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Collapsing Wormholes Sustained by Dustlike Matter

Institute of Physics, Kazan Federal University, Kremliovskaya str. 16a, 420008 Kazan, Russia
Author to whom correspondence should be addressed.
Universe 2020, 6(10), 186;
Received: 14 September 2020 / Accepted: 8 October 2020 / Published: 18 October 2020
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. View Full-Text
Keywords: wormholes; dustlike matter; collapse; Tolman’s solution; general relativity wormholes; dustlike matter; collapse; Tolman’s solution; general relativity
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Kashargin, P.E.; Sushkov, S.V. Collapsing Wormholes Sustained by Dustlike Matter. Universe 2020, 6, 186.

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