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.
year 2023
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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.
Using an extended equivalence principle on the Klinkhamer metric, the radial dynamics of a degenerate wormhole reduce to test-particle fall in Schwarzschild spacetime, proving collapse of bound traversable states into Einstein-Rosen wormholes with a long lifetime estimate.
citing papers explorer
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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.
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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.
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Matter-free gravitational collapse and the equivalence principle
Using an extended equivalence principle on the Klinkhamer metric, the radial dynamics of a degenerate wormhole reduce to test-particle fall in Schwarzschild spacetime, proving collapse of bound traversable states into Einstein-Rosen wormholes with a long lifetime estimate.