Accelerated Born-Infeld metrics in Kerr-Schild geometry. (English) Zbl 1014.83033
Summary: 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 Plebański 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.
MSC:
83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
83C50 | Electromagnetic fields in general relativity and gravitational theory |