A Liquid Crystal Analogue of the Cosmic String

Sátiro, Caio; Moraes, Fernando

doi:10.1142/s0217732305018013

Cited by 36 publications

(31 citation statements)

References 12 publications

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“…Our intention now is to extend these studies not only to other dimensions but mostly to consider this dynamics in general background spacetimes produced by topological defects using KaluzaKlein theory [2,[38][39][40][41][42]. These sources of gravitational fields play an important role in condensed matter physics systems [43][44][45][46], mainly due to the possibility to compensate for the elastic contribution introduced by the defect by fine tuning of the external magnetic field. Besides topological defects like cosmic strings [47] and domain walls [48], a global monopole [49] provides a tiny relation between the effects in cosmology and gravitation and those in condensed matter physics systems, where topological defects analogous to cosmic strings appear in phase transitions in liquid crystals [50,51].…”

Section: Introductionmentioning

confidence: 99%

Klein–Gordon oscillator in Kaluza–Klein theory

et al. 2016

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In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of the interaction between particles coupled harmonically with topological defects in Kaluza-Klein theory is studied. We consider a series of topological defects, then we treat the Klein-Gordon oscillator coupled to this background, and we find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein-Gordon oscillator interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case, the energy spectrum is determined, and we observe that these energy levels represent themselves as the sum of the terms related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime.

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Section: Introductionmentioning

confidence: 99%

Klein–Gordon oscillator in Kaluza–Klein theory

et al. 2016

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“…The similarity with defect formation in the early universe has also turned liquid crystals into mini laboratories for testing the formation and dynamics of cosmic topological defects [6][7][8][9][10]. It has also led one of us (FM) and co-workers to explore the optical properties of defects in a liquid crystal in a geometric setting very much like their cosmic analogues [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Nematic liquid crystal dynamics under applied electric fields

et al. 2010

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In this paper we investigate the dynamics of liquid crystal textures in a two-dimensional nematic under applied electric fields, using numerical simulations performed using a publicly available LIquid CRystal Algorithm (LICRA) developed by the authors. We consider both positive and negative dielectric anisotropies and two different possibilities for the orientation of the electric field (parallel and perpendicular to the two-dimensional lattice). We determine the effect of an applied electric field pulse on the evolution of the characteristic length scale and other properties of the liquid crystal texture network. In particular, we show that different types of defects are produced after the electric field is switched on, depending on the orientation of the electric field and the sign of the dielectric anisotropy.

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“…) Perhaps the most extensive use of pseudo-Finsler geometries has been within the "analog space-time" community 20 where Finsler-like structures have arisen in the context of normal mode analyses, 49,87,88 in multi-component BEC acoustics, 50,[89][90][91] and in nematic liquid crystals. 92,93 …”

Section: Discussionmentioning

confidence: 99%

Pseudo-Finslerian Space–times and Multirefringence

Skákala

Visser

2010

Int. J. Mod. Phys. D

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Ongoing searches for a quantum theory of gravity have repeatedly led to the suggestion that space-time might ultimately be anisotropic (Finsler-like) and/or exhibit multirefringence (multiple signal cones). Multiple (and even anisotropic) signal cones can be easily dealt with in a unified manner, by writing down a single Fresnel equation to simultaneously encode all signal cones in an even-handed manner. Once one gets off the signal cone and attempts to construct a full multirefringent space-time metric the situation becomes more problematic. In the multirefringent case we shall report a significant no-go result: in multirefringent models there is no simple or compelling way to construct any unifying notion of pseudo-Finsler space-time metric, different from a monorefringenent model, where the signal cone structure plus a conformal factor completely specifies the full pseudo-Riemannian metric.To throw some light on this situation we use an analog model where both anisotropy and multirefringence occur simultaneously: biaxial birefringent crystal. But the significance of our results extends beyond the optical framework in which (purely for pedagogical reasons) we are working, and has implications for any attempt at introducing multirefringence and intrinsic anisotropies to any model of quantum gravity that has a low energy manifold-like limit.

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A Liquid Crystal Analogue of the Cosmic String

Abstract: We consider the propagation of light in a anisotropic medium with a topological line defect in the realm of geometrical optics. It is shown that the effective geometry perceived by light propagating in such medium is that of a spacial section of the cosmic string spacetime.

Cited by 36 publications

References 12 publications

Klein–Gordon oscillator in Kaluza–Klein theory

Klein–Gordon oscillator in Kaluza–Klein theory

Nematic liquid crystal dynamics under applied electric fields

Pseudo-Finslerian Space–times and Multirefringence

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