标题： 五维卡鲁扎-克莱因理论中的虫洞解作为弦状物体 显示英文标题

标题： Wormhole solutions in 5D Kaluza-Klein theory as string-like objects

摘要： 给出了5维卡鲁扎-克莱因引力中虫洞类解的详细数值和解析近似分析。 结果表明，其中一些具有电场$E$和磁场$H$关系为$E \approx H, E>H$的解可以被视为充满电场和磁场的超细长引力流管，即$\Delta-$弦。 讨论了解在超曲面$ds^2=0$附近的性质以及基于$\Delta-$弦的电荷模型。 对$\Delta-$弦与弦理论中普通弦的性质进行了比较。 给出了一些论据表明可以在$\Delta-$弦上构建费米子自由度。这些自由度与时空泡沫中的量子虫洞有关。文中还表明，这些旋量场的自然理论是超引力。 显示英文摘要

摘要： The detailed numerical and analytical approximate analysis of wormhole-like solutions in 5D Kaluza-Klein gravity is given. It is shown that some part of these solutions with $E \approx H, E>H$ relation between electric $E$ and magnetic $H$ fields can be considered as a superthin and superlong gravitational flux tube filled with electric and magnetic fields, namely $\Delta-$strings. The solution behaviour near hypersurface $ds^2=0$ and the model of electric charge on the basis of $\Delta-$string are discussed. The comparison of the properties of $\Delta-$string and ordinary string in string theory is carried out. Some arguments are given that fermionic degrees of freedom can be build in on the $\Delta-$string. These degrees of freedom are connected with quantum wormholes of spacetime foam. It is shown that the natural theory for these spinor fields is supergravity.