Constraint on massive vector field with extreme-mass-ratio inspirals around a slowly rotating black hole

Fuente: arXiv
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Autori principali: Zi, Tieguang, Li, Peng-Cheng, Gu, Bao-Min, Shu, Fu-Wen
Natura: Preprint
Pubblicazione: 2025
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author Zi, Tieguang
Li, Peng-Cheng
Gu, Bao-Min
Shu, Fu-Wen
author_facet Zi, Tieguang
Li, Peng-Cheng
Gu, Bao-Min
Shu, Fu-Wen
contents We study the influence of a massive vector (Proca) field on the energy fluxes from extreme-mass-ratio inspirals (EMRIs) around a slowly rotating Kerr black hole. The secondary compact object, carrying a Proca hair, emits additional dipolar radiation that alters total energy flux relative to general relativity (GR). These modifications induce a secular drift in the orbital evolution of circular geodesic orbits, leading to measurable dephasing in the resulting EMRIs waveforms. By evaluating waveform mismatches between the Einstein-Proca framework and its GR counterpart, we show that the Laser Interferometer Space Antenna (LISA) can distinguish the signatures of a light Proca field when black hole rotation is included. Furthermore, using a Fisher information matrix analysis, we forecast LISA's capability to place stringent constraints on the Proca mass with EMRIs signal from slowly rotating Kerr black holes. For representative EMRIs configurations, we find that LISA can detect or constrain Proca masses down to $μ_v\sim 10^{-20}$eV, with typical fractional uncertainties at the level of tens percent, depending on the black-hole spin.
format Preprint
id arxiv_https___arxiv_org_abs_2511_18435
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Constraint on massive vector field with extreme-mass-ratio inspirals around a slowly rotating black hole
Zi, Tieguang
Li, Peng-Cheng
Gu, Bao-Min
Shu, Fu-Wen
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
We study the influence of a massive vector (Proca) field on the energy fluxes from extreme-mass-ratio inspirals (EMRIs) around a slowly rotating Kerr black hole. The secondary compact object, carrying a Proca hair, emits additional dipolar radiation that alters total energy flux relative to general relativity (GR). These modifications induce a secular drift in the orbital evolution of circular geodesic orbits, leading to measurable dephasing in the resulting EMRIs waveforms. By evaluating waveform mismatches between the Einstein-Proca framework and its GR counterpart, we show that the Laser Interferometer Space Antenna (LISA) can distinguish the signatures of a light Proca field when black hole rotation is included. Furthermore, using a Fisher information matrix analysis, we forecast LISA's capability to place stringent constraints on the Proca mass with EMRIs signal from slowly rotating Kerr black holes. For representative EMRIs configurations, we find that LISA can detect or constrain Proca masses down to $μ_v\sim 10^{-20}$eV, with typical fractional uncertainties at the level of tens percent, depending on the black-hole spin.
title Constraint on massive vector field with extreme-mass-ratio inspirals around a slowly rotating black hole
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2511.18435