标题： 用紧凑双星测量标量电荷：自力的高精度建模 显示英文标题

标题： Measuring scalar charge with compact binaries: High accuracy modelling with self-force

摘要： 使用自力方法，我们提出了用于在具有无质量标量场非最小耦合到引力的理论中建模紧凑双星的首个后绝热精度形式化方法。我们将二元系统的次级天体限制为不自旋的紧凑天体且没有标量偶极子（我们将在一篇即将发表的论文中讨论自旋和标量偶极子的情况）。通过为标量电荷点粒子作用量提出一个假设，我们推导出次级紧凑天体的一阶和二阶微扰场方程和运动方程。在我们的假设下，实施此形式化方法将产生足够精确的波形模板，以便利用极端质量比吸积的LISA数据对次级的标量电荷进行精密测量。我们的形式化方法与几乎所有的标量-张量引力理论一致。实施我们的形式化方法建立在广义相对论中的自力模型之上；我们展示了将其纳入两时间尺度形式化方法是直接的。令人兴奋的是，实施过程并不比在广义相对论中计算一阶后绝热波形更具挑战性。 显示英文摘要

摘要： Using the self-force approach, we present the premier first-post-adiabatic accuracy formalism for modelling compact binaries in theories with a massless scalar field non-minimally coupled to gravity. We limit the binary secondary to being a non-spinning compact body with no scalar dipole (we will address the spinning and scalar dipole cases in an upcoming paper). By producing an ansatz for the scalar charged point particle action, we derive first- and second-order perturbative field equations and equations of motion for the secondary compact object. Under our assumptions, implementing this formalism will produce sufficiently accurate waveform templates for precision measurements of the scalar charge of the secondary with LISA data on extreme-mass-ratio inspirals. Our formalism is consistent with almost general scalar-tensor theories of gravity. Implementing our formalism builds on self-force models in General Relativity; we show the incorporation into the two-timescale formalism is straightforward. Excitingly, implementation poses no significantly more challenging barriers than computing first-post adiabatic waveforms in General Relativity.