标题： 相对论与动力学洛夫 显示英文标题

标题： Relativistic and Dynamical Love

摘要： 在双中子星后期旋进过程中发出的引力波会受到其潮汐形变的影响。 我们通过匹配渐近展开方法在完整的广义相对论框架下研究了潮汐动力学，并证明动态潮汐响应可以展开为一组完整的模式。 我们进一步证明，模式振幅满足一个有效的、受迫的谐振子方程，该方程推广了牛顿引力的重叠积分公式。 我们对动态潮汐的相对论处理将避免未来引力波参数估计中的系统性偏差。 显示英文摘要

摘要： Gravitational waves emitted in the late inspiral of binary neutron stars are affected by their tidal deformation. We study the tidal dynamics in full general relativity through matched-asymptotic expansions and prove that the dynamical tidal response can be expanded in a complete set of modes. We further prove that the mode amplitudes satisfy an effective, forced harmonic oscillator equation, which generalizes the overlap-integral formulation of Newtonian gravity. Our relativistic treatment of dynamical tides will avoid systematic biases in future gravitational-wave parameter estimation.