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Combination of Born–Infeld and Conformally Invariant Maxwell Lagrangians

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Abstract

Considering the advantages of two independent nonlinear electrodynamic models, we are going to combine them to obtain a unified theory. Taking into account the functional form of both the Born–Infeld and conformally invariant Maxwell Lagrangians, we use the composition method of two arbitrary functions F(x) and G(x) (\(FoG(x)=F(G(x))\) and \(GoF(x)=G(F(x))\)) to obtain a new nonlinear Lagrangian. We obtain an electric field related to this new Lagrangian by solving a nonlinear differential equation. The numerical results are in excellent agreement with the analytical solutions in special limits and we expect that our numerical code precisely predict the behavior of the electric field for more general cases.

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Authors and Affiliations

  1. Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran

    S. H. Hendi

  2. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, P.O. Box 55134-441, Iran

    S. H. Hendi

  3. Institute of Nuclear and Particle Physics and Department of Physics and Astronomy, Ohio University, Athens, OH, 45701, USA

    M. R. Hadizadeh

  4. Department of Physics and Astronomy, Ohio University, Athens, OH, 45701, USA

    R. Katebi

Authors
  1. S. H. Hendi
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  2. M. R. Hadizadeh
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  3. R. Katebi
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Correspondence to S. H. Hendi.

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Hendi, S.H., Hadizadeh, M.R. & Katebi, R. Combination of Born–Infeld and Conformally Invariant Maxwell Lagrangians. Iran J Sci Technol Trans Sci 42, 983–992 (2018). https://doi.org/10.1007/s40995-016-0060-5

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  • DOI: https://doi.org/10.1007/s40995-016-0060-5

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