标题： 引力辐射由点粒子偏心双星系统在广义相对论线性化特征形式中的辐射 显示英文标题

标题： Gravitational radiation by point particle eccentric binary systems in the linearised characteristic formulation of general relativity

摘要： 我们研究了一个由不等质量点粒子组成的二元系统，在广义相对论特征形式的线性 regime 中，这些粒子处于偏心轨道上，推广了文献中之前的一项研究，该研究考虑的是质量相等的粒子在圆轨道上的系统。 我们还表明，由粒子轨道生成的类时世界管上的边界条件可以超越圆轨道。 关于引力波辐射所损失的能量，它是直接从 Bondi 的新闻函数得到的。 值得注意的是，我们的结果完全一致，因为我们以不同的方法在他们 1963 年的开创性论文中得到了相同的功率结果。 此外，本研究构成了在特征形式中构建提取方案的强大工具，以获得双星系统在旋近阶段产生的引力辐射。 显示英文摘要

摘要： We study a binary system composed of point particles of unequal masses in eccentric orbits in the linear regime of the characteristic formulation of general relativity, generalising a previous study found in the literature in which a system of equal masses in circular orbits is considered. We also show that the boundary conditions on the time-like world tubes generated by the orbits of the particles can be extended beyond circular orbits. Concerning the power lost by the emission of gravitational waves, it is directly obtained from the Bondi's News function. It is worth stressing that our results are completely consistent, because we obtain the same result for the power derived by Peters and Mathews, in a different approach, in their seminal paper of 1963. In addition, the present study constitutes a powerful tool to construct extraction schemes in the characteristic formalism to obtain the gravitational radiation produced by binary systems during the inspiralling phase.