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http://arxiv.org/abs/math-ph/9902011v1

has been cited by the following article:

• TITLE: Soliton-Like Spherical Symmetric Solutions to the Electromagnetic and Scalar Nonlinear Induction Field Equations in the General Relativity Theory

  AUTHORS: Arnaud E. Yamadjako, Alain Adomou, Yélomè J. F. Kpomahou, Jonas Edou, Siaka Massou

  KEYWORDS: Interaction, Scalar, Electromagnetic, Gravitational Fields, Description, Configuration, Elementary Particles

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.8 No.1, January 6, 2022

  ABSTRACT: In this paper, we have used the static spherical symmetric metric. The parameter of the nonlinearity fields is included in the arbitrary function characterizing the interaction between the electromagnetic and scalar fields. Taking into account the own gravitational field of elementary particles, we have obtained exact static spherical symmetric solutions to the electromagnetic and scalar field equations of nonlinear induction. Considering all forms of the solution of Liouville equation, we proved that the metric functions are regular with localized energy density. Moreover, the total energy of the nonlinear induction fields is bounded and the total charge of the elementary particles has a finite value (soliton-like). In the flat space-time, soliton-like solutions exist.