Simple deductions of the integral representations of the relativistic Faraday and Ampère-Maxwell laws and the relativistic transformation laws of the electromagnetic field

Abstract

By using simple concepts of special relativity and the differential representations of the Faraday and Ampère-Maxwell laws, we deduce their Gelman-Monsivais integral representation. The relativistic transformation laws of the electromagnetic field are also obtained without using tensorial analysis or covariant concepts

Translated abstract

Usando conceptos simples de la relatividad especial y las representaciones diferenciales de las ecuaciones de Faraday y Ampère-Maxwell, se deducen las representaciones integrales de Gelman-Monsivais de estas ultimas. Se obtienen al mismo tiempo las leyes de las transformaciones relativistas del campo electromagnético sin utilizar análisis tensorial o conceptos covariantes