Tensor of the energy - momentum and forbiddance of the classical Lump

摘要

We show that the static solutions of massive classical fields are forbiddenin the Minkowski space time with dimensions higher than $2$. The purpose ofthis study is to generalize the forbiddance of the time independent localizedclassical fields in general space time. We generalize the Derrick theorem asunstable stationary localized solutions for the nonlinear wave equation or thenonlinear Klein - Gordon equation in Minkowski space time. Our approach employsthe tensor of the energy - momentum based on Weber's method. We exploite theBateman - Caldilora - Kanai model and the Deser method for the research of theYang - Mills Lumps as massive solutions. We also use Riemann's coordinates forparametrization of tangent space as a local framework. The important point ofthis article is the homomorphism between the Minkowsian and pseudo Riemann'smanifolds.