In this article we study a general class of non-rotating thin-shell wormholes
with cylindrical symmetry. We consider two physically sound definitions of the
flare-out condition and we show that the less restrictive one allows for the
construction of wormholes with positive energy density at the throat. We also
analyze the mechanical stability of these objects under perturbations
preserving the symmetry, proving that previous results are particular cases of
a general property. We present examples of wormholes corresponding to
Einstein-Maxwell spacetimes.Comment: 9 pages, 2 figures; v4: corrected versio

Eiroa, Ernesto F.

Simeone, Claudio

Physical Review D

English

arXiv

In this article we study a general class of nonrotating thin-shell wormholes with cylindrical symmetry. We consider two physically sound definitions of the flare-out condition and we show that the less restrictive one allows for the construction of wormholes with positive energy density at the throat.We also analyze the mechanical stability of these objects under perturbations preserving the symmetry, proving that previous results are particular cases of a general property. We present examples of wormholes corresponding to Einstein-Maxwell spacetimes.Fil: Eiroa, Ernesto Fabian. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaFil: Simeone, Claudio Mauricio. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin

Eiroa, Ernesto Fabian

Simeone, Claudio Mauricio

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Some general aspects of thin-shell wormholes with cylindrical symmetry

LAReferencia - Red Federada de Repositorios Institucionales de Publicaciones Científicas Latinoamericanas

Erratum: [Phys. Rev. D 81, 084022 (2010)]Fil: Eiroa, Ernesto Fabian. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaFil: Simeone, Claudio Mauricio. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin

Erratum: Some general aspects of thin-shell wormholes with cylindrical symmetry

Erratum: Some general aspects of thin-shell wormholeswith cylindrical symmetry[Phys. Rev. D 81, 084022 (2010)]Ernesto F. Eiroa and Claudio Simeone(Received 8 October 2014; published 30 October 2014)DOI: 10.1103/PhysRevD.90.089906 PACS numbers: 04.20.Gz, 04.20.Jb, 04.40.Nr, 99.10.CdThere is an algebraic error in Eq. (4), which should readKτ̂ τ̂ ¼ ∓ 2AðaÞBðaÞäþ A0ðaÞ þ ½AðaÞB0ðaÞ þ A0ðaÞBðaÞ _a22AðaÞ ffiffiffiffiffiffiffiffiffiffiBðaÞpffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1þ BðaÞ _a2p : ð4ÞAs a consequence, the following corrections apply: Eqs. (9) and (10) should be modified in the formpφ ¼18πffiffiffiffiffiffiffiffiffiffiBðaÞpffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1þ BðaÞ _a2p2BðaÞäþ BðaÞD0ðaÞDðaÞ þA0ðaÞAðaÞ þB0ðaÞBðaÞ_a2 þD0ðaÞDðaÞ þA0ðaÞAðaÞ; ð9Þpz ¼18πffiffiffiffiffiffiffiffiffiffiBðaÞpffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1þ BðaÞ _a2p2BðaÞäþ BðaÞC0ðaÞCðaÞ þA0ðaÞAðaÞ þB0ðaÞBðaÞ_a2 þ C0ðaÞCðaÞ þA0ðaÞAðaÞ: ð10ÞIn Eqs. (13) and (14), the quotient B0ðaÞ=BðaÞ should be replaced by A0ðaÞ=AðaÞ, while in Eqs. (15) and (16), the functionBðaÞ and its derivative B0ðaÞ should be replaced by AðaÞ and A0ðaÞ, respectively. The last part of the final paragraph inSec. IV should read “It is straightforward to see thatpz ¼14πam2þ1jk1am þ k2a−mjand pφ ¼m24πam2þ1jk1am þ k2a−mj: ð27ÞSo we find that pz > 0 and pφ ≥ 0, for all the values of the parameters. On the other hand, σ þ pr ¼ σ because the radialpressure is nonsingular on the shell. Then it is possible to satisfy the energy conditions when the energy density is positive.If the parameters are such that σ > 0, then an observer at rest at the throat, or an observer moving from one side of the throatto the other side would find only positive energy matter.” (Footnote 3 is removed). The last sentence in Sec. V should bereplaced by “In this case, we have shown that the weak energy condition is also satisfied.”The authors thank Cecilia Bejarano for pointing out the error.PHYSICAL REVIEW D 90, 089906(E) (2014)1550-7998=2014=90(8)=089906(1) 089906-1 © 2014 American Physical Society

Some general aspects of thin-shell wormholes with cylindrical symmetry

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