Static response and Love numbers of Schwarzschild black holes
Static response and Love numbers of Schwarzschild black holes
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DOI：
10.1088/1475-7516/2021/04/052
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发表时间：
2020-10
影响因子：
6.4
通讯作者：
L. Hui;A. Joyce;R. Penco;Luca Santoni;A. Solomon
中科院分区：
文献类型：
--
作者：
L. Hui;A. Joyce;R. Penco;Luca Santoni;A. Solomon
我们导出了任意维Schwarzschild-（A）dS背景上无质量自旋0，自旋1和自旋2扰动的物理自由度的二次作用量。然后，我们使用这些结果来计算渐近平坦的史瓦西黑洞的静态响应的外场。我们的分析再现了黑洞勒夫数的已知事实--特别是它们在四维时空中对所有类型的扰动都消失了--但也导致了新的结果。例如，我们发现中性史瓦西黑洞在除了四维以外的任何数量的时空维度中都存在电磁背景。此外，我们第一次计算了黑洞勒夫数的矢量型引力扰动在高维，并发现他们一般不消失。沿着的方式，我们揭示了一些在文献中以前的结果之间的明显的差异，并澄清一些方面的静态响应的史瓦西背景和点粒子有效理论的微扰计算之间的匹配。
We derive the quadratic action for the physical degrees of freedom of massless spin-0, spin-1, and spin-2 perturbations on a Schwarzschild-(A)dS background in arbitrary dimensions. We then use these results to compute the static response of asymptotically flat Schwarzschild black holes to external fields. Our analysis reproduces known facts about black hole Love numbers — in particular that they vanish for all types of perturbation in four spacetime dimensions — but also leads to new results. For instance, we find that neutral Schwarzschild black holes polarize in the presence of an electromagnetic background in any number of spacetime dimensions except four. Moreover, we calculate for the first time black hole Love numbers for vector-type gravitational perturbations in higher dimensions and find that they generically do not vanish. Along the way, we shed some light on an apparent discrepancy between previous results in the literature, and clarify some aspects of the matching between perturbative calculations of static response on a Schwarzschild background and the point-particle effective theory.