Lemaître-Tolman-Bondi cosmological wormhole

Bochicchio, Ivana; Faraoni, Valerio

doi:10.1103/physrevd.82.044040

Cited by 22 publications

(15 citation statements)

References 70 publications

(34 reference statements)

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“…Cosmological wormholes can probably be relevant in the early Universe, and the presently reported results show that they could naturally exist not only at the inflationary stage but also at the matterdominated one. It supports the idea that wormholes with de Sitter asymptotic regions that existed at the inflationary stage might somehow survive at the radiation-dominated and later stages and still exist in the present Universe, as is discussed by a number of researchers, e.g., in [66,70,[96][97][98] and others.…”

Section: Discussionsupporting

confidence: 80%

“…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 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]. In [70], a wormhole joining two spatially flat LTB universes was sustained by a thin shell satisfying the WEC, which is an interesting but somewhat undesired feature. In [12], by properly choosing the arbitrary functions of the LTB solution, the authors obtained a model of a collapsing dust ball with inner wormhole structure but globally forming a black hole.…”

Section: Cosmological Wormholes 31 General Observationsmentioning

confidence: 99%

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Rotating Melvin-like Universes and Wormholes in General Relativity

2020

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We find a family of exact solutions to the Einstein–Maxwell equations for rotating cylindrically symmetric distributions of a perfect fluid with the equation of state p=wρ (|w|<1), carrying a circular electric current in the angular direction. This current creates a magnetic field along the z axis. Some of the solutions describe geometries resembling that of Melvin’s static magnetic universe and contain a regular symmetry axis, while some others (in the case w>0) describe traversable wormhole geometries which do not contain a symmetry axis. Unlike Melvin’s solution, those with rotation and a magnetic field cannot be vacuum and require a current. The wormhole solutions admit matching with flat-space regions on both sides of the throat, thus forming a cylindrical wormhole configuration potentially visible for distant observers residing in flat or weakly curved parts of space. The thin shells, located at junctions between the inner (wormhole) and outer (flat) regions, consist of matter satisfying the Weak Energy Condition under a proper choice of the free parameters of the model, which thus forms new examples of phantom-free wormhole models in general relativity. In the limit w→1, the magnetic field tends to zero, and the wormhole model tends to the one obtained previously, where the source of gravity is stiff matter with the equation of state p=ρ.

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Section: Discussionsupporting

confidence: 80%

Section: Cosmological Wormholes 31 General Observationsmentioning

confidence: 99%

Section: Cosmological Wormholes 31 General Observationsmentioning

confidence: 99%

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Rotating Melvin-like Universes and Wormholes in General Relativity

2020

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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 [12,69]. With spherical symmetry, one then naturally uses the famous LTB solution to the Einstein equations [14–16] or its generalization with radial electric or magnetic fields [70–75].…”

Section: Cosmological Wormholesmentioning

confidence: 99%

Some unusual wormholes in general relativity

Бронников

2022

Phil. Trans. R. Soc. A.

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In this short review, we present some recently obtained traversable wormhole models in the framework of general relativity (GR) in four and six dimensions that somehow widen our common ideas on wormhole existence and properties. These are, first, rotating cylindrical wormholes, asymptotically flat in the radial direction and existing without exotic matter. The topological censorship theorems are not violated due to lack of asymptotic flatness in all spatial directions. Second, these are cosmological wormholes constructed on the basis of the Lemaître–Tolman–Bondi solution. They connect two copies of a closed Friedmann world filled with dust, or two otherwise distant parts of the same Friedmann world. Third, these are wormholes obtained in six-dimensional GR, whose one entrance is located in ‘our’ asymptotically flat world with very small extra dimensions while the other ‘end’ belongs to a universe with large extra dimensions and therefore different physical properties. The possible observable features of such wormholes are briefly discussed. This article is part of the theme issue ‘The future of mathematical cosmology, Volume 1’.

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“…Some recent articles related to thin-shell wormholes can be found in Refs. [13][14][15]. Note that in [15] a solution describing a wormhole shell joining two identical Lemaitre-Tolman-Bondi (LTB) universes is analyzed (see [16] and references therein for some remarks on these Universes).…”

Section: Introductionmentioning

confidence: 99%

Intra-Galactic Thin Shell Wormhole and Its Stability

Bochicchio

Laserra

2013

Int J Theor Phys

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In this paper, we construct an intra-galactic thin shell wormhole joining two copies of identical galactic space times described by the Mannheim-Kazanas de Sitter solution in conformal gravity and study its stability under spherical perturbations. We assume the thin shell material as a Chaplygin gas and discuss in detail the values of the relevant parameters under which the wormhole is stable. We study the stability following the method by Eiroa and we also qualitatively analyze the dynamics through the method of Weierstrass. We find that the wormhole is generally unstable but there is a small interval in radius for which the wormhole is stable.

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Lemaître-Tolman-Bondi cosmological wormhole

Cited by 22 publications

References 70 publications

Rotating Melvin-like Universes and Wormholes in General Relativity

Rotating Melvin-like Universes and Wormholes in General Relativity

Some unusual wormholes in general relativity

Intra-Galactic Thin Shell Wormhole and Its Stability

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