Resumen de Geometrical information coded in Maxwell's equations: a review

Daniel Baldomir Fernández, Manuel Pereiro López, Juan Enrique Arias Rodríguez

• Purpose – The purpose of this paper is to show how the geometrical information of Maxwell's equations is coded into the constitutive equations.

  Design/methodology/approach – The Maxwell's equations have been written with the tensorial algebra into a three‐dimensional Euclidean space and compared with the usual four‐dimensional relativistic approach.

  Findings – This simple geometry allows the finding of the relativistic information coded on the electric and magnetic fields, showing that they are not independent as relativity affirm obtaining their transformation for a moving inertial observer.

  Originality/value – The main value of the paper is to present a simple mathematical tool which enables the engineers or applied physicists to obtain the relativistic transformations of the fields without using four‐dimensional geometries and the more sophisticated mathematical techniques.