General-relativistic model of a spinning cosmic string

Jensen, Bjørn; Soleng, Harald H.

doi:10.1103/physrevd.45.3528

Cited by 58 publications

(54 citation statements)

References 45 publications

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“…Cosmic string may eventually present an internal structure [20] generating a Gödel spacetime featuring an exotic region which allows closed time-like curves (CTC's) around the singularity. The frontier of this region is at a distance proportional to J/α from the string, thus offering a natural boundary condition.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Landau levels in the rotating cosmic string spacetime

et al. 2016

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In the spacetime induced by a rotating cosmic string we compute the energy levels of a massive spinless particle coupled covariantly to a homogeneous magnetic field parallel to the string. Afterwards, we consider the addition of a scalar potential with a Coulomb-type and a linear confining term and completely solve the Klein-Gordon equations for each configuration. Finally, assuming rigid-wall boundary conditions, we find the Landau levels when the linear defect is itself magnetized. Remarkably, our analysis reveals that the Landau quantization occurs even in the absence of gauge fields provided the string is endowed with spin.

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Section: Introductionmentioning

confidence: 99%

Relativistic Landau levels in the rotating cosmic string spacetime

et al. 2016

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“…In this section we will, by a rescalingr → r(r), write the metric in the following form 14) where the constant χ is defined as…”

Section: The Rotating String With Tensionmentioning

confidence: 99%

Junction conditions in general relativity with spin sources

2006

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The junction conditions for General Relativity in the presence of domain walls with intrinsic spin are derived in three and higher dimensions. A stress tensor and a spin current can be defined just by requiring the existence of a well defined volume element instead of an induced metric, so as to allow for generic torsion sources. In general, when the torsion is localized on the domain wall, it is necessary to relax the continuity of the tangential components of the vielbein. In fact it is found that the spin current is proportional to the jump in the vielbein and the stress-energy tensor is proportional to the jump in the spin connection. The consistency of the junction conditions implies a constraint between the direction of flow of energy and the orientation of the spin. As an application, we derive the circularly symmetric solutions for both the rotating string with tension and the spinning dust string in three dimensions. The rotating string with tension generates a rotating truncated cone outside and a flat spacetime with inevitable frame dragging inside. In the case of a string made of spinning dust, in opposition to the previous case no frame dragging is present inside, so that in this sense, the dragging effect can be "shielded" by considering spinning instead of rotating sources. Both solutions are consistently lifted as cylinders in the four-

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“…After the seminal papers by Morris, Thorne and Yurtsever [1], the notion of a time machine has jumped from the pages of science fiction books to those of scientific journals, giving rise to a recent influx of papers [2][3][4][5][6][7] and books [8,9] on the subject. Several potentially useful models for time machines have since been proposed, including the wormhole of Thorne et al [1], the Gott's couple of cosmic strings set at relative motion [2], its Grant's extension [3], the Politzer's machine [4], Roman rings [5] and, ultimately, a time machine based on the so-called ringholes [6].…”

Section: Introductionmentioning

confidence: 99%

Quantum time machine

González-Dı́az

1998

Phys. Rev. D

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The continuation of Misner space into the Euclidean region is seen to imply the topological restriction that the period of the closed spatial direction becomes time-dependent. This restriction results in a modified Lorentzian Misner space in which the renormalized stress-energy tensor for quantized complex massless scalar fields becomes regular everywhere, even on the chronology horizon. A quantum-mechanically stable time machine with just the sub-microscopic size may then be constructed out of the modified Misner space, for which the semiclassical Hawking's chronology protection conjecture is no longer an obstruction. PACS number(s): 04.20. Gz, 04.62.+v

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General-relativistic model of a spinning cosmic string

Cited by 58 publications

References 45 publications

Relativistic Landau levels in the rotating cosmic string spacetime

Relativistic Landau levels in the rotating cosmic string spacetime

Junction conditions in general relativity with spin sources

Quantum time machine

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