发表机构
Scuola Superiore Meridionale; INFN Sezione di Napoli; Department of Physics, Loyola Marymount University; Faculty of Space Research, Lomonosov Moscow State University（南方高等学院; 意大利国家核物理研究所那不勒斯分部; 洛约拉马利蒙特大学物理系; 莫斯科罗蒙诺索夫国立大学空间研究学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对前几何引力领域的经典黑洞奇点问题，利用对应原理推导球对称前几何黑洞的精确解，补充分析前几何版伯克霍夫定理，为黑洞几何的量子修正提供理论基础。
AI 中文摘要
前几何引力研究普朗克尺度附近时空的非度规特征，引力相互作用通过自发对称破缺机制作为低能有效理论产生。为修正黑洞几何中存在的经典奇点，本工作研究具有球对称性的前几何黑洞构型，利用对应原理给出真空下不同前几何理论的精确解，这些解是（反）德西特-施瓦西度规的前几何类似物，预期可从中演化出此类黑洞几何。其中一种情形的前几何解还具有普朗克尺度的（反）德西特核，主要结果补充了对前几何版本伯克霍夫定理的分析。
英文摘要
Pre-geometric Gravity investigates the non-metric features of spacetime near the Planck scale, from which the gravitational interaction arises as a low-energy effective theory via a mechanism of spontaneous symmetry breaking. With a view of amending the classical singularities found in black hole geometries, in this work we study pre-geometric black hole configurations with spherical symmetry, and present exact solutions for different pre-geometric theories in vacuum via the correspondence principle. These solutions are the pre-geometric analogue of the (anti-)de Sitter-Schwarzschild metric, from which such type of black hole geometry is thus expected to emerge. In one case, the pre-geometric solution also exhibits an (anti-)de Sitter core of Planckian size. The main result is supplemented with an analysis of the pre-geometric version of Birkhoff's theorem.
Comments2 figures; version accepted in PRD
