Brans-Dicke cylindrical wormholes

Eiroa, Ernest O. F.; Simeone, Claudio

doi:10.1103/physrevd.82.084039

Cited by 52 publications

(34 citation statements)

References 55 publications

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“…This means that at the throat x = a 0 , and only y and φ are variable. As one sees from (18), there is an angular symmetry and as a result, not only σ 0 but also P y0 and P φ0 are only functions of y. In addition, P y0 is a constant function of y.…”

Section: Positive Matter Sourcesmentioning

confidence: 97%

Thin-shell wormholes supported by total normal matter

Mazharimousavi

Halilsoy

2014

Eur. Phys. J. C

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The Zipoy-Voorhees-Weyl (ZVW) spacetime characterized by mass (M) and oblateness (δ) is proposed in the construction of viable thin-shell wormholes (TSWs). A departure from spherical/cylindrical symmetry yields a positive total energy in spite of the fact that the local energy density may take negative values. We show that oblateness of the bumpy sources/black holes can be incorporated as a new degree of freedom that may play a role in the resolution of the exotic matter problem in TSWs. A small velocity perturbation reveals, however, that the resulting TSW is unstable.

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Section: Positive Matter Sourcesmentioning

confidence: 97%

Thin-shell wormholes supported by total normal matter

Mazharimousavi

Halilsoy

2014

Eur. Phys. J. C

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“…In Fig. 3a we plot both solution branches (17) as r = r (τ ). The test particle which moves towards the throat, reaches it at a finite time (with a zero velocity).…”

Section: Geodesicsmentioning

confidence: 99%

“…For example, cylindrically symmetric wormholes have deserved a considerable attention, mainly in relation to cosmic strings. Cylindrical wormhole throats may exist under slightly different conditions in comparison with spherically symmetric ones [15][16][17]. On the other hand, in Brans-Dicke gravity, Lorentzian wormholes are compatible with matter source which, apart from the Brans-Dicke scalar field, satisfies the EC [17,18].…”

Section: Introductionmentioning

confidence: 99%

Traversable Schwarzschild-like wormholes

2017

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In this paper we study relativistic static traversable wormhole solutions which are a slight generalization of Schwarzschild wormholes. In order to do this we assume a shape function with a linear dependence on the radial coordinate r . This linear shape function generates wormholes whose asymptotic spacetime is not flat: they are asymptotically locally flat, since in the asymptotic limit r → ∞ spacetimes exhibiting a solid angle deficit (or excess) are obtained. In particular, there exist wormholes which connect two asymptotically non-flat regions with a solid angle deficit. For these wormholes the size of their embeddings in a three-dimensional Euclidean space extends from the throat to infinity. A new phantom zero-tidal-force wormhole exhibiting such asymptotic is obtained. On the other hand, if a solid angle excess is present, the size of the wormhole embeddings depends on the amount of this angle excess, and the energy density is negative everywhere. We discuss the traversability conditions and study the impact of the β-parameter on the motion of a traveler when the wormhole throat is crossed. A description of the geodesic behavior for the wormholes obtained is also presented.

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“…Ever since, there have been extensive attempts to understand the various features of the new kind of wormholes. For a short list of such attempts we refer the reader to [5][6][7][8][9][10][11][12][13][14][15][16][17] and references cited therein. Among the works on TSWs we see generalizations to higher [18][19][20] and lower [21][22][23] dimensions, and extensions to Lovelock gravity [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%