标题： 引力波和伽马射线暴联合观测限制相互作用暗能量模型的前景 显示英文标题

标题： Prospects for constraining interacting dark energy models from gravitational wave and gamma ray burst joint observation

摘要： 借助电磁（EM）对应体的测量，引力波（GW）事件可以被视为标准汽笛。 作为一种新颖的宇宙学探针，引力波标准汽笛将对宇宙学带来重要意义。 在本文中，通过考虑引力波与相关$\gamma$射线暴（GRB）的同时探测，我们发现，在爱因斯坦望远镜和THESEUS卫星任务为期10年的观测中，只能检测到大约400个来自双中子星合并的明亮标准汽笛。 基于这个模拟样本，我们研究了引力波标准汽笛对暗能量与暗物质相互作用的影响。 在我们的分析中，考虑了四种可行的相互作用暗能量（IDE）模型，其相互作用形式为$Q=3\beta H \rho_{\mathrm{de}}$和$Q=3 \beta H \rho_{\mathrm{c}}$。 与传统的EM观测数据（如CMB、BAO和SN Ia）相比，引力波和EM观测的结合能够有效打破不同宇宙学参数之间的退化，并提供更严格的宇宙学拟合。 我们发现，对于$Q=3 \beta H \rho_{\mathrm{c}}$模型中的相互作用，引力波数据比$Q=3\beta H \rho_{\mathrm{de}}$模型中的更为重要。 我们还表明，基于不同的基准$H_0$值，用模拟引力波数据限制IDE模型会产生不同的结果，这表明准确确定$H_0$对于探索暗能量和暗物质之间的相互作用具有重要意义。 显示英文摘要

摘要： With the measurement of the electromagnetic (EM) counterpart, a gravitational wave (GW) event could be treated as a standard siren. As a novel cosmological probe, GW standard sirens will bring significant implications for cosmology. In this paper, by considering the coincident detections of GW and associated $\gamma$ ray burst (GRB), we find that only about 400 GW bright standard sirens from binary neutron star mergers could be detected in a 10-year observation of the Einstein Telescope and the THESEUS satellite mission. Based on this mock sample, we investigate the implications of GW standard sirens on the interaction between dark energy and dark matter. In our analysis, four viable interacting dark energy (IDE) models, with interaction forms $Q=3\beta H \rho_{\mathrm{de}}$ and $Q=3 \beta H \rho_{\mathrm{c}}$, are considered. Compared with the traditional EM observational data such as CMB, BAO, and SN Ia, the combination of both GW and EM observations could effectively break the degeneracies between different cosmological parameters and provide more stringent cosmological fits. We find that the GW data could play a more important role for determining the interaction in the models with $Q=3 \beta H \rho_{\mathrm{c}}$, compared with the models with $Q=3\beta H \rho_{\mathrm{de}}$. We also show that constraining IDE models with mock GW data based on different fiducial $H_0$ values yield different results, indicating that accurate determination of $H_0$ is significant for exploring the interaction between dark energy and dark matter.