2016•Open MathematicsOpen access

Elastic Sturmian spirals in the Lorentz-Minkowski plane

Ali Uçum, Kazım İlarslan, Ivaïlo M. Mladenov

Abstract

Abstract 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. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.

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Available abstract

Key concepts: Minkowski space, Lorentz transformation, Mathematics, Hyperboloid model, Plane (geometry), Mathematical analysis, Lorentz force, Lorentz covariance