A New Version of Spherical Magnetic Curves in the De-Sitter Space <inline-formula> <mml:math id="mm881" display="block"> <mml:semantics> <mml:msubsup> <mml:mi mathvariant="script">S</mml:mi> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula>

Abstract

This paper presents a new type of spacelike magnetic curves associated with the Sabban vector field defined in the Minkowski space. In this approach, some geometrical and physical features of the moving charged particle corresponding to the spacelike magnetic curves are identified. An entire characterization is developed for spacelike spherical magnetic curves, denoting particularly the changes of their energy with respect to time, the influence of the magnetic force on them, and the existence condition for the uniformity of these curves.

Keywords

• De-Sitter space
• magnetic field
• spacelike magnetic curve
• energy
• magnetic force
• uniform motion