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;
D O I：
暂无
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学科分类号：
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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  • [1] Arnowitt R(1960)Finite self-energy of classical point particles Phys. Rev. Lett. 4 375-267
  • [2] Deser S(2001)Proof of the Riemannian Penrose inequality using the positive mass theorem J. Differ. Geom. 59 177-476
  • [3] Misner CW(1963)Interaction energy in geometrostatics Phys. Rev. 131 471-53
  • [4] Bray H(1982)Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds J. Differ. Geom. 17 15-437
  • [5] Brill D(1987)Strings and other distributional sources in general relativity Phys. Rev. D 36 1017-undefined
  • [6] Lindquist R(2001)The inverse mean curvature flow and the Riemannian Penrose inequality J. Differ. Geom. 59 353-undefined
  • [7] Cheeger J(undefined)undefined undefined undefined undefined-undefined
  • [8] Gromov M(undefined)undefined undefined undefined undefined-undefined
  • [9] Taylor M(undefined)undefined undefined undefined undefined-undefined
  • [10] Geroch R(undefined)undefined undefined undefined undefined-undefined
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