标题： 超越真空广义相对论的潮汐响应与规范定义 显示英文标题

标题： Tidal response beyond vacuum General Relativity with a canonical definition

摘要： 潮汐效应对致密天体提供了关于场方程结构的深刻理论见解，并是研究物质状态方程、黑洞本质和引力基础理论的绝佳探针。理解潮汐的自然框架是一种微扰方案。在这里，我们指出在该框架内确定潮汐响应函数时存在的歧义，如果计算量没有正确与可观测量联系起来，可能会在通过引力波观测约束物理参数时产生偏差。我们提出了一种规范潮汐响应函数（CTRF）定义，以便以统一的方式比较超出真空广义相对论理论中的潮汐值。作为例子，我们在各种引力理论中提供了黑洞的潮汐响应函数，包括保守项和耗散项。在此论文中考虑的大多数非爱因斯坦理论中，黑洞的潮汐耗散洛夫数首次被推导出来。 显示英文摘要

摘要： Tidal effects on compact objects provide profound theoretical insights into the structure of the field equations, and are wonderful probes of the equation of state of matter, the nature of black holes and of the underlying theory of gravity. The natural framework for understanding tides is a perturbative scheme. Here, we point out ambiguities in determining tidal response functions within such a framework, which may lead to bias in constraining physical parameters with gravitational-wave observations if the computed quantities are not properly linked to observables. We propose a Canonical Tidal Response Function (CTRF) definition to compare values of tides in theories beyond vacuum General Relativity in a unified manner. As an example, we provide black hole tidal response functions, including both conservative and dissipative pieces, in various theories of gravity. Tidal dissipation Love numbers for black holes are derived here for the first time in most of the non-Einsteinian theories considered in this paper.