论文标题
关于保姆的欧几里得动作，黑洞和受约束的激孔
On the Euclidean Action of de Sitter Black Holes and Constrained Instantons
论文作者
论文摘要
我们计算Schwarzschild-De保姆黑洞的壳纤维化作用，并使用约束Instantons的形式上考虑了它们在重力路径积分中的贡献。尽管欧几里得新洞的黑洞几何形状具有锥形质量的圆锥形奇异性，但它们的壳作用是有限的，并且被证明与欧几里得时间周期性无关，并且等于减去黑洞和宇宙学地平线熵的总和。我们将此结果应用于计算非旋转，中性任意的质量黑洞的概率，以在空的DE安位空间中自发成核，该空位将其分为常数和“非逆势”贡献，后者对应于Nariai限制中适当的鞍点Instanton。我们还推测结果的一些进一步应用，最著名的是对DE Sitter真空中相关器的潜在非扰动校正。
We compute the on-shell Euclidean action of Schwarzschild-de Sitter black holes, and take their contributions in the gravitational path integral into account using the formalism of constrained instantons. Although Euclidean de Sitter black hole geometries have conical singularities for generic masses, their on-shell action is finite and is shown to be independent of the Euclidean time periodicity and equal to minus the sum of the black hole and cosmological horizon entropy. We apply this result to compute the probability for a nonrotating, neutral arbitrary mass black hole to nucleate spontaneously in empty de Sitter space, which separates into a constant and a "non-perturbative" contribution, the latter corresponding to the proper saddle-point instanton in the Nariai limit. We also speculate on some further applications of our results, most notably as potential non-perturbative corrections to correlators in the de Sitter vacuum.
