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Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity

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arxiv 2302.01580 v3 pith:P56SOQKA submitted 2023-02-03 gr-qc hep-th

Chikun Ding , Yu Shi , Jun Chen , Yuebing Zhou , Changqing Liu , Yuehua Xiao This is my paper · ORCID
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keywords blackholebumblebeefieldbtz-likecentralchargescoupling
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abstract

We obtain an exact rotating BTZ-like black hole solution by solving the corresponding gravitational field equations and the bumblebee motion equations in Einstein-bumblebee gravity theory. Result is presented for the purely radial Lorentz symmetry violating and can only exist with a linear functional potential of the bumblebee field. This black hole has two horizons and an ergosphere which are dependent on the bumblebee coupling constant $\ell$. The concepts of the area and volume of the horizon should be renewed in this LV spacetime due to the nontrivial contribution of coupling between the bumblebee field and the Ricci tensor. Only in this way, the entropy-area relation, first law of thermodynamics and the Smarr formula can still be constructed. We also study the AdS/CFT correspondence of this black hole, find that the entropy product of its inner and outer horizons is universal. So the central charges of the dual CFT on the boundary can be obtained via the thermodynamic method, and they can reappear black hole mass and angular momentum in the bulk.

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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. 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.

  2. 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...

  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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