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We present an investigation of the electromagnetic instabilities which aretrig gered when an ultra relativistic electron beam passes through a plasma.The linear growth rate is computed for every direction of propagation of theunstable modes, and temperatures are modelled using simple waterbagdistribution functions. The ultra relativistic unstable spectrum is locatedaround a very narrow band centered on a critical angle which value is givenanalytically. The growth rate of modes propagating in this direction decreaseslike k^(-1/3).Comment: 5 pages, 3 figures, to appear in EuroPhysics Letter

Oblique electromagnetic instabilities for an ultra relativistic electron beam passing through a plasma