The Palatini variational principle for the general Bergmann–Wagoner–Nordtvedt theory of gravitation
The Palatini variational principle for the general Bergmann–Wagoner–Nordtvedt theory of gravitation
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伯格曼-瓦格纳-诺德维特引力理论的帕拉蒂尼变分原理
DOI：
10.1063/1.524795
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发表时间：
1981
期刊：
影响因子：
--
通讯作者：
N. Bergh
中科院分区：
文献类型：
--
作者：
N. Bergh
本文给出了Bergmann-Wagoner-Nordtvedt标量-张量引力理论的希尔伯特变分原理的一般形式，得到了任意单位的场方程。然后应用Palatini变分法到这个作用量积分，即使物质部分明确地包含联系系数，也可以证明联系是可积的Weyl联系。然而，所得到的场方程总是出现在错误的单位系统中，或者在一般规范中是错误的。
The Hilbert variational principle for the Bergmann–Wagoner–Nordtvedt scalar–tensor theory of gravitation is presented in a general form, yielding the field equations in arbitrary units. Applying then the Palatini method of variation to this action integral, the connection can be shown to be an integrable Weyl connection, even if the matter part contains explicitly the connection coefficients. However, the resulting field equations always appear in the wrong unit system, or turn out to be wrong in a general gauge.