Simple analytic model of wormhole formation

Abstract

An explicit and simple solution representing the wormhole formation is presented. The spacetime is constructed by gluing the Minkowski and Roberts spacetimes at null hypersurfaces in a regular manner. The parameters in the Roberts solution are required to give the negative kinetic term for the massless scalar field. Although a curvature singularity appears at the moment of the wormhole formation, it disappears instantaneously. This instantaneous singularity is weak in the senses of both Tipler and Królak along radial causal geodesics.

9 pages, 3 figures, final version to appear in Physical Review D

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• Junction conditions in scalar-tensor theories
• Caustics of $1/r^n$ binary gravitational lenses: from galactic haloes to exotic matter
• Exact dynamical AdS black holes and wormholes with a Klein-Gordon field
• (2+1)-dimensional Static Cyclic Symmetric Traversable Wormhole: Quasinormal Modes and Causality
• Vacuum excitation by sudden appearance and disappearance of a Dirichlet wall in a cavity
• Creation/annihilation of wormholes supported by the Sine-Gordon phantom (ghost) field
• Multi-Sheet Wormholes in the Gravitational Soliton Formalism
• The Roberts-(A)dS spacetime
• Dynamical Formation of Charged Wormholes
• Brans-Dicke analogue of the Roberts geometry