Finite model of an electric charge

Finite model of an electric charge
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电荷的有限模型

DOI:
10.1103/physrevd.104.044057
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发表时间:
2021
期刊:
影响因子:
5
通讯作者:
Sandipan Sengupta
Sandipan Sengupta
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Suvikranth Gera;Sandipan Sengupta

文献摘要

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我们建立了一个电荷模型,其中一阶引力的不可逆度规相取代了弯曲时空中的点电荷奇点。电荷的拓扑解释是根据简并时空解定义的指标提供的,与欧拉特性密切相关。这一阶段的重力运动方程与静电定律是等价的。相关的场能量是有限的,电荷源的几何形状是规则的。
We set up a model of an electric charge where the noninvertible metric phase of first order gravity supercedes the point charge singularity in a curved spacetime. A topological interpretation of the electric charge is provided in terms of an index defined for the degenerate spacetime solution, being closely related to the Euler characteristic. The gravitational equations of motion at this phase are found to be equivalent to the laws of electrostatics. The associated field energy is finite and the geometry sourcing the charge is regular.