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arXiv · 2011.05099

Collapsing Wormholes Sustained by Dustlike Matter

Pavel E. Kashargin·Sergey V. Sushkov
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Abstract

It is well known that static wormhole configurations in general relativity (GR) are possible only if matter threading the wormhole throat is "exotic"---i.e., violates a number of energy conditions. For this reason, it is impossible to construct {static} wormholes supported only by dust-like matter which satisfies all usual energy conditions. However, this is not the case for non-static configurations. In 1934, Tolman found a general solution describing the evolution of a spherical dust shell in GR. In this particular case, Tolman's solution describes the collapsing dust ball; the inner space--time structure of the ball corresponds to the Friedmann universe filled by a dust. In the present work we use the general Tolman's solution in order to construct a dynamic spherically symmetric wormhole solution in GR with dust-like matter. The solution constructed represents the collapsing dust ball with the inner wormhole space--time structure. It is worth noting that, with the dust-like matter, the ball is made of satisfies the usual energy conditions and cannot prevent the collapse. We discuss in detail the properties of the collapsing dust wormhole.

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Pavel E. Kashargin, Sergey V. Sushkov. 2020-11-10. Collapsing Wormholes Sustained by Dustlike Matter. https://doi.org/10.3390/universe6100186

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