线性化爱因斯坦-卡特理论中的旋转魏森霍夫流体
Rotating Weyssenhoff fluids in linearized Einstein-Cartan theory
- Istituto Nazionale di Fisica Nucleare（意大利国家核物理研究所）
- Università degli Studi di Napoli “Federico II”（那不勒斯费德里科二世大学）
- Scuola Superiore Meridionale（南方高等学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究在线性化爱因斯坦-卡特理论中扩展了魏森霍夫流体模型至旋转情形，推导了外部度规，揭示了量子自旋与宏观旋转对引力场的影响，并探讨了陀螺仪进动等可观测效应。
AI中文摘要：
魏森霍夫流体通过考虑其组成粒子的内禀自旋，扩展了广义相对论中普通完美流体的描述。在线性化的爱因斯坦-卡特理论框架内，我们研究了孤立缓慢旋转的魏森霍夫流体（即同时具有宏观和微观角动量的源）所产生的外部几何。我们的工作是对Arkuszewski、Kopczyński和Ponomariev基础分析的扩展，该分析仅限于静态流体配置。在稳态和轴对称的假设下，我们推导了源的线性化应力-能量张量的显式表达式，并通过多极展开获得了相应的度规。所得解展现出广义的Lense-Thirring结构，其中引力电和引力磁部分都受到量子自旋和宏观旋转的影响。我们还讨论了该模型的一些现象学意义，包括陀螺仪进动和Sagnac效应，以及预测修正的潜在实验探测。
英文摘要：
The Weyssenhoff fluid expands the ordinary perfect-fluid description of general relativity by taking into account the intrinsic spin of its constituent particles. Within the linearized regime of Einstein-Cartan theory, we investigate the exterior geometry produced by isolated slowly rotating Weyssenhoff fluids, i.e., sources endowed with both macroscopic and microscopic angular momenta. Our work represents an extension of the foundational analysis of Arkuszewski, Kopczy{ń}ski and Ponomariev, which was restricted to the static fluid configuration. Under the assumptions of stationarity and axial symmetry, we derive the explicit expression for the linearized stress-energy tensor of the source and obtain the corresponding metric through a multipole expansion. The ensuing solution exhibits a generalized Lense-Thirring structure, with both the gravitoelectric and gravitomagnetic sectors affected by the quantum spin and macroscopic rotation. We also discuss some phenomenological implications of the model, including the gyroscope precession and the Sagnac effect, along with potential experimental probes of the predicted corrections.
