与非奇异脉动坍缩相关的稳态旋转几何
Stationary Rotating Geometries Associated with Nonsingular Pulsating Collapse
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中文总结 AI 辅助
该研究构建了与非奇异脉动坍缩内模型相关的稳态旋转外几何，验证其在修正可忽略时退化为克尔等经典解，还分析了其热响应并识别奇异点、构建了扩展热力学关系。
中文摘要 AI 辅助
自广义相对论（GR）的首个精确解被获得以来，该理论预言了一类新型致密天体：黑洞。霍金-彭罗斯奇点定理表明，在适当假设下，GR中的引力坍缩会导致奇异行为。鉴于这类 regime 需超越经典 GR 的物理，受圈量子宇宙学（LQC）和膜世界场景启发的有效方法引入了高密度修正。本研究考虑了由 Gao、Lu、Shen 和 Faraoni 提出的稳态外几何，其对应共动内模型，该模型通过一系列坍缩与反弹阶段避免了奇点。采用 Azreg-Aïnou 形式的 Newman-Janis 算法，我们构建了该几何的稳态旋转外延展。所得线元描述了稳态轴对称旋转时空，当量子/膜世界修正可忽略（$l\to 0$）时，其视界几何、角速度、表面引力和霍金温度恢复克尔（Kerr）与史瓦西（Schwarzschild）极限。我们进一步分析了固定旋转态空间参数下的热响应，识别出戴维斯型奇异点，并构建了扩展热力学态空间关系。
英文摘要
Since the first exact solutions of General Relativity (GR) were obtained, it became clear that the theory predicts a new class of compact objects: black holes. The Hawking--Penrose singularity theorems show that, under appropriate assumptions, gravitational collapse in GR leads to singular behavior. Motivated by the expectation that such regimes require physics beyond classical GR, effective approaches inspired by Loop Quantum Cosmology (LQC) and braneworld scenarios introduce high-density corrections. In this work we consider the static exterior geometry introduced by Gao, Lu, Shen, and Faraoni, associated with a comoving interior model in which the singularity is avoided through a sequence of collapse and bounce phases. Using the Newman--Janis algorithm in the Azreg-Aïnou formulation, we construct a stationary rotating exterior extension of this geometry. The resulting line element describes a stationary axisymmetric rotating spacetime whose horizon geometry, angular velocity, surface gravity, and Hawking temperature recover the Kerr and Schwarzschild limits when the quantum/braneworld correction becomes negligible ($l\to 0$). We further analyze the thermal response at fixed rotational state-space parameter, identify Davies-type singular points, and formulate an extended thermodynamic state-space relation.
发表机构
- Federal University of Campina Grande（坎皮纳格兰德联邦大学）
- State University of Campina Grande（坎皮纳格兰德州立大学）
机构由 AI 辅助整理，请以论文原文为准。
