AI 中文总结
本文研究由特定标量场支撑的静态球对称带电拓扑geon的性质，发现其引力质量由电荷和大小决定，提出该带电geon可作为超出标准模型的基本粒子（如暗物质）的经典模型。
AI 中文摘要
拓扑geon是具有拓扑结构$\boldsymbol{\times M}$的渐近（反）德西特或平直时空，其中$M$是穿孔射影空间，$M=\boldsymbol{RP^3}\backslash{p}$，移除的点$p$对应类空无穷远。流形$M$通常通过虫洞时空的球对称空间切片，经$\boldsymbol{Z_2}$群的等距作用作为商流形得到。我们研究由自引力、最小耦合且具有负动能及任意自相互作用势的标量场支撑的静态、球对称带电拓扑geon的一般性质。在最一般情况下，此类geon的引力质量完全由其电荷和大小（对于给定标量场，即对应虫洞喉的大小）决定。我们讨论带电Ellis-Bronnikov-Sorkin geon的性质，并认为它可作为超出标准模型的基本粒子的可能经典模型，特别是暗物质粒子。
英文摘要
A topological geon is an asymptotically (anti-)de Sitter or flat spacetime with topology $\mathbb{R}\times M$, where $M$ is the punctured projective space, $M=\mathbb{R}P^3\backslash\{p\}$, and the removed point $p$ corresponds to the spacelike infinity. The manifold $M$ is conventionally obtained from a spherically symmetric spatial slice of a wormhole spacetime as the quotient manifold by the isometric action of the group $\mathbb{Z}_2$. We study the general properties of static, spherically symmetric, charged topological geons supported by a selfgravitating, minimally coupled scalar field with negative kinetic energy and an arbitrary selfinteraction potential. In the most general case, it turns out that the gravitational mass of such a geon is completely determined by its electric charge and size (for a given scalar field), that is, the size of the corresponding wormhole throat. We discuss the properties of the charged Ellis-Bronnikov-Sorkin geon and argue that it can be considered as a possible classical model of elementary particles beyond the Standard Model, in particular, as dark matter particles.
Comments14 pages, 2 figures
Journal refTheoretical and Mathematical Physics, Vol. 228, p. 1186 (2026)
