On the radiation field of a linearly accelerated charged particle in Born–Infeld theory

The electric potential and the electromagnetic field for a linearly accelerated Born–Infeld charged particle are obtained in an inertial frame by a method that can, in principle, be applied to any electromagnetic theory. The method is based on (i) the fact that the metric near the horizon of a Schwarzschild black hole is equivalent to that of Rindler spacetime, and (ii) a theorem that guarantees that the electrostatic potential for a given nonlinear theory in a static, spherically symmetric spacetime is entirely specified by the Maxwellian electrostatic potential in the same background. Using analytical and numerical methods, the features of the radiation field and the radiation-reaction for such an accelerated particle are discussed in detail. •Local equivalence between Rindler and Schwarzschild’s spacetime.•Field nonlinearities influence a uniformly accelerating Born–Infeld charge.•Correspondingly, radiation-reaction force is also affected by nonlinearities in Born–Infeld electrodynamics.