论文标题

通用对称远程引力的牛顿后极限

Post-Newtonian limit of generalized symmetric teleparallel gravity

论文作者

Flathmann, Kai, Hohmann, Manuel

论文摘要

在本文中,我们分析了纽顿后对称触发性重力的概括的近似,借助参数化的牛顿后(PPN)形式主义。这类理论基于非金属张量的五个独立二次收缩的自由功能。通过计算这些理论的PPN度量,我们可以借助PPN参数及其观察界来限制自由函数的泰勒系数。我们发现两个理论家族的PPN参数与一般相对论相同,因此与观察结果完全一致。对于另外三个家庭,我们发现只有PPN参数$β$和$γ$偏离,但是可以通过适当的选择Lagrangian来任意接近其一般相对性值,因此这些家族也包含候选理论,这些理论与观察结果一致。其余的理论要么没有明确的牛顿野外方程解决方案,要么具有超过PPN形式上假定形式的牛顿后极限。

In this article we analyze the post-Newtonian approximation of a generalization of the symmetric teleparallel gravity with the help of the parameterized post-Newtonian (PPN) formalism. This class of theories is based on a free function of the five independent quadratic contractions of the non-metricity tensor. By calculating the PPN metric of these theories, we can restrict the Taylor coefficients of the free function with the help of the PPN parameters and their observational bounds. We find two families of theories whose PPN parameters are identical to those of general relativity, and thus in full agreement with observations. For three further families, we find that only the PPN parameters $β$ and $γ$ deviate, but can be brought arbitrarily close to their general relativity values by an appropriate choice of the Lagrangian, so that also these families contain candidate theories which agree with observations. The remaining theories either possess no well-defined solution of the post-Newtonian field equations, or possess a post-Newtonian limit which exceeds the form assumed in the PPN formalism.

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