Spacetime structure of the global vortex

Gregory, Ruth; Santos, Caroline

doi:10.1088/0264-9381/20/1/302

Cited by 25 publications

(30 citation statements)

References 37 publications

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“…A debate on this issue is still ongoing. For a partial list of references on the (still open) issue of the stability of the global monopole, see: [33]; In the original suggestion of Goldhaber that global monopoles are not stable against "angular" collapse, there is an ongoing debate on this issue; for a partial list of references see: [34][35][36][37][38][39][40][41][42]. 5 The motivation for using the above matching comes from the observation that, at the origin (r → 0), the Higgs potential for the scalars leads to a cosmological constant ∝ η 4 , since any "matter" scalar fields…”

Section: Global Monopolesmentioning

confidence: 99%

Singular lensing from the scattering on special space–time defects

Mavromatos

Papavassiliou

2018

Eur. Phys. J. C

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It is well known that certain special classes of self-gravitating point-like defects, such as global (non gauged) monopoles, give rise to non-asymptotically flat space-times characterized by solid angle deficits, whose size depends on the details of the underlying microscopic models. The scattering of electrically neutral particles on such space-times is described by amplitudes that exhibit resonant behaviour when thescattering and deficit angles coincide. This, in turn, leads to ring-like structures where the cross sections are formally divergent ("singular lensing"). In this work, we revisit this particular phenomenon, with the twofold purpose of placing it in a contemporary and more general context, in view of renewed interest in the theory and general phenomenology of such defects, and, more importantly, of addressing certain subtleties that appear in the particular computation that leads to the aforementioned effect. In particular, by adopting a specific regularization procedure for the formally infinite Legendre series encountered, we manage to ensure the recovery of the Minkowski space-time, and thus the disappearance of the lensing phenomenon, in the nodefect limit, and the validity of the optical theorem for the elastic total cross section. In addition, the singular nature of the phenomenon is confirmed by means of an alternative calculation, which, unlike the original approach, makes no use of the generating function of the Legendre polynomials, but rather exploits the asymptotic properties of the Fresnel integrals.

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Section: Global Monopolesmentioning

confidence: 99%

Singular lensing from the scattering on special space–time defects

Mavromatos

Papavassiliou

2018

Eur. Phys. J. C

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“…The obtained unique brane world from a vacuum solution is identified with that of AdS branch in ref. [7,18]. It is also confirmed that any black p-brane structure cannot be formed with a horizon at a finite radius.…”

Section: Introductionmentioning

confidence: 61%

“…Comparison between the two metrics (2.2) and (2.15) provides 18) where x = cosh(ωr − γ). If we rewrite eq.…”

Section: Jhep06(2004)052mentioning

confidence: 99%

Scalar Hair of Global Defect and Black Brane World

Kim¹,

Park²

2004

J. High Energy Phys.

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We consider a complex scalar field in (p + 3)-dimensional bulk with a negative cosmological constant and study global vortices in two extra-dimensions. We reexamine carefully the coupled scalar and Einstein equations, and show that the boundary value of scalar amplitude at infinity of the extra-dimensions should be smaller than vacuum expectation value. The brane world has a cigar-like geometry with an exponentially decaying warp factor and a flat thick p-brane is embedded. Since a coordinate transformation identifies the obtained brane world as a black p-brane world bounded by a horizon, this strange boundary condition of the scalar amplitude is understood as existence of a short scalar hair.

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“…One finds objects analogous to these topological defects in condensed matter systems (where there is no gravity) for example in flux tubes in type-II superconductors [16], or vortex filaments in a superfluid [17]. Interesting discussions of cosmic strings in brane world scenario can be found in refs [18,19,20] It is important to remark that KR fields have already been introduced in the cosmic string context with dilaton gravity [21,22] and in global vortex with extra dimensions [23]. They are an important ingredient to described vortex configuration in condensed matter systems [24,25,16,17].…”

Section: Jhep03(2005)039mentioning

confidence: 99%

Topological mass term in effective Brane-World scenario with torsion

Braga

Ferreira

2005

J. High Energy Phys.

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In this work we investigate a braneworld scenario where a Kalb-Ramond field propagates, together with gravity, in a five dimensional AdS slice. The rank-2 KalbRamond field is associated with torsion. We study the compactification of the KalbRamond field to four dimensional space-time without gauge fixing, focusing on the effects of torsion. On the brane the Kalb-Ramond field interacts with A µ -gauge and scalar matter fields. We analyze the propagators of this theory and as an application investigate the consistency of such a model in the presence of a cosmic string configuration. One interesting feature of this model is the presence of topological charge coming from a topological mass term that couples the gauge field A µ with Kalb-Ramond modes.

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Spacetime structure of the global vortex

Cited by 25 publications

References 37 publications

Singular lensing from the scattering on special space–time defects

Singular lensing from the scattering on special space–time defects

Scalar Hair of Global Defect and Black Brane World

Topological mass term in effective Brane-World scenario with torsion

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