Results 41 to 50 of about 783,588 (168)
Weingarten timelike tube surfaces around a spacelike curve, [PDF]
The subject of this paper is the study of a timelike tube surface around the spacelike curve with timelike and spacelike binormal vectors in a three-dimensional Minkowski space E 3 1 .
H S Abdel-Aziz, M Khalifa Saad
core
Evolutes of Hyperbolic Dual Spherical Curve in Dual Lorentzian 3-Space
Based on the E. Study's map, we study a timelike ruled surface as a curve on the hyperbolic dual unit sphere in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}$.
Rashad A. Abdel-Baky
doaj +2 more sources
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Stationary acceleration of Frenet curves
In this paper, the stationary acceleration of the spherical general helix in a 3-dimensional Lie group is studied by using a bi-invariant metric. The relationship between the Frenet elements of the stationary acceleration curve in 4-dimensional Euclidean
Nemat Abazari +3 more
doaj +1 more source
Curves in the Lorentz-Minkowski plane with curvature depending on their position
Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propound the same question in the Lorentz-Minkowski plane, focusing on spacelike
Castro Ildefonso +2 more
doaj +1 more source
A New Padé Approach to Modeling Wormholes in Dekel‐Zhao Dark Matter Halos
A matter‐first Padé strategy is introduced to build traversable wormholes from prescribed dark‐matter halos. Rational Padé fits approximately the Dekel–Zhao density and are analytically integrated to obtain a shape function that exactly reproduces the intended matter content, avoiding spurious poles of geometry‐first schemes.
Jonathan Alves Rebouças +4 more
wiley +1 more source
The aim of presentpaper is to introduce and investigate the spacelike Bezier curve with atimelike principal normal in Minkowski 3-space. The Serret-Frenet frame,curvatures and the derivation formulas of the curve at the starting and endingpoints are ...
Hatice Kuşak Samancı
doaj +1 more source
A Re‐Examination of Foundational Elements of Cosmology
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
Characterizations of timelike slant helices in Minkowski 3-space [PDF]
In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski $3$-space $\mathbb{E}_{1}^{3}$ and we construct their Frenet equations and curvature functions.
Ilarslan K. +8 more
core +1 more source
Blaschke frames and the motion of timelike ruled surfaces in Minkowski 3-space
This study explores the geometry of timelike ruled surfaces and their associated Blaschke frames in Minkowski 3-space. It establishes a mapping from spacelike differentiable curves to timelike ruled surfaces and derives the corresponding differential ...
Awatif Al-Jedani, Rashad A. Abdel-Baky
doaj +1 more source

