TITLE:
Spherical Symmetric Solitons of Interacting Spinor, Scalar and Gravitational Fields in General Relativity
AUTHORS:
Jonas Edou, Alain Adomou, Siaka Massou
KEYWORDS:
Liouville Type Equation, Elementary Particles, Einstein’s Equations, Metric Functions
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.7 No.1,
December
1,
2020
ABSTRACT: The concept of soliton as regular localized stable solutions of nonlinear differential equations is being widely utilized in pure science for various aims. In present analysis, the soliton concept is used as a model in order to describe the configurations of elementary particles in general relativity. To this end, our study deals with the spherical symmetric solitons of interacting Spinor, Scalar and Gravitational Fields in General Relativity. Thus, exact spherical symmetric general solutions to the interaction of spinor, scalar and gravitational field equations have been obtained. The Einstein equations have been transformed into a Liouville equation type and solved. Let us emphasize that these solutions are regular with localized energy density and finite total energy. In addition, the total charge and spin are limited. Moreover, the obtained solutions are soliton-like solutions. These solutions can be used in order to describe the configurations of elementary particles.