Results 21 to 30 of about 2,400,148 (182)

Null hypersurface caustics, closed null curves, and super entropy [PDF]

open access: yesPhysical Review D, 2021
Recently it was discovered that null hypersurfaces can develop caustics outside the event horizon of super-entropic Kerr-AdS black holes, in contrast to the usual Kerr-AdS case. In this work we explore a few more examples of black hole spacetimes in which such exterior caustics can develop.
Sousuke Noda, Yen Chin Ong
openaire   +2 more sources

Transport along null curves [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2000
Fermi Transport is useful for describing the behaviour of spins or gyroscopes following non-geodesic, timelike world lines. However, Fermi Transport breaks down for null world lines. We introduce a transport law for polarisation vectors along non-geodesic null curves.
Samuel, Joseph, Nityananda, Rajaram
openaire   +3 more sources

Smarandache Breadth Pseudo Null Curves in Minkowski Space-time [PDF]

open access: yes, 2009
A regular curve with more than 2 breadths in Minkowski 3-space is called a Smarandache Breadth Curve [8]. In this short paper, we adapt notion of Smarandache breadth curves to Pseudo null curves in Minkowski space-time and study a special case of ...
Turgut, Melih, Melih Turgut
core   +1 more source

Null branes in curved backgrounds [PDF]

open access: yesPhysical Review D, 1999
19 pages, LaTeX, no figures. Extended version. To appear in Phys.
openaire   +2 more sources

Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, we aim to extend the Darboux frame field into 3-dimensional Anti-de Sitter space and obtain two cases for this extension by considering a parameterized curve on a hypersurface; then we carry out the Euler-Lagrange equations and derive ...
Samira Latifi   +2 more
doaj   +1 more source

Darboux Associated Curves of a Null Curve on Pseudo-Riemannian Space Forms

open access: yesMathematics, 2020
In this work, the Darboux associated curves of a null curve on pseudo-Riemannian space forms, i.e., de-Sitter space, hyperbolic space and a light-like cone in Minkowski 3-space are defined.
Jinhua Qian   +2 more
doaj   +1 more source

Evolutes of plane curves and null curves in Minkowski 3-space [PDF]

open access: yesJournal of Geometry, 2016
We use the isotropic projection of Laguerre geometry in order to establish a correspondence between plane curves and null curves in the Minkowski $3$-space. We describe the geometry of null curves (Cartan frame, pseudo-arc parameter, pseudo-torsion, pairs of associated curves) in terms of the curvature of the corresponding plane curves.
Nolasco, Boaventura, Pacheco, Rui
openaire   +2 more sources

Hamiltonian flows on null curves [PDF]

open access: yesNonlinearity, 2010
14 pages, v2: final version; minor changes in the ...
E. Musso, NICOLODI, Lorenzo
openaire   +5 more sources

Null quaternionic Bertrand curves in Minkowski space R₁⁴ [PDF]

open access: yes, 2016
In this study, we defined null quaternionic Bertrand curves in R₁⁴.
Tuna Aksoy, A.   +2 more
core   +1 more source

Spacelike Bertrand curves in Minkowski 3-space revisited

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In the geometry of curves in 𝔼3, if the principal normal vector field of a given space curve ϕ with non-zero curvatures is the principal normal vector field of another space curve ϕ*, then the curve ϕ is called a Bertrand curve and ϕ* is called Bertrand ...
Erdem Hatice Altın, İlarslan Kazım
doaj   +1 more source

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