Results 1 to 10 of about 36 (35)
Gravitational field of Schwarzschild soliton
Arab Journal of Mathematical Sciences, 2015 The aim of this paper is to study the gravitational field of Schwarzschild soliton. Use of characteristic of λ-tensor is given to determine the kinds of gravitational fields.
Zafar Ahsan
exaly +3 more sources
Are There Any Natural Physical Interpretations for Some Elementary Inequalities?
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space.
Bosko Wladimir G., Suceavă Bogdan D.
doaj +1 more source
Elastic Sturmian spirals in the Lorentz-Minkowski plane
Open Mathematics, 2016 In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form.
Uçum Ali +2 more
doaj +1 more source
Synge‐Beil and Riemann‐Jacobi jet structures with applications to physics
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1693-1702, 2003., 2003 In the framework of geometrized first‐order jet approach, we study the Synge‐Beil generalized Lagrange jet structure, derive the canonic nonlinear and Cartan connections, and infer the Einstein‐Maxwell equations with sources; the classical ansatz is emphasized as a particular case.
Vladimir Balan
wiley +1 more source
Journal of Applied Mathematics, Volume 2, Issue 7, Page 337-370, 2002., 2002 We solve the problem of description of nonsingular pairs of compatible flat metrics for the general N‐component case. The integrable nonlinear partial differential equations describing all nonsingular pairs of compatible flat metrics (or, in other words, nonsingular flat pencils of metrics) are found and integrated.
Oleg I. Mokhov
wiley +1 more source
On the vertical bundle of a pseudo‐Finsler manifold
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 637-642, 1999., 1999 We define the Liouville distribution on the tangent bundle of a pseudo‐Finsler manifold and prove that it is integrable. Also, we find geometric properties of both leaves of Liouville distribution and the vertical distribution.
Aurel Bejancu, Hani Reda Farran
wiley +1 more source
Bobillier Formula for the Elliptical Harmonic Motion
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this study, we have considered the elliptical harmonic motion which is the superposition of two simple harmonic motions in perpendicular directions with the same angular frequency and phase difference of π/2 .
Dundar Furkan Semih +2 more
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On the geometric nature of the twin paradox in curved spacetimes
Demonstratio Mathematica, 2017 The famous „twin paradox” of special relativity is of purely geometric nature and formulated in curved spacetimes of general relativity motivates investigations of the timelike geodesic structure of these manifolds.
Sokołowski Leszek M.
doaj +1 more source
On the ME‐manifold in n‐*g‐UFT and its conformal change
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 79-90, 1994., 1993 An Einstein′s connection which takes the form (3.1) is called an ME‐connection. A generalized n‐dimensional Riemannian manifold Xn on which the differential geometric structure is imposed by a tensor field *gλν through a unique ME‐connection subject to the conditions of Agreement (4.1) is called *g‐ME‐manifold and we denote it by *g‐MEXn.
Kyung Tae Chung, Gwang Sik Eun
wiley +1 more source
On Twisted Spacetimes: a new class of Galilean cosmological models
Advanced Nonlinear StudiesWithin the generalized Newton-Cartan theory, Galilean Twisted spacetimes are introduced as dual models of the well-known relativistic twisted spacetimes.
de la Fuente Daniel +2 more
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