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Conditions for obtaining the absolute magnetic trap (AMT) to be used for thecontrolled fusion by means of high power relativistic charged beam have beenconsidered. It is shown that AMT can not be created by external electromagneticfields. Also the virial theorem implies that strict stationary state of thesystem does not exist in empty flat Minkowski space-time in case of positivebeam pressure and positive electromagnetic field energy density.

Conditions for Existence of Compact Stationary Relativistic Beam Torus