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Review of the Hamiltonian analysis in teleparallel gravity
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2021-07-23 , DOI: 10.1142/s0219887821300051
Daniel Blixt 1 , María-José Guzmán 1, 2 , Manuel Hohmann 1 , Christian Pfeifer 1
Affiliation  

We review different approaches to the Hamiltonian analysis of teleparallel theories of gravity. In particular, the Hamiltonian analysis for f(𝕋) theories led to disputed results in the literature. The aim of this review is to relate the different notations and assumptions in the different approaches in a comprehensive way, so that they can be compared more easily. To do this we present the primary constraints of the f(𝕋NGR) gravity class of theories for the first time. The particular cases studied in the literature, f(𝕋) gravity and new general relativity, are contained in this parent theory. We compare their Hamiltonian analyses done by different authors in the literature among each other by relating them to our analysis of f(𝕋NGR) in detail.

中文翻译:

遥平行引力中哈密顿量分析的回顾

我们回顾了远平行引力理论的哈密顿分析的不同方法。特别是,哈密顿量分析F(𝕋)理论导致文献中有争议的结果。这篇综述的目的是全面地把不同方法中的不同符号和假设联系起来,以便更容易地比较它们。为此,我们提出了F(𝕋非遗传资源)引力类理论第一次。文献中研究的具体案例,F(𝕋)引力和新的广义相对论,都包含在这个母理论中。我们将文献中不同作者所做的哈密顿分析与我们的分析联系起来,从而相互比较。F(𝕋非遗传资源)详细地。
更新日期:2021-07-23
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