Cylindrical wormholes

Jos\'e P. S. Lemos; Kirill A. Bronnikov

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Cylindrical wormholes

General Relativity and Quantum Cosmology · Submitted 13 Feb 2009

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is shown that the existence of static, cylindrically symmetric wormholes does not require violation of the weak or null energy conditions near the throat, and cylindrically symmetric wormhole geometries can appear with less exotic sources than wormholes whose throats have a spherical topology.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.89 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.71 · mentions code or data availability 0.01.

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It is shown that the existence of static, cylindrically symmetric wormholes does not require violation of the weak or null energy conditions near the throat, and cylindrically symmetric wormhole geometries can appear with less exotic sources than wormholes whose throats have a spherical topology. Examples of exact wormhole solutions are given with scalar, spinor and electromagnetic fields as sources, and these fields are not necessarily phantom. In particular, there are wormhole solutions for a massless, minimally coupled scalar field in the presence of a negative cosmological constant, and for an azimuthal Maxwell electromagnetic field. All these solutions are not asymptotically flat. A no-go theorem is proved, according to which a flat (or string) asymptotic behavior on both sides of a cylindrical wormhole throat is impossible if the energy density of matter is everywhere nonnegative.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	It is shown that the existence of static, cylindrically symmetric wormholes does not require violation of the weak or null energy conditions near the throat, and cylindrically symmetric wormhole geometries can appear with less exotic sources than wormholes whose throats have a spherical topology.	result 0.97	0.88	0.86	asserted 1.00
s1	Examples of exact wormhole solutions are given with scalar, spinor and electromagnetic fields as sources, and these fields are not necessarily phantom.	contribution 0.68	0.90	0.13	asserted 0.95
s2	In particular, there are wormhole solutions for a massless, minimally coupled scalar field in the presence of a negative cosmological constant, and for an azimuthal Maxwell electromagnetic field.	result 0.81	0.87	0.08	asserted 0.97
s3	All these solutions are not asymptotically flat.	result 0.83	0.85	0.07	asserted 1.00
s4	A no-go theorem is proved, according to which a flat (or string) asymptotic behavior on both sides of a cylindrical wormhole throat is impossible if the energy density of matter is everywhere nonnegative.	result 0.89	0.94	0.32	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

It is shown that the existence of static, cylindrically symmetric wormholes does not require violation of the weak or null energy conditions near the throat, and cylindrically symmetric wormhole geometries can appear with less exotic sources than wormholes whose throats have a spherical topology. Examples of exact wormhole solutions are given with scalar, spinor and electromagnetic fields as sources, and these fields are not necessarily phantom. In particular, there are wormhole solutions for a massless, minimally coupled scalar field in the presence of a negative cosmological constant, and for an azimuthal Maxwell electromagnetic field. All these solutions are not asymptotically flat. A no-go theorem is proved, according to which a flat (or string) asymptotic behavior on both sides of a cylindrical wormhole throat is impossible if the energy density of matter is everywhere nonnegative.

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16 arXiv papers cite this in 33 sentences

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Papers citing it · 22 sentences without a confident label

Builds on it 1 paper

With these definitions, we find the necessary conditions for the throat existence, which generalize those formulated in [ref] for the static case and are actually easier to satisfy due to the rotational contribution.

Rotating cylindrical wormholes · Introduction · 0.95

Cites it as background 9 papers

This metric is said to describe a if either (i) the circular radius $r(x) = ^β(x)$ has a regular minimum (called an $r$-throat) and is large or infinite far from this minimum or (ii) the same is true for the area function $a(x) = ^μ+β$ (its minimum is called an $a$-throat) [ref] .

Potentially observable cylindrical wormholes without exotic matter in general relativity · Wormhole solution with an anisotropic fluid · 0.85
Such systems with and without rotation were discussed, in particular, in [ref] (see also references therein).

Rotating cylindrical wormholes: a no-go theorem · Introduction · 0.91
Recent studies regarding cylindrical wormholes include the works by Clément [ref] , Aros and Zamorano [ref] , Kuhfittig [ref] , Bronnikov and Lemos [ref] and by Bejarano, Eiroa and one of us [ref] .

More about thin-shell wormholes associated to cosmic strings · Introduction · 0.96

What it cites · 13 sentences without a confident label

Cites as background 5 papers

Lorentzian traversable wormholes as smooth bridges between different universes, or smooth shortcuts between remote parts of a single universe, have been widely discussed from different theoretical standpoints for many years, see [ref] for reviews.

Morris-Thorne wormholes with a cosmological constant · Introduction · 1.00
Lorentzian traversable wormholes as smooth bridges between different universes, or smooth shortcuts between remote parts of a single universe, have been widely discussed from different theoretical standpoints for many years, see [ref] for reviews.

Wormholes supported by a phantom energy · Introduction · 1.00
Lorentzian traversable wormholes as smooth bridges between different universes, or smooth shortcuts between remote parts of a single universe, have been widely discussed from different theoretical standpoints for many years, see [ref] for reviews.

Geometric structure of the generic static traversable wormhole throat · Introduction · 1.00

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