Degenerate wormholes defined by vanishing metric determinant g at the throat are exact vacuum solutions to g²-modified Einstein equations, unifying Einstein-Rosen bridge and Klinkhamer wormholes as limits of non-degenerate cases with exotic matter.
Matter-free gravitational collapse and the equivalence principle
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
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.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Three degenerate wormhole spacetimes derived from standard vacuum metrics via branching transformations are matter-free in the Palatini-Cartan formulation and lack a continuous limit from their non-degenerate counterparts.
citing papers explorer
-
Non-degenerate and degenerate wormholes: a unified approach
Degenerate wormholes defined by vanishing metric determinant g at the throat are exact vacuum solutions to g²-modified Einstein equations, unifying Einstein-Rosen bridge and Klinkhamer wormholes as limits of non-degenerate cases with exotic matter.
-
Degenerate Geometries as Matter-Free Physical Configurations in General Relativity: Three Examples
Three degenerate wormhole spacetimes derived from standard vacuum metrics via branching transformations are matter-free in the Palatini-Cartan formulation and lack a continuous limit from their non-degenerate counterparts.