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

V. Dzhunushaliev
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Abstract

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 $Δ-$strings. The solution behaviour near hypersurface $ds^2=0$ and the model of electric charge on the basis of $Δ-$string are discussed. The comparison of the properties of $Δ-$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 $Δ-$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.

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V. Dzhunushaliev. 2004-05-05. Wormhole solutions in 5D Kaluza-Klein theory as string-like objects. https://arxiv.org/abs/gr-qc/0405017

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