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Exact Static Plane Symmetric Soliton-Like Solutions to the Nonlinear Interacting Electromagnetic and Scalar Field Equations in General Relativity

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Journal of High Energy Physics, Gravitation and Cosmology 2022年第1期8卷 164-177页

作者： arnaud edouard yamadjako Alain Adomou Yélomè J. F. Kpomahou Jonas Edou Siaka Massou Department of Physics University of Abomey-Calavi Abomey-Calavi Benin Department of Industrial and Technical Sciences ENSET-Lokossa UNSTIM-Abomey Abomey Benin National Higher Institute of Industrial Technology National University of Sciences Technologies Engineering and Mathematics of Abomey UNSTIM Abomey Benin

This research work is related to soliton solutions considered as models that can describe the complex configuration of elementary particles from the study of the interactions of their fields. It is interested in the interaction of fields between two different elementary particles by expressing their physical properties. For that, we have obtained, exact static plane symmetric soliton-like solutions to the nonlinear equations of interacting electromagnetic and scalar fields taking into account the own gravitational field of elementary particles using the calibrated invariance function P(I). It has been proved that all solutions of the Einstein, nonlinear electromagnetic and scalar field equations are regular with the localized energy density. Moreover, the total charge of particles is finite and the total energy of the interaction fields is bounded. It have been emphasized the importance to the own gravitational field of elementary particles and the role of the nonlinearity of fields in the determination of these solutions. In flat space-time, soliton-like solutions exist but the total energy of the interaction fields is equal to zero. We have also shown that in the linear case, soliton-like solutions are absent.

关键词： Scalar Electromagnetic Gravitational Fields Interaction’s Description of Elementary Particles

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

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Journal of High Energy Physics, Gravitation and Cosmology 2022年第1期8卷 147-163页

作者： arnaud E. yamadjako Alain Adomou Yélomè J. F. Kpomahou Jonas Edou Siaka Massou Department of Physics University of Abomey-Calavi Abomey-Calavi Benin Department of Industrial and Technical Sciences ENSET-Lokossa UNSTIM Abomey Benin 3National Higher Institute of Industrial Technology National University of Sciences Technologies Engineering and Mathematics of Abomey UNSTIM Abomey Benin

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.

关键词： Interaction Scalar Electromagnetic Gravitational Fields Description Configuration Elementary Particles

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