2020
DOI: 10.3390/universe6100186
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Collapsing Wormholes Sustained by Dustlike Matter

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 particu… Show more

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Cited by 9 publications
(14 citation statements)
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“…Of special interest are attempts to obtain wormholes with such a realistic source as dust (a perfect fluid with zero pressure) due to their possible relation to the matter-dominated stage of expansion in our Universe [12,70]. With spherical symmetry, one then naturally uses the famous Lemaître-Tolman-Bondi (LTB) solution to the Einstein equations [14][15][16] or its generalization with radial electric or magnetic fields [71][72][73][74][75][76].…”
Section: Cosmological Wormholes 31 General Observationsmentioning
confidence: 99%
“…Of special interest are attempts to obtain wormholes with such a realistic source as dust (a perfect fluid with zero pressure) due to their possible relation to the matter-dominated stage of expansion in our Universe [12,70]. With spherical symmetry, one then naturally uses the famous Lemaître-Tolman-Bondi (LTB) solution to the Einstein equations [14][15][16] or its generalization with radial electric or magnetic fields [71][72][73][74][75][76].…”
Section: Cosmological Wormholes 31 General Observationsmentioning
confidence: 99%
“…with constant β. The values of α can be restricted to −1.5 ≤ α ≤ 1, so that we can describe, if necessary, different types of cosmological fluids, such as stiff matter [55], radiation [56], dust [57], dark energy [58] and phantom fluid [59,60]. On the other hand, β 1 in order to guarantee anisotropy and 0 in order to avoid singularities.…”
Section: Traversable Wormholes: Metric Energy-momentum Tensor Travers...mentioning
confidence: 99%
“…A special case of functions F (R) and f (R) satisfying the throat conditions ( 17) and ( 18) was considered in [55]. In this paper, we consider the general case without specifying the functions F (R) and f (R) and test the traversability of the models.…”
Section: Possible Wormhole Throatsmentioning
confidence: 99%
“…Its properties were further investigated, for example, in [52][53][54]. An attempt to obtain a wormhole using a special choice of arbitrary functions in this solution was undertaken in [55].…”
Section: Introductionmentioning
confidence: 99%