标题： 复杂Powerballs：二次引力中量子黑洞的共形核心 显示英文标题

标题： Complex Powerballs: Conformal Cores of Quantum Black Holes in Quadratic Gravity

摘要： 我们探讨二次引力作为可重整化理论，是否描述量子黑洞的内部。 我们找到在球对称下纯二次引力的新精确幂律解，这些解是复数值的。 这些结果解被称为幂球，是没有视界的紧凑物体，在假想施瓦茨希尔德视界外的小距离（约普朗克长度量级）变得类似施瓦茨希尔德。 我们描述了全局永恒几何，其右侧和左侧外部分别是洛伦兹和欧几里得施瓦茨希尔德类似区域，而复数内部是一种螺旋时空形式。 我们计算了总有效作用量积分作为引力路径积分的鞍点，并讨论了其洛伦兹和欧几里得解释。 显示英文摘要

摘要： We explore the possibility that quadratic gravity, as a renormalizable theory, describes the interior of quantum black holes. We find new exact power-law solutions to pure quadratic gravity under spherical symmetry, which are complex valued. The resulting solutions, dubbed powerballs, are horizonless compact objects that become Schwarzschild-like a small distance (of the order of the Planck length) outside the would-be Schwarzschild horizon. We present a description of the global eternal geometry, whose right and left exteriors are Lorentzian and Euclidean Schwarzschild-like regions, respectively, while the complex interior is a form of spiraling spacetime. We compute the total on-shell action integral as a saddle point to a gravitational path integral and discuss the Lorentzian and Euclidean interpretations thereof.