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The Jebsen-Birkhoff theorem in alternative gravity
Jebsen-Birkhoff theorem alternative gravity
2010/3/17
We discuss the validity, or lack thereof, of the Jebsen-Birkhoff theorem in scalar-tensor theories by generalizing it and regarding the Brans-Dicke-like scalar as effective matter. Both the Jordan and...
Form Invariance and Noether Symmetries of Rotational
Relativistic Birkhoff Systems
rotational relativity Birkhoff system form invariance
Noether symmetry conserved quantity
2007/8/15
2002Vol.38No.3pp.257-260DOI:
Form Invariance and Noether Symmetries of Rotational
Relativistic Birkhoff Systems
LUO Shao-Kai
Institute of Mathematical Mechanics and Mat...
Metric Nonsymmetric Theory of Gravitation: the Analogue of the Theorem of Birkhoff
Nonsymmetric Birkhoff
2010/10/13
We prove that a spherically symmetric solution of the field equations of the metric nonsymmetric theory of gravitation developed previously is necessarily static.This is the analogue of the well known...
自由Birkhoff系统的对称性摄动及其逆问题
自由Birkhoff系统 对称性 摄动 绝热不变量
2012/11/12
研究在小干扰力作用下自由Birkhoff系统的对称性摄动与不变量之间的关系,讨论拓宽绝热不变量的描述范围,研究绝热不变量的结构方程;揭示高阶绝热不变量存在的条件与无穷小对称变换群的摄动之间的正反关系,证明高阶绝热不变量存在的条件及形式,并举例说明结果的应用.