Simple analytic model of wormhole formation

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Type

Scientific paper

Digital Object Identifier

10.1103/PhysRevD.79.024030

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 Kr\'{o}lak along radial causal geodesics.

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