论文标题

触电引力中的哈密顿分析的综述

Review of the Hamiltonian analysis in teleparallel gravity

论文作者

Blixt, Daniel, Guzmán, María-José, Hohmann, Manuel, Pfeifer, Christian

论文摘要

我们回顾了对重力分析的哈密顿分析的不同方法。尤其是$ f(\ mathbb {t})$理论的汉密尔顿分析导致文献中有争议的结果。这篇评论的目的是以全面的方式将不同的符号和假设联系起来,以便可以更轻松地比较它们。为此,我们介绍了$ f({\ mathbb {t} _ {\ textrm {ngr}}}})$重力类理论的主要约束。在文献中研究的特定案例,$ f(\ mathbb {t})$重力和新的一般相对性在此父理论中包含。我们比较了他们的汉密尔顿分析,这些分析是通过将它们与我们对$ f分析({\ Mathbb {t} _ {\ textrm {ngr}}})$详细分析的分析来进行的。

We review different approaches to the Hamiltonian analysis of teleparallel theories of gravity. In particular the Hamiltonian analysis for $f(\mathbb{T})$ 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 $f({\mathbb{T}_{\textrm{NGR}}})$ gravity class of theories for the first time. The particular cases studied in the literature, $f(\mathbb{T})$ 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 $f({\mathbb{T}_{\textrm{NGR}}})$ in detail.

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