论文标题
庞加莱仪表重力理论中广义的伯克霍夫定理
Generalized Birkhoff theorem in the Poincaré gauge gravity theory
论文作者
论文摘要
Birkhoff定理对重力场方程的球形对称解的唯一性的有效性分析扩展到了PoincaréGaugeGravity理论的框架。考虑曲率和扭转的所有可能的二次不变式构建的阳米尔类型的Lagrangians的模型类别，包括奇偶校验和奇偶校验和奇偶校验。我们发现，通过使用双重二元技术，弱和强的Birkhoff定理的弱版本是有效的模型。
The analysis of the validity of Birkhoff's theorem about the uniqueness of the spherically symmetric solution of the gravitational field equations is extended to the framework of the Poincaré gauge gravity theory. The class of models with the most general Lagrangians of the Yang-Mills type constructed from all possible quadratic invariants of the curvature and the torsion is considered, including both parity-even and parity-odd sectors. We find the models in which the weak and strong versions of the generalized Birkhoff theorem are valid, by making use of the double duality technique.
