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Accelerated Born–Infeld metrics in Kerr–Schild geometry

Metin Gürses1 and Özgür Sarioglu2

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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.


PACS

04.20.Jb Exact solutions

02.40.-k Geometry, differential geometry, and topology

MSC

83C50 Electromagnetic fields

83C22 Einstein-Maxwell equations

83C15 Exact solutions

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 2 (21 January 2003)

Received 25 July 2002, in final form 19 November 2002

Published 3 January 2003



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