关于标量-张量引力中不变量的几点注记
Some remarks concerning invariant quantities in scalar-tensor gravity
摘要：
本文的目的是澄清用于描述由标量场的四个任意局部泛函表征的标量-张量引力的形式主义的某些方面。我们回忆的对象是不变的关于一个时空点下的局部外尔重新标度的度量和下的标量场重新定义。我们短语和证明一个定理，允许这样一个对象的每个数量的理论中，其中两个任意的四个局部泛函的标量场指定在一个合适的方式。在此基础上，我们提出并论证了翻译规则的存在性。
英文摘要：
The aim of the current paper is to clarify some aspects of the formalism used for describing the scalar-tensor gravity characterized by four arbitrary local functionals of the scalar field. We recall the objects that are invariant with respect to a spacetime point under the local Weyl rescaling of the metric and under the scalar field redefinition. We phrase and prove a theorem that allows to link such an object to each quantity in a theory where two out of the four arbitrary local functionals of the scalar field are specified in a suitable manner. Based on these results we phrase and reason the existence of the so called translation rules.
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