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QNMs of slowly rotating Einstein-Bumblebee Black Hole

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arxiv 2211.03156 v2 pith:SDD7CIOC submitted 2022-11-06 gr-qc

classification gr-qc
keywords parameterperturbationblackeinstein-bumblebeefrequenciesholelorentz-violatingqnms
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abstract

We have studied the quasinormal modes (QNMs) of a slowly rotating black hole with Lorentz-violating parameter in Einstein-bumblebee gravity. We analyse the slow rotation approximation of the rotating black hole in the Einstein-bumblebee gravity, and obtain the master equations for scalar perturbation, vector perturbation and axial gravitational perturbation, respectively. Using the matrix method and the continuous fraction method, we numerically calculate the QNM frequencies. In particular, for scalar field, it shows that the QNMs up to the second order of rotation parameter have higher accuracy. The numerical results show that, for both scalar and vector fields, the Lorentz-violating parameter has a significant effect on the imaginary part of the QNM frequencies, while having a relatively smaller impact on the real part of the QNM frequencies. But for axial gravitational perturbation, the effect of increasing the Lorentz-violating parameter $\ell$ is similar to that of increasing the rotation parameter $\tilde{a}$.

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Cited by 7 Pith papers

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

  1. Signatures of Lorentz violation in bright ring for Sgr A* images by radiation ineffective accretion flows

    astro-ph.HE 2026-08 conditional novelty 6.0 of 10

    For a rotating Lorentz-violating black hole, increasing the LV parameter shrinks and broadens Sgr A*'s image ring, and EHT data bound the parameter over a spin-dependent range.

  2. A no-go theorem in bumblebee vector-tensor cosmology

    hep-th 2025-09 conditional novelty 6.0 of 10

    Bumblebee gravity with non-minimal couplings is healthy only under the degeneracy σ=-ξ/2, which fixes the potential and yields a stealth de Sitter solution with scalar sound speed squared ≈1/6.

  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 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...

  4. 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.

  5. Exact Black Hole Solutions in Bumblebee Gravity with Lightlike or Spacelike VEVS

    gr-qc 2025-10 conditional novelty 5.0 of 10

    New exact Schwarzschild-like, (A)dS-like, and charged black holes in bumblebee gravity with a two-component vector VEV keep Lorentz-violating corrections even when the VEV is lightlike, with Wald and first-law entropi...

  6. 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.

  7. 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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