Wormhole solutions in 5D Kaluza-Klein theory as string-like objects
Abstract
Description
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.
29 pages, 10 figures
29 pages, 10 figures