发表机构
Institute for Basic Science (IBS); Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS); Center for Geometry and Physics, Institute for Basic Science (IBS)（韩国基础科学研究所; 宇宙理论物理中心，韩国基础科学研究所; 几何与物理中心，韩国基础科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在Holst型庞加莱规范引力中引入三次挠率项，发现多种带挠率毛的静态球对称黑洞解，包括奇异与正则构型，并通过非线性挠率相互作用违反因果收敛条件以规避奇点定理。
AI 中文摘要
受庞加莱规范（PG）理论中奇点定理的启发，我们通过将基于曲率和挠率张量构造的三次阶不变量引入引力作用量，研究了Holst二次模型的扩展。此类模型的特征在于其动力学结构由赝标量模式主导，而挠率的其余不可约模式则通过非线性相互作用产生影响，这些相互作用可能对时空几何具有重要意义。特别地，与PG理论中其他著名模型一致，Birkhoff定理在一般情况下不成立，从而允许具有动力学挠率的新的精确静态球对称黑洞解。在涉及分析的不同挠率扇区（对应于挠率场的不可约模式和宇称分量）中，我们发现了奇异构型和正则构型。在奇异解中，我们获得了类Kiselev和类Boulware-Deser几何，以及具有不同代数修正和Lambert $W$度量修正的新几何。此外，我们发现了具有初级和次级挠率毛的正则黑洞，这些黑洞通过非线性挠率相互作用引起的因果收敛条件违反来规避奇点定理。因此，我们表明Holst型PG模型可以支持多种丰富的黑洞几何，同时为规避PG理论的奇点定理提供了明确的机制。
英文摘要
Motivated by the singularity theorems of Poincaré Gauge (PG) theory, we investigate extensions of the Holst quadratic model by introducing cubic order invariants constructed from the curvature and torsion tensors into the gravitational action. Such models are characterised by a kinetic structure that is governed by a pseudoscalar mode, whereas the remaining irreducible modes of torsion contribute through nonlinear interactions that can have important implications for the space-time geometry. In particular, in line with other well-known models of PG theory, the Birkhoff theorem does not hold in general, allowing for new exact static and spherically symmetric black hole solutions with dynamical torsion. Across the different torsion sectors, corresponding to the irreducible modes and parity components of the torsion field involved in the analysis, we find both singular and regular configurations. Among the singular solutions, we obtain Kiselev-like and Boulware-Deser-like geometries, as well as new geometries with distinct algebraic and Lambert $W$ metric corrections. In addition, we find regular black holes with both primary and secondary torsion hair, which evade the singularity theorems through violations of the causal convergence conditions induced by the nonlinear torsion interactions. Therefore, we show that Holst-type PG models can support a rich variety of black hole geometries, while providing explicit mechanisms for evading the singularity theorems of PG theory.
Comments38 pages, 3 figures
