Conserved currents and superpotentials in teleparallel equivalent of GR
Conserved currents and superpotentials in teleparallel equivalent of GR
复制标题
GR 远平行等价物中的守恒电流和超势
DOI：
10.1088/1361-6382/ab7715
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发表时间：
2019
影响因子：
3.5
通讯作者：
A. Toporensky
中科院分区：
文献类型：
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作者：
E. Emtsova;A. Petrov;A. Toporensky
我们研究了远程平行等效的广义相对论（TEGR）与拉格朗日，其中包括平坦的（惯性）自旋连接，这显然是不变的局部洛伦兹旋转。直接应用Noether定理，我们构造了守恒流和相关超势的新表达式。它们在坐标变换和局部洛伦兹旋转下都是协变的，并且允许我们构建定义良好的守恒电荷，这与早期的方法不同。的优点是实现了一个明确存在的位移矢量在新的表达式，可以被解释为一个Killing矢量，作为一个适当的矢量的观察员，等新的表达式被用来引入一个原则的定义的惯性自旋连接，是一个未定的在TEGR从一开始。理论结果被应用于计算Schwarzschild黑洞的质量和自由落体观测者在Friedmann-Lemaintre-Robertson-步行者世界和（反）de Sitter空间中的守恒量密度.
We study the teleparallel equivalent of general relativity (TEGR) with Lagrangian that includes the flat (inertial) spin connection and that is evidently invariant with respect to local Lorentz rotations. Applying directly the Noether theorem, we construct new expressions for conserved currents and related superpotentials. They are covariant both under coordinate transformations and local Lorentz rotations, and allow us to construct well defined conserved charges, unlike earlier approaches. The advantage is achieved by an explicit presence of a displacement vector in the new expressions that can be interpreted as a Killing vector, as a proper vector of an observer, etc. The new expressions are used to introduce a principle for definition of an inertial spin connection that is undetermined one in the TEGR from the start. Theoretical results are applied to calculate mass for the Schwarzschild black hole and densities of conserved quantities for freely falling observers both in Friedmann–Lemaître–Robertson–Walker world of all the three signs of curvature and in (anti-)de Sitter space.