Exact Solutions to the Einstein–Maxwell Equations Describing Wormholes and Handles

Khlestkov, Yu. A.; Sukhanova, L. A.

doi:10.1007/s10701-016-9998-6

Cited by 9 publications

(3 citation statements)

References 14 publications

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“…An extension of the LTB solution including a radial electromagnetic field was discussed in [67][68][69][70][71][72] (see also references therein), where a complete solution was achieved under some additional conditions, while in the general case, relevant integrals of the Einstein-Maxwell equations were obtained and discussed. For arbitrary electric charge distributions and arbitrary initial data, the problem was solved by Pavlov [73], and the solutions were further studied in [74]; a further extension to plane and hyperbolic symmetries of space-time were considered in [75][76][77]; see also references therein.…”

Section: Introductionmentioning

confidence: 99%

Possible Wormholes in a Friedmann Universe

Bronnikov,

Kashargin,

Sushkov

2023

Universe

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We study the properties of evolving wormholes able to exist in a closed Friedmann dust-filled universe and described by a particular branch of the well-known Lemaître–Tolman–Bondi solution to the Einstein equations and its generalization with a nonzero cosmological constant and an electromagnetic field. Most of the results are obtained with pure dust solutions. It is shown, in particular, that the lifetime of wormhole throats is much shorter than that of the whole wormhole region in the universe (which coincides with the lifetime of the universe as a whole), and that the density of matter near the boundary of the wormhole region is a few times smaller than the mean density of matter in the universe. Explicit examples of wormhole solutions and the corresponding numerical estimates are presented. The traversability of the wormhole under study is shown by a numerical analysis of radial null geodesics.

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Section: Introductionmentioning

confidence: 99%

Possible Wormholes in a Friedmann Universe

Bronnikov,

Kashargin,

Sushkov

2023

Universe

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“…Tolman's solution was extended to include electrically charged dust with a radial electromagnetic field in [57][58][59][60][61][62] (see also references therein), where the problem was completely solved under some special conditions and considered on the level of integrals of the Einstein-Maxwell equations in the general case. The full set of solutions for arbitrary charged distributions and arbitrary initial data were obtained by N.V. Pavlov [63] and studied in [64]; further extensions to plane and hyperbolic symmetries were considered in [65][66][67], see also references therein.…”

Section: Introductionmentioning

confidence: 99%

Magnetized Dusty Black Holes and Wormholes

2021

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We consider the generalized Tolman solution of general relativity, describing the evolution of a spherical dust cloud in the presence of an external electric or magnetic field. The solution contains three arbitrary functions f(R), F(R) and τ0(R), where R is a radial coordinate in the comoving reference frame. The solution splits into three branches corresponding to hyperbolic (f>0), parabolic (f=0) and elliptic (f<0) types of motion. In such models, we study the possible existence of wormhole throats defined as spheres of minimum radius at a fixed time instant, and prove the existence of throats in the elliptic branch under certain conditions imposed on the arbitrary functions. It is further shown that the normal to a throat is a timelike vector (except for the instant of maximum expansion, when this vector is null), hence a throat is in general located in a T-region of space-time. Thus, if such a dust cloud is placed between two empty (Reissner–Nordström or Schwarzschild) space-time regions, the whole configuration is a black hole rather than a wormhole. However, dust clouds with throats can be inscribed into closed isotropic cosmological models filled with dust to form wormholes which exist for a finite period of time and experience expansion and contraction together with the corresponding cosmology. Explicit examples and numerical estimates are presented. The possible traversability of wormhole-like evolving dust layers is established by a numerical study of radial null geodesics.

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“…This paper is devoted to the study of new exact particular solution of the Einstein and Maxwell equations use in the general relativity theory (GRT) [4] [5] [6] [7] to describe the internal structure and calculate the parameters of a compact stationary object-the wormhole within the scales of the galaxy and the universe. Previously, this method was applied to the microworld-to elementary particle and atomic nucleus lengths and showed good agreement with experimental results [7].…”

Section: Introductionmentioning

confidence: 99%

Gravitational Description and Graphics of a Wormhole Structure—A Galactic Megamaximon

Khlestkov¹,

Lukashina²,

Lukashin³

et al. 2019

JMP

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Using the new exact solution of Einstein and Maxwell equations in the general relativity theory, they studied the internal structure of a geometric object with a nontrivial topology, the wormhole. They showed that the galactic black hole recently discovered by astronomers and astrophysicists as the part of the Event Horizon Telescope project with the radius about 10 16 cm and the mass of about 10 43 g can be a wormhole almost neutralized in charge with parameters close to critical-megamaximon, the radius of its neck curvature is equal to the so-called critical radius coinciding with half of the gravitational radius.

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Exact Solutions to the Einstein–Maxwell Equations Describing Wormholes and Handles

Cited by 9 publications

References 14 publications

Possible Wormholes in a Friedmann Universe

Possible Wormholes in a Friedmann Universe

Magnetized Dusty Black Holes and Wormholes

Gravitational Description and Graphics of a Wormhole Structure—A Galactic Megamaximon

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