Magnetic spherical indicatricies in Minkowski 3-space

Güler F., BAYRAM E., Kasap E.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.20, no.11, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 11
  • Publication Date: 2023
  • Doi Number: 10.1142/s0219887823501797
  • Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Magnetic curves, Magnetic flux ruled surfaces, Minkowski 3-space, Spherical indicatricies
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we examine curves drawn by a timelike or spacelike curvea on the pseudo-hyperbolic sphere H(0)(2 )and the unit Lorentzian sphere S(1)(2 )in three-dimensional Minkowski space Double-struck capital R-1(3). We present Lorentz forces and magnetic curves produced by the Frenet frame {T-T,N-T,B-T} on spherical indicatricies in a magnetic field of the curve a. We calculate magnetic vector fields of magnetic curves for T-T,N-T,B-T. Furthermore, we define magnetic flux surfaces constructed by magnetic vector fields along magnetic spherical indicatricies. We obtain developability conditions for these surfaces. Finally, we illustrate magnetic flux surfaces with some interesting examples.