arXiv subjects

Juri Dimaschko

Publications and source records attributed to Juri Dimaschko.

5 recordsLinked to original sources

arXiv2026

A rigid spherical shell enclosing a degenerate wormhole

A static configuration consisting of a rigid spherical shell enclosing a degenerate Schwarzschild Klinkhamer wormhole is investigated in general relativity. The shell is analyzed using the Israel junction conditions, while the total ADM mass is assumed to remain fixed. For an ordinary rigid shell in Schwarzschild spacetime, the proper mass is given by the Brown York relation. It is shown that replacing the flat interior by a degenerate vacuum wormhole changes the junction conditions in such a way that the proper mass of the shell vanishes, whereas the ADM mass and the exterior Schwarzschild geometry remain unchanged. The resulting configuration is therefore entirely characterized by the wormhole geometry as the carrier of the gravitational field. The physical interpretation of this result is discussed, together with its relation to the previously established collapse dynamics of degenerate wormholes.

gr-qc↗

arXiv2026

Non-degenerate and degenerate wormholes: a unified approach

A generalized notion of degenerate wormholes is introduced, defined by the vanishing of the metric determinant g at the throat. It is described by the polynomial, g^2 modified Einstein field equations. Building on this framework, we show that both the Einstein Rosen bridge and the Klinkhamer defect wormhole are exact vacuum solutions of the g^2 modified equations, valid globally including at the degenerate throat, while the Klinkhamer configuration additionally admits traversable geometries with b>2M, where b sets the length scale of the wormhole throat and M is a mass parameter. In contrast, standard Morris Thorne and thin shell wormholes, governed by the conventional (non regularized) Einstein equations, are intrinsically non degenerate and necessarily supported by exotic stress energy. Within a unified regularized system with matter, both thin shell and Klinkhamer wormholes appear as two qualitatively distinct classes of states: non degenerate with exotic matter versus degenerate with vacuum sharing the Einstein Rosen bridge as a common limiting configuration. This unified viewpoint clarifies why classical null energy condition no go theorems apply only to the non degenerate sector and suggests the possibility of stationary degenerate traversable wormholes that do not require NEC violation.

physics.gen-ph↗

arXiv2026

Degenerate Geometries as Matter-Free Physical Configurations in General Relativity: Three Examples

We examine three degenerate spacetime configurations with wormhole topology, obtained via branching coordinate transformations of the Rindler, Minkowski, and Schwarzschild vacuum metrics.These configurations are, respectively, a Rindler wormhole with a planar throat, and the Klinkhamer and Schwarzschild Klinkhamer wormholes with spherical throats. Within the framework of the Einstein Palatini Cartan formulation, we demonstrate that these degenerate configurations are matter free. In this regard, they differ fundamentally from their nondegenerate wormhole counterparts in the thin shell model, which require exotic matter. Nevertheless, the degenerate configurations considered here exhibit distinct physical manifestations, ranging from purely topological structures to genuine gravitational effects. Furthermore, in all three examples, we demonstrate the absence of a limiting transition from the non-degenerate spacetime to the matter free degenerate configuration. This suggests that degenerate geometries constitute an independent sector of the configuration space of general relativity.

gr-qc↗

arXiv2025

Matter-free gravitational collapse and the equivalence principle

The dynamics of a degenerate spherically symmetric wormhole in a vacuum is considered. An extension of the equivalence principle to matter free objects that are the source of a gravitational field is proposed. Using the Klinkhamer metric as an example, it is shown that a degenerate wormhole is precisely such an object. Application of the extended equivalence principle reduces the radial dynamics of the Klinkhamer wormhole to the dynamics of the radial fall of a test particle in a Schwarzschild gravitational field. It is proven that any bound state of the traversable Klinkhamer wormhole eventually collapses into a nontraversable Einstein-Rosen wormhole. An estimate is presented showing that the traversable Klinkhamer wormhole, although nonstationary, is a longlived state.

physics.gen-ph↗

arXiv2025

Topological dressing method for the Einstein-Maxwell equations

A regular method is proposed that makes it possible to obtain a new exact solution with a wormhole from any topologically trivial exact solution of the Einstein-Maxwell equations in an electrovacuum (topological dressing method). This solution has a structure similar to that of a thin-shell wormhole, but unlike it, it is exact and, therefore, does not require the presence of any other field sources. The wormhole itself is shown to create both gravitational and electromagnetic fields. The corresponding effective mass and effective charge are distributed over the surface of its throat and around it. The topological dressing of the Reissner-Nordstr\"om solution with zero effective mass and non-zero effective charge gives a new solution describing a traversable wormhole. This solution is shown to be stable in the presence of external pressure.

gr-qc↗