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Quasinormal Modes of a Rotating Hořava Black Hole: Two Perturbative Approaches to Nonseparability — arXiv:2610.38428

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.38428
License (as archived): CC0-1.0
Archived: 2026-11-01T02:57:02.076Z
SHA-256 of the archived text: c3c2b5a9e7f3bf7864831f9610ea478bdc01104288912338c38619b79b098248
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How to cite

Quasinormal Modes of a Rotating Hořava Black Hole: Two Perturbative Approaches to Nonseparability — arXiv:2610.38428 — arXiv (en), https://arxiv.org/abs/2610.38428 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_dbbec36d807c (Metraipolis archive dc_dbbec36d807c, sha256 c3c2b5a9e7f3bf7864831f9610ea478bdc01104288912338c38619b79b098248)

BibTeX

@misc{dcdbbec36d807c,
  title = {Quasinormal Modes of a Rotating Hořava Black Hole: Two Perturbative Approaches to Nonseparability — arXiv:2610.38428},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.38428},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_dbbec36d807c; sha256 c3c2b5a9e7f3bf7864831f9610ea478bdc01104288912338c38619b79b098248},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.38428. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Quasinormal modes (QNMs) provide a powerful probe of strong-field gravity. We study fundamental scalar quasinormal modes of an asymptotically flat rotating black hole in the low-energy sector of Hořava gravity, whose exact scalar equation is nonseparable due to rotation-induced Lorentz violation. We develop two complementary approximations that both preserve the exact Kerr sector: Method I applies a slow-rotation approximation only to the nonseparable Lorentz-violating part, whereas Method II employs a small-$\eta$ biorthogonal spheroidal projection, with $\eta$ the Lorentz-violating parameter. Using residual-controlled continuation and symmetric finite differences, validated by a Kerr continued-fraction benchmark and an independent radial spectral method, we compute the linear frequency response. Axisymmetric modes provide an exact Kerr null test. For the corotating modes studied, the real-frequency response is positive and increases with spin. At $a/M=0.9$, the two methods reveal a roughly $2\%$ angular correction to the real response, while the imaginary response is nonmonotonic and highly sensitive to angular projection due to internal cancellation. These results highlight the distinct rotational signatures of Lorentz violation in black-hole ringdown.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2610.38428 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-01T02:22:58.283Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).