Accerelated Born-Infield Metrics in Kerr-Schild Geometry

Abstract

We consider Einstein Born–Infeld theory with a null fluid in Kerr–Schild geometry. We find accelerated charge solutions of this theory. Our solutions reduce to the Plebanski solution when the acceleration vanishes and to the ´ Bonnor–Vaidya solution as the Born–Infeld parameter b goes to infinity. We also give the explicit form of the energy flux formula due to the acceleration of the charged sources.