We calculate the power and probability of electron radiation in a constant background tensor field violating Lorentz invariance. The angular distribution and polarization of radiation are investigated. Using modern experimental restrictions on the background field strength, it is shown that the radiation effect can manifest itself under astrophysical conditions at ultrahigh electron energy.
12.20.-m Quantum electrodynamics
12.60.-i Models beyond the standard model
$^1$Faculty of Physics, M. V. Lomonosov Moscow State University