On Causal Characterization of Spherical Indicatrices of Timelike Curves in Minkowski 3-Space

Abstract

The aim of this paper is to discuss the causal characterization of spherical indicatrices of timelike curves in Minkowski 3-space. Firstly, we focus on the introduction of curves in Minkowski 3-space with its Frenet equations. In the next section the concept of spherical indicatrix of tangent, normal and binormal vectors of timelike curves is provided structurally with their casual properties. In addition, numerical example is provided in the last section.