Inextensible Flows of Null Cartan Curves in Minkowski Space
Universe, 2023 This research focused on studying the flows of a null Cartan curve specified by the velocity and acceleration fields. We have proven that the tangential and normal velocities are influenced by the binormal velocity along the motion.
Samah Gaber, Abeer Al Elaiw
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Universe, 2022 Spacetime torsion is known to be highly suppressed at the end of inflation, which is called preheating. This result was recently shown in (EPJ C (2022)) in the frame of Einstein–Cartan–Brans–Dicke inflation.
L. C. Garcia de Andrade
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Revisiting Volterra defects: geometrical relation between edge dislocations and wedge disclinations [PDF]
Royal Society Open ScienceThis study presents a comprehensive mathematical model for Volterra defects and explores their relations using differential geometry on Riemann–Cartan manifolds.
Shunsuke Kobayashi +2 more
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Non-Zero Coriolis Field in Ehlers’ Frame Theory [PDF]
GalaxiesEhlers’ Frame Theory is a class of geometric theories parameterized by λ:=1/c2 and identical to the General Theory of Relativity for λ≠0. The limit λ→0 does not recover Newtonian gravity, as one might expect, but yields the so-called Newton–Cartan theory
Federico Re, Oliver F. Piattella
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A Study on a Ruled Surface With Lightlike Ruling for a Null Curve With Cartan Frame
Bulletin of the Korean Mathematical Society, 2012 Tunahan Turhan
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A mixed variational principle in nonlinear elasticity using Cartan's moving frame and implementation with finite element exterior calculus [PDF]
Computer Methods in Applied Mechanics and Engineering, 2021 This article offers a new perspective for the mechanics of solids using moving Cartan’s frame, specifically discussing a mixed variational principle in non-linear elasticity. We treat quantities defined on the co-tangent bundles of reference and deformed
Bensingh Dhas +3 more
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A frame based approach to computing symmetries with non-trivial isotropy groups [PDF]
Journal of Mathematics and Physics, 2023 A frame approach to determining the most general solution admitting a desired symmetry group has previously been examined in Riemannian and teleparallel geometries with some success.
D. McNutt +2 more
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On the Bishop Frames of Pseudo Null and Null Cartan Curves in Minkowski 3-Space
Journal of Mathematical Analysis and Applications, 2018 Milica Grbović, Emilija Nešović
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Conformally-rescaled Schwarzschild metrics do not predict flat galaxy rotation curves
European Physical Journal C: Particles and Fields, 2022 For conformally invariant gravity theories defined on Riemannian spacetime and having the Schwarzschild–de-Sitter (SdS) metric as a solution in the Einstein gauge, we consider whether one may conformally rescale this solution to obtain flat rotation ...
Michael Hobson, Anthony Lasenby
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Geometrical modeling and numerical analysis of screw dislocation
Nihon Kikai Gakkai ronbunshu, 2021 This study conducts the modeling and numerical analysis of a screw dislocation in a three-dimensional continuous medium. Our modeling is based on the differential geometry of Weitzenböck manifold, i.e., a Riemann-Cartan manifold which equips itself with ...
Shunsuke KOBAYASHI, Ryuichi TARUMI
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