广义相对论正能量定理

发布时间：2018-05-09 09:12

本文选题：广义相对论 + 正能量定理　；参考：《中国科学:数学》2017年06期

【摘要】：广义相对论自洽性要求孤立引力系统的质量密度为正时,时空总能量也是正的,称为正能量猜想.正能量猜想在广义相对论中有着基本重要性,并且,正能量猜想若正确,则也将保证系统总质量可以定义.零宇宙常数时,正能量猜想首先在20世纪70年代末由Schoen和Yau证明,稍后又由Witten用不同方法证明.本文给出4维物理时空正能量问题一个近期研究的综述,包括零宇宙常数时的正能量定理、Kerr约束问题、类光正能量定理和Bondi能量正性,以及正和负宇宙常数正能量定理.
[Abstract]:The general relativistic self-consistency requires that the mass density of the isolated gravitational system is positive, and the total energy of space-time is also positive, which is called positive energy conjecture. Positive energy conjecture is of fundamental importance in general relativity, and if positive energy conjecture is correct, it will also guarantee that the total mass of the system can be defined. In the case of zero cosmic constant, the positive energy conjecture was first proved by Schoen and Yau in the late 1970s, and later by Witten in different ways. In this paper, a recent review of the positive energy problem in 4-dimensional physical space-time is given, including the positive energy theorem for the zero cosmic constant, the quasi-positive energy theorem and the Bondi positive energy theorem, and the positive energy theorem for the positive and negative cosmic constants.
【作者单位】：中国科学院数学与系统科学研究院数学研究所;
【基金】：国家自然科学基金(批准号:11571345)资助项目
【分类号】：O412.1

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