The stress of plastic flow and the dislocation density in sodium and potassium chlorides

Novikov, N. N.

doi:10.1007/bf00822006

Cited by 2 publications

(3 citation statements)

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“…That work led to solutions of the Einstein-Maxwell system where the gravitational attraction is solely balanced by magnetic stresses. Studies of contracting charged dust have also suggested that the fluid may 'rebounce', thus preventing black-hole formation [4]. It has been argued, on the other hand, that a collapsing spherically symmetric charged dust will produce naked singularities due to shell crossing [5].…”

Section: Introductionmentioning

confidence: 99%

Magnetic tension and gravitational collapse

Tsagas¹

2006

Class. Quantum Grav.

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The gravitational collapse of a magnetised medium is investigated by studying qualitatively the convergence of a timelike family of non-geodesic worldlines in the presence of a magnetic field. Focusing on the field's tension we illustrate how the winding of the magnetic forcelines due to the fluid's rotation assists the collapse, while shear-like distortions in the distribution of the field's gradients resist contraction. We also show that the relativistic coupling between magnetism and geometry, together with the tension properties of the field, lead to a magneto-curvature stress that opposes the collapse. This tension stress grows stronger with increasing curvature distortion, which means that it could potentially dominate over the gravitational pull of the matter. If this happens, a converging family of non-geodesic lines can be prevented from focusing without violating the standard energy conditions. PACS number(s): 04

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Section: Introductionmentioning

confidence: 99%

Magnetic tension and gravitational collapse

Tsagas¹

2006

Class. Quantum Grav.

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“…In [4], for example, magnetism was found capable of halting the contraction of a finite cylinder, while in [5] the authors provided a static solution of the Einstein-Maxwell equations with a pressure-free matter component. It has also been shown that the spherically symmetric collapse of a charged star could bounce [7], although the bounce seems to cause naked shell-crossing singularities [8]. More recently, it was argued that magneto-curvature tension stresses could also affect the collapse of a conventional magnetized fluid [14].…”

Section: Discussionmentioning

confidence: 99%

“…Other work, however, indicated that locally naked singularities may develop in some cases [6]. Studies of contracting charge dust has suggested that the fluid may "rebounce", thus preventing black-hole formation [7]. It has been argued, on the other hand, that a collapsing spherically symmetric charged dust will inevitably produce naked singularities due to shellcrossing [8].…”

Section: Introductionmentioning

confidence: 99%

Magnetized Tolman-Bondi collapse

Germani

Tsagas

2006

Phys. Rev. D

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We investigate the gravitational implosion of magnetized matter by studying the inhomogeneous collapse of a weakly magnetized Tolman-Bondi spacetime. The role of the field is analyzed by looking at the convergence of neighboring particle worldlines. In particular, we identify the magnetically related stresses in the Raychaudhuri equation and use the Tolman-Bondi metric to evaluate their impact on the collapsing dust. We find that, despite the low energy level of the field, the Lorentz force dominates the advanced stages of the collapse, leading to a strongly anisotropic contraction. In addition, of all the magnetic stresses, those that resist the collapse are found to grow faster.

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The stress of plastic flow and the dislocation density in sodium and potassium chlorides

Cited by 2 publications

References 1 publication

Magnetic tension and gravitational collapse

Magnetic tension and gravitational collapse

Magnetized Tolman-Bondi collapse

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