标题： 黑洞微扰有效场论中具有类时标量轮廓的潮汐爱数 显示英文标题

标题： Tidal Love Numbers from EFT of Black Hole Perturbations with Timelike Scalar Profile

摘要： 我们研究了静态球对称黑洞在奇数宇称度规扰动下的静态潮汐爱数（TLNs）。 我们用有效场论（EFT）来描述黑洞扰动，该理论是在任意背景上构建的，并在标量-张量理论背景下具有类时标量轮廓。 特别是，我们通过修正引力参数逐阶求解广义Regge-Wheeler方程，并通过将多极指数 $\ell$ 解析延拓到非整数值来唯一地提取TLNs。 对于隐形Schwarzschild黑洞，TLNs与广义相对论中的Schwarzschild解一样为零。 我们还以Hayward黑洞为例研究了非隐形背景的情况，在这种情况下，我们发现TLNs是非零的（或者存在对数发散）。 这一结果表明，我们的EFT允许非零TLNs，并且原则上可以在入射双星系统的引力波中留下可探测的印记，这为强场环境下检验引力打开了新的窗口。 显示英文摘要

摘要： We study static tidal Love numbers (TLNs) of a static and spherically symmetric black hole for odd-parity metric perturbations. We describe black hole perturbations using the effective field theory (EFT), formulated on an arbitrary background with a timelike scalar profile in the context of scalar-tensor theories. In particular, we obtain a static solution for the generalized Regge-Wheeler equation order by order in a modified-gravity parameter and extract the TLNs uniquely by analytic continuation of the multipole index $\ell$ to non-integer values. For a stealth Schwarzschild black hole, the TLNs are vanishing as in the case of Schwarzschild solution in general relativity. We also study the case of Hayward black hole as an example of non-stealth background, where we find that the TLNs are non-zero (or there is a logarithmic running). This result suggests that our EFT allows for non-vanishing TLNs and can in principle leave a detectable imprint on gravitational waves from inspiralling binary systems, which opens a new window for testing gravity in the strong-field regime.