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A New Geometric Model of the Energy Functional of Lightlike Elastic Curves in Minkowski 4-Space

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In this work, we firstly describe conditions for being elastica for a moving particle corresponding to a different type of lightlike curves in Minkowski space 4 1. Then we investigate energy on distinct lightlike elastic curves in the space and we also exploit its relationship with the energy of the same particle in the Frenet vector fields in E4 1. Here, we use geometric descriptions of the curvature and the torsion of the curve for the computation of the energy of the lightlike elastic curves. Finally, we also characterize non-elastic lightlike curves in 4 1 and we compute their energies to see the distinction between energies of lightlike curves of the elastic and non-elastic case in Minkowski space 4 1.
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Keywords: ELASTIC CURVES; ENERGY; LIGHTLIKE PARTICLE; MINKOWSKI SPACE

Document Type: Research Article

Publication date: September 1, 2018

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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