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Bumblebee radiation from neutral matter around a black hole

Abstract

We investigate bumblebee radiation generated by neutral matter orbiting a black hole with a radial spacelike vector vacuum. Starting from a point particle coupled minimally to the metric, we derive the curvature induced vector current and the potential response required by its conservation. For a localized circular source with no independent radial boundary current, this response gives δV'=ξρ/4. The axial vector source instead follows the radial transport of angular momentum and vanishes for circular motion. A slightly eccentric orbit excites an axial dipole at the orbital frequency Ω and a quadrupole contribution at 2Ω, with outgoing amplitudes proportional to ev3 and ev4, respectively, where v=√(M/a). We construct their retarded response and obtain the leading coefficients through weak field matching. Reconstruction of the observer's tidal tensor gives the dipole strain hr̂ϕ̂V,10=ξ2b2μev3sinθcos[Ω(t−R)]/(8πR). The corresponding partial luminosity is PB,10∞=ξ2b2μ2e2v12/(48πM2) at the leading order. Remarkably, the ordinary neutral matter produces an additional radial transverse tidal signal even when the homogeneous gravitational master operator remains in Schwarzschild form.

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BibTeX
@misc{filho2026bumblebee,
  title = {{Bumblebee radiation from neutral matter around a black hole}},
  author = {A. A. Araújo Filho},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05676},
  eprint = {2611.05676},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05676},
}
RIS
TY  - UNPB
TI  - Bumblebee radiation from neutral matter around a black hole
AU  - A. A. Araújo Filho
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.05676
UR  - https://arxiv.org/abs/2611.05676
AB  - We investigate bumblebee radiation generated by neutral matter orbiting a black hole with a radial spacelike vector vacuum. Starting from a point particle coupled minimally to the metric, we derive the curvature induced vector current and the potential response required by its conservation. For a localized circular source with no independent radial boundary current, this response gives δV'=ξρ/4. The axial vector source instead follows the radial transport of angular momentum and vanishes for circular motion. A slightly eccentric orbit excites an axial dipole at the orbital frequency Ω and a quadrupole contribution at 2Ω, with outgoing amplitudes proportional to ev^3 and ev^4, respectively, where v=√(M/a). We construct their retarded response and obtain the leading coefficients through weak field matching. Reconstruction of the observer's tidal tensor gives the dipole strain h_r̂ϕ̂^V,10=ξ^2b^2μev^3sinθcos[Ω(t−R)]/(8πR). The corresponding partial luminosity is P_B,10^∞=ξ^2b^2μ^2e^2v^12/(48πM^2) at the leading order. Remarkably, the ordinary neutral matter produces an additional radial transverse tidal signal even when the homogeneous gravitational master operator remains in Schwarzschild form.
ER  -