论文标题
Palatini重力中的脱壳ADT保守量
Off-Shell ADT Conserved Quantities in Palatini Gravity
论文作者
论文摘要
在本文中,我们概括了违约的雅培 - 戴瑟·特肯(ADT)保守的指控形式主义对palatini的重力理论,其扭转和非金属性。我们的构建基于坐标形式主义,独立的动态场是指标和仿射连接。对于一般的palatini重力理论,直到边界术语是差异不变的,我们获得了脱壳ADT电位的最通用表达。作为明确的例子,我们得出了Einstein-Hilbert Action的外壳ADT潜力,最通用的$ L(g_ {μν},r^λ{} _ {ναμ},t^λ{} _ {} _ {αβ},q_ {al {αμmentepaltity and tereparity和teleparitian。
In this paper we generalize the off-shell Abbott-Deser-Tekin (ADT) conserved charge formalism to Palatini theory of gravity with torsion and non-metricity. Our construction is based on the coordinate formalism and the independent dynamic fields are the metric and the affine connection. For a general Palatini theory of gravity, which is diffeomorphism invariant up to a boundary term, we obtain the most general expression for off-shell ADT potential. As explicit examples, we derive the off-shell ADT potentials for Einstein-Hilbert action, the most general $L(g_{μν}, R^λ{}_{ναμ}, T^λ{}_{αβ}, Q_{αμν})$ theories and the teleparallel Palatini gravity.