{
  "abstract": "We investigate the gravitational-wave signatures of equatorial reflection symmetry breaking in extreme-mass-ratio inspirals (EMRIs) around a parity-violating conformal Kerr black hole. For the circular-orbit branch connected to equatorial Kerr orbits, we derive the dynamics through second order in the dimensionless deformation parameter $\\varepsilon$ and construct adiabatic inspirals and gravitational-wave signals using a mass-quadrupole prescription. Equatorial reflection maps $\\varepsilon$ to $-\\varepsilon$, making the polar displacement odd and the orbital frequency and energy even in the deformation. The induced first harmonic has a small direct contribution for the configurations studied, while second-order dynamical corrections accumulate over many cycles to produce appreciable dephasing. We find that rapid black-hole rotation enhances these phase effects and the associated noise-weighted waveform mismatch. For a one-year inspiral of a $10M_\\odot$ object into a $10^6M_\\odot$ black hole with $a/M=0.9$ and viewing inclination $ι=2π/3$, the fixed-parameter mismatch reaches the comparison benchmark $\\mathcal M=0.01$ at approximately $\\varepsilon=10^{-3}$, without optimization over time, phase, or Kerr parameters. A single-parameter Fisher analysis also indicates improved local sensitivity to $\\varepsilon$ at high spin. These results connect the reflection properties of the circular branch to accumulated source-phase effects and complement tests of propagation birefringence. The sensitivity estimates remain conditional on the adiabatic quadrupole model and the adopted comparison procedure; robust observational constraints require more accurate radiation modeling and a full parameter-estimation analysis.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25291",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhen-Bo Wu"
    },
    {
      "name": "Qing Ou"
    },
    {
      "name": "Peng-Cheng Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/acb51g5f1tbst.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25291",
  "fulltext_url": null,
  "id": "acb51g5f1tbst",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25291",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7223056370",
  "pdf_url": "https://arxiv.org/pdf/2610.25291",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/acb51g5f1tbst.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25291",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25291"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Probing parity-breaking black-hole geometry with extreme-mass-ratio inspirals",
  "title_text": "Probing parity-breaking black-hole geometry with extreme-mass-ratio inspirals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/acb51g5f1tbst",
  "venue": "arXiv",
  "versions": []
}