebee field, analytic Y charge and X potential, and discovery of new cases including unbounded charge-mass ratio and wormhole ...

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

    gr-qc 2026-04 conditional novelty 5.0

    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...

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

    gr-qc 2025-12 conditional novelty 5.0

    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.

  5. Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

    gr-qc 2026-05 unverdicted novelty 4.0

    Extreme mass-ratio inspirals can constrain the Lorentz symmetry breaking parameter ℓ in bumblebee gravity to O(10^{-4}) uncertainty with LISA.

  6. Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

    gr-qc 2026-05 unverdicted novelty 4.0

    EMRI waveforms in bumblebee gravity allow LISA to constrain the Lorentz symmetry breaking parameter ell at the level of O(10^{-4}).

  7. Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

    gr-qc 2026-05 unverdicted novelty 4.0

    LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.