Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory

  • Authors

    • A. E. Yamadjako Department of Physics, University of Abomey-Calavi, Abomey-Calavi, BENIN
    • A. Adomou National Higher Institute of Industrial Technology, National University of Sciences, Technologies, Engineering and Mathematics of Abomey, Abomey, Bénin
    • A. C. Houngan Laboratory of Thermophysical Characterization of Matérials and Energy Appropriation (Labo-C.T.M.E.), Polytechnic School of Abomey-Calavi (EPAC), UAC, Bénin
  • Interaction, scalar, electromagnetic, gravitational fields, description, configuration, elementary particles.
  • In this work, exact analytical static spherical symmetric solutions to the nonlinear interacting electromagnetic and massless scalar field equations have been determined taking into account the proper gravitational field of elementary particles. The obtained results prove that all solutions of the Einstein equation and those of the interacting fields are regular with localized energy density. All non-zero components of the 4-vector potential are solutions to the inverted Painlevé-Gambier XI equation. Moreover, the total energy of interacting fields is limited and the total charge of elementary particles is finite. These solutions obtained are soliton-like and can be used as a model to describe the internal structure of elementary particles.
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  • How to Cite

    Yamadjako, A. E., Adomou, A., & Houngan, A. C. (2022). Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory. International Journal of Basic and Applied Sciences, 11(1), 1-8.