论文标题
Schwarzschild黑洞的静态反应和爱情数字
Static response and Love numbers of Schwarzschild black holes
论文作者
论文摘要
我们在施瓦茨柴尔德（Schwarzschild）上得出了无质体Spin-0，Spin-1和Spin-2扰动的物理自由度的二次作用 - （a）在任意维度中的DS背景。然后，我们使用这些结果来计算渐近平坦的Schwarzschild黑洞对外部场的静态响应。我们的分析重现了有关黑洞爱情数字的已知事实，特别是它们在四个时空维度中的所有类型的扰动中都消失了，但也会带来新的结果。例如，我们发现在有电磁背景的情况下，在任何数量的时空尺寸中，中性的施瓦茨柴尔兹黑孔极化。此外，我们首次计算了较高维度的矢量型重力扰动的黑洞爱情数字，并发现它们通常不会消失。一路上，我们阐明了文献中先前的结果之间的明显差异，并阐明了Schwarzschild背景上静态响应的扰动计算与点粒子有效理论之间匹配的某些方面
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
