The effects of self-interaction on constructing relativistic point particles

被引:0
作者
Noah Benjamin
Iva Stavrov Allen
机构
[1] Lewis & Clark College,
来源
General Relativity and Gravitation | 2018年 / 50卷
关键词
Hamiltonian constraint; Interaction energy; Self-interaction; Schwarzschild metric; Point particle; 83C05;
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摘要
We introduce a framework for studying the effects of self-interaction on the construction of point particle initial data in General Relativity. Within this framework we rigorously prove the vanishing mass result of Arnowitt et al. (Phys Rev Lett 4: 375, 1960) regarding point sources. We identify a geometric structure and a scaling parameter that allow one to determine, by controlling the effects of self-interaction, when one does or does not obtain a non-zero mass.
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