引力波标准汽笛作为bumblebee引力中洛伦兹对称性破缺的探针
Gravitational Wave Standard Sirens as Probes of Lorentz Violation in Bumblebee Gravity
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中文总结 AI 辅助
该研究利用爱因斯坦望远镜的引力波标准汽笛数据，结合Ia型超新星信息，量化了其探测bumblebee引力中洛伦兹对称性破缺的灵敏度差距。
中文摘要 AI 辅助
引力波标准汽笛可直接测量光度距离，因此为在宇宙学尺度上检验引力提供了新途径。我们利用这一思路预测爱因斯坦望远镜（Einstein Telescope, ET）对bumblebee引力中洛伦兹对称性破缺的灵敏度，并研究加入Ia型超新星信息后预测结果的变化。类时bumblebee真空期望值会影响宇宙膨胀，且当它随红移演化时，还会影响引力波的传播振幅。我们使用包含1000个事件的模拟ET星表和类似Pantheon+的超新星样本，分别研究常场情况和演化场情况。超新星数据大幅改善了背景参数的约束：在常场情况下，哈勃常数H₀和物质密度参数Ωₘ的不确定度分别降低约4.4倍；在演化场情况下，二者的不确定度分别降低约1.6倍和6.2倍。相比之下，洛伦兹对称性破缺参数ℓ₀仍受先验主导，演化指数β仅由引力波部分约束。最佳预测精度Δℓ₀≈0.028，比GW170817给出的约束弱约4.7×10¹²倍，因此主要结果是量化的灵敏度差距而非预测探测。我们还在修正引力波传播的唯象(Ψ,n)描述中表达了该预测，以便与其他引力模型的标准汽笛研究直接对比。
英文摘要
Gravitational-wave standard sirens provide a direct measurement of luminosity distance and therefore offer a new way to test gravity over cosmological scales. We use this idea to forecast the sensitivity of the Einstein Telescope (ET) to Lorentz violation in Bumblebee gravity, and we examine how the forecast changes when Type~Ia supernova information is added. A timelike Bumblebee vacuum expectation value can affect the cosmic expansion and, when it evolves with redshift, the propagation amplitude of gravitational waves. We study a constant-field case and an evolving-field case using mock ET catalogues with $10^3$ events together with a Pantheon+-like supernova sample. The supernova data substantially improve the background parameters: in the constant-field case the uncertainties in $H_0$ and $Ω_m$ decrease by a factor of about $4.4$, while in the evolving-field case they decrease by factors of about $1.6$ and $6.2$, respectively. By contrast, the Lorentz-violating parameter $\ell_0$ remains prior dominated, and the evolution index $β$ is constrained only by the gravitational-wave sector. The best forecast precision, $Δ\ell_0\simeq0.028$, is about $4.7\times10^{12}$ times weaker than the bound implied by GW170817. The principal result is therefore a quantified sensitivity gap rather than a forecast detection. We also express the prediction in the phenomenological $(Ξ,n)$ description of modified gravitational-wave propagation, allowing direct comparison with standard-siren studies of other gravity models.
