scholarly journals Accounting for the large radial tension in Morris–Thorne wormholes

2020 ◽  
Vol 135 (6) ◽  
Author(s):  
Peter K. F. Kuhfittig
Keyword(s):  
1998 ◽  
Vol 13 (38) ◽  
pp. 3069-3072
Author(s):  
L. C. GARCIA DE ANDRADE

Negative energy densities in spinning matter sources of non-Riemannian ultrastatic traversable wormholes require the spin energy density to be higher than the negative pressure or the radial tension. Since the radial tension necessary to support wormholes is higher than the spin density in practice, it seems very unlikely that wormholes supported by torsion may exist in nature. This result corroborates earlier results by Soleng against the construction of the closed time-like curves (CTC) in space–time geometries with spin and torsion. It also agrees with earlier results by Kerlick according to which Einstein–Cartan (EC) gravity torsion sometimes enhance the gravitational collapse instead of avoiding it.


1995 ◽  
Vol 04 (02) ◽  
pp. 231-245 ◽  
Author(s):  
M.S.R. DELGATY ◽  
R.B. MANN

Macroscopic traversable wormhole solutions to Einstein’s field equations in (2+1) and (3+1) dimensions with a cosmological constant are investigated. Ensuring traversability severely constrains the material used to generate the wormhole’s spacetime curvature. Although the presence of a cosmological constant modifies to some extent the type of matter permitted [for example it is possible to have a positive energy density for the material threading the throat of the wormhole in (2+1) dimensions], the material must still be “exotic,” that is matter with a larger radial tension than total mass-energy density multiplied by c2. Two specific solutions are applied to the general cases and a partial stability analysis of a (2+1) dimensional solution is explored.


1993 ◽  
Vol 119 (9) ◽  
pp. 2701-2719 ◽  
Author(s):  
Mehdi S. Zarghamee ◽  
Rasko P. Ojdrovic ◽  
William R. Dana

1997 ◽  
Vol 119 (2) ◽  
pp. 133-137 ◽  
Author(s):  
W. W. King ◽  
C. J. Aloisio

Sometimes the polymer coating on an optical fiber is observed to have separated from the fiber over a small portion of the interface. Irregularities on the capstans and sheaves of draw, rewind, coloring, and cabling machines can initiate such delaminations. Subsequent growth would not be anticipated under the condition of radial compressive stress that might be expected for a coating shrinking over a relatively rigid fiber as the composite cools during manufacture. Compressive stress is indeed found at the interface when a single-layer coating is used. However, for a two-layer system, having a high-modulus secondary over a low-modulus primary (for improved protection against microbending), the different rates of thermal expansion can lead to radial tension at the silica/primary interface, and this tension can “drive” the growth of delaminations. A principal result of this study is that the analysis predicts the primary coating, although rubbery, to be approximately in a state of uniform hydrostatic tension. This tensile stress is of substantial magnitude because of constraints imposed by the relatively stiff secondary coating and by the fiber. The existence of significant radial tension at the fiber surface is consistent with experimental observations of induced delaminations, which are seen to grow long after cessation of external disturbances.


1968 ◽  
Vol 35 (3) ◽  
pp. 499-504
Author(s):  
E. L. Kyser

The linear dipolar field equations for an initially flat surface are presented and applied to an elastic isotropic surface. The equations separate into extensional and bending equations, and the extensional equations are discussed in detail. A general representation of the extensional solution is obtained, and is used to solve the stress-concentration problem of an infinite initially flat surface with a circular hole subjected to uniform radial tension at infinity. The stress-concentration factor differs from those obtained or implied by other theories (both classical and nonclassical), and the differences are discussed. Agreement with the classical result is obtained in one limiting case.


1993 ◽  
Vol 119 (9) ◽  
pp. 2720-2732 ◽  
Author(s):  
Mehdi S. Zarghamee ◽  
Rasko P. Ojdrovic ◽  
William R. Dana

2020 ◽  
Vol 3 ◽  
Author(s):  
Adam Lonnberg ◽  
Kara Garcia

Background/Objective: During early cerebral cortex development, neurons form from proliferative glial cells near the ventricular (apical) surface, then migrate along radial glial scaffolds to the cortical surface. In species with wrinkled brains, the presence of basal radial glial cells (bRGCs), radial glial cells which have detached from the ventricular surface, is correlated to the process of gyrification. While mechanical forces are also involved in gyrus creation, the link between the mechanical and biological aspects of this process remains unelucidated. In this study, we hypothesized that radial tension may lead to the production of gyri via the intermediary creation of bRGCs.  Methods: To test this hypothesis, the cell-level modeling software CX3D was used to simulate a system in which radial tension acts on radial glial cells (RGCs), facilitating the semi-stochastic production of bRGCs during the process of neocortex development. The outcome of this model was contrasted with a control case in which bRGCs were not allowed to form, and the two models were compared based upon the presence of neurons on the basal surface.  Results: The production of bRGCs via tension corresponded to a significant increase in the presence of neurons on the pial surface, even if the total number of glial cells—and thus total number of neurons generated—remained constant. Additionally, the likelihood of neurons moving more basally was found to be significantly greater in the presence of bRGCs.  Conclusion and Potential Impact: These results were interpreted to be indications of early gyrus formation. Thus, this study showed that bRGCs—and, ultimately, gyri—may arise from mechanical tension, indicating a possible link between the biological and mechanical explanations of gyrus formation. By providing an alternative lens through which to understand cortical folding, this may have implications for future lines of inquiry, which may expand our understanding of neuro-pathologies associated with misfolding, such as autism and epilepsy. 


Author(s):  
B. V. Bucketkin ◽  
V. M. Zyablikov ◽  
I. E. Semenov-Yezhov ◽  
A. A. Shirshov

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