Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

Fuente: arXiv
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Autori principali: Long, Sheng, Xia, Zhong-wu, Gong, Huajie, Cao, Zhoujian, Pan, Qiyuan, Jing, Jiliang
Natura: Preprint
Pubblicazione: 2026
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author Long, Sheng
Xia, Zhong-wu
Gong, Huajie
Cao, Zhoujian
Pan, Qiyuan
Jing, Jiliang
author_facet Long, Sheng
Xia, Zhong-wu
Gong, Huajie
Cao, Zhoujian
Pan, Qiyuan
Jing, Jiliang
contents Extreme mass-ratio inspirals (EMRIs), with their long-lived and highly relativistic orbital evolution, can probe strong-field spacetime geometry and provide an important means to test general relativity. In this work, we investigate EMRI waveforms in a Schwarzschild-like black hole spacetime arising in bumblebee gravity, where Lorentz symmetry breaking (LSB) is characterized by a dimensionless parameter $\ell$. We construct EMRI waveforms within the Augmented Analytic Kludge (AAK) framework using the modified orbital frequencies and fluxes. We find that $\ell$ significantly affects the orbital evolution and thereby modifies the waveform. These modifications grow with increasing $\ell$ and are further enhanced for more eccentric orbits. Furthermore, using Bayesian analysis, we obtain the posterior distributions of EMRI with the parameter $\ell$ included. Our results show that all injected source parameters are recovered within their $1\,σ$ credible intervals. We find that the bumblebee parameter $\ell$ can be constrained with an uncertainty of order $\mathcal{O}(10^{-4})$ by LISA.
format Preprint
id arxiv_https___arxiv_org_abs_2605_05362
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals
Long, Sheng
Xia, Zhong-wu
Gong, Huajie
Cao, Zhoujian
Pan, Qiyuan
Jing, Jiliang
General Relativity and Quantum Cosmology
Extreme mass-ratio inspirals (EMRIs), with their long-lived and highly relativistic orbital evolution, can probe strong-field spacetime geometry and provide an important means to test general relativity. In this work, we investigate EMRI waveforms in a Schwarzschild-like black hole spacetime arising in bumblebee gravity, where Lorentz symmetry breaking (LSB) is characterized by a dimensionless parameter $\ell$. We construct EMRI waveforms within the Augmented Analytic Kludge (AAK) framework using the modified orbital frequencies and fluxes. We find that $\ell$ significantly affects the orbital evolution and thereby modifies the waveform. These modifications grow with increasing $\ell$ and are further enhanced for more eccentric orbits. Furthermore, using Bayesian analysis, we obtain the posterior distributions of EMRI with the parameter $\ell$ included. Our results show that all injected source parameters are recovered within their $1\,σ$ credible intervals. We find that the bumblebee parameter $\ell$ can be constrained with an uncertainty of order $\mathcal{O}(10^{-4})$ by LISA.
title Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2605.05362