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

TL;DR

This paper derives the electromagnetic field and radiation characteristics of a linearly accelerated charged particle within Born-Infeld nonlinear electrodynamics, using a novel method applicable to various electromagnetic theories.

Contribution

It introduces a new analytical and numerical approach to compute the radiation field of an accelerated charge in Born-Infeld theory, extending methods from black hole physics.

Findings

Radiation field features are characterized in detail.

Radiation-reaction effects are analyzed.

The method is applicable to other nonlinear electromagnetic theories.

Abstract

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.