Results 51 to 60 of about 281 (174)
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
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ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE
: This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)).
Mustafa KAZAZ
doaj
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
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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
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Generation of closed timelike curves with rotating superconductors [PDF]
9 pages.
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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
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Axion Black Hole Solution in Non‐Metricity Gravity
Abstract A static, spherically symmetric black hole solution in symmetric teleparallel (non‐metricity) gravity sourced by an axion field is constructed. Starting from the modified field equations, exact configurations are obtained characterized by the mass M$M$ and an axion–geometry coupling β$\beta$, with temporal metric function A(r)=1−2Mr+βr$A(r)=1-\
A. Eid, G.G.L. Nashed
wiley +1 more source
Constraints on Data in Worlds with Closed Timelike Curves [PDF]
It is claimed that unacceptable constraints on initial data are imposed by certain responses to paradoxes that threaten time travel, closed timelike curves (CTCs) and other backwards causation hypotheses. In this paper I argue against the following claims: to say “contradictions are impossible so something must prevent the paradox” commits in general ...
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Open Timelike Curves Violate Heisenberg’s Uncertainty Principle [PDF]
Toy models for quantum evolution in the presence of closed timelike curves (CTCs) have gained attention in the recent literature due to the strange effects they predict. The circuits that give rise to these effects appear quite abstract and contrived, as they require non-trivial interactions between the future and past which lead to infinitely ...
Pienaar, J. L. +2 more
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Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley +1 more source

