On invariance functions in Relativity Theory

Juan Hector Arredondo; J. Chargoy-Corona

Juan Hector Arredondo Department of Mathematics, Division of Basic Sciences and Engineering Metropolitan Autonomous UniversityAv. San Rafael Atlixco 186, Col Vicentina. Del Iztapalapa. Zip Code 09340. Mexico City, Mexico
J. Chargoy-Corona Department of Mathematics, Division of Basic Sciences and Engineering Metropolitan Autonomous UniversityAv. San Rafael Atlixco 186, Col Vicentina. Del Iztapalapa. Zip Code 09340. Mexico City, Mexico

Keywords: Lorentz group, Invariant function, equivariant function.

Abstract

A new result for equivariant functions in terms of invariant functions in the case of Minkowski space is given. This generalizes the work of Hall and Wightman in the sense that only equivariance is required. In particular, it implies the possibility of defining physical magnitudes independently of the choice of the coordinate system, like the center of mass for relativistic particles.

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