用 GW200105 和 GW200115 检验布兰斯-迪克理论

Qin Fei, Yingjie Yang
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引用次数: 0

摘要

我们研究了通过测量中子星-黑洞碰撞释放的引力波(GW)来约束布兰斯-迪克(BD)理论的可能性。考虑到通过单极和偶极辐射进行的标量场修正,我们发现了对发射引力波形的相位演化的额外贡献。在后牛顿阶有效计算了这种效应之后,我们就可以测量标量场,并给出BD耦合参数$\omega_{BD}$的边界。我们推导出了广义相对论和北斗七星理论中偏心双星轨道偏心率引起的相位修正的解析表达式。通过贝叶斯分析,我们从GW200105和GW200115事件中得到了对$\omega_{BD}$的约束。
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Test of Brans-Dicke theory with GW200105 and GW200115
We study the possibility to constrain the Brans-Dicke (BD) theory from the measurement of gravitational wave (GW) released in neutron star-black hole collisions. Considering the scalar field modifications through monopole and dipole radiations, we find additional contributions to the phase evolution in the emitted gravitational waveform. After effectively calculating such effect in the post-Newtonian order, we are in a position to measure the scalar field and give bounds on the BD coupling parameter $\omega_{BD}$. We derive the analytical expression for the phase modification due to the orbital eccentricity of eccentric binaries in both general relativity and BD theory. Employing the Bayesian analysis, we obtain the constraints on $\omega_{BD}$ from the GW events GW200105 and GW200115.
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