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arXiv 2104.01895gr-qc
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Van Stockum时空中的引力能

Gravitational Energy in Van Stockum Space-Time

Ragab M Gad, H. A. Alharbi

摘要:

本文的目的是在两种不同的引力理论广义相对论和遥平行引力理论的框架内说明范·斯托克姆时空的能量和动量分布问题。我们已经证明,对于所有具有度量分量$g_{μν}$是时间变量$t$的函数的齐次时空,对于任何有限体积,总的引力能恒为零。通过与广义相对论的合作,我们已经使用双指数复形计算了Van Stockum时空的能量-动量密度,并在远程平行引力的框架下,我们使用了爱因斯坦,Bergmann-Thomson和Landau-Lifshitz的能量-动量复形。在我们的分析中,我们坚持认为广义相对论和遥平行引力是所考虑的时空的等价理论。对于所考虑的时空,我们已经证明,能量-动量密度的不同复形,无论在广义相对论中还是在遥平行引力中,都不能提供相同的结果。

英文摘要:

The purpose of this paper is to illustrate the problem of energy and momentum distributions of Van Stockum space-time within the framework of two different theories of gravity, general relativity and teleparallel gravity. We have shown that for all homogeneous space-times with metric components $g_{μν}$ being functions of time variable, $t$, alone and independent of space variables the total gravitational energy for any finite volume is identically zero. By working with general relativity, we have calculated the energy-momentum density for Van Stockum space-time using double index complexes and in the framework teleparallel gravity, we used the energy-momentum complexes of Einstein, Bergmann-Thomson and Landau-Lifshitz. In our analysis, we sustained that general relativity and teleparallel gravity are equivalent theories of space-time under consideration. For space-time under consideration, we have shown that different complexes of energy-momentum density do not provide the same results neither in general relativity nor in teleparallel gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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