Soliton-like spherical symmetric solutions of the nonlinear spinor field equations in general relativity

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AuteurMASSOU, SIAKA
AuteurADOMOU, ALAIN ALEXIS COMLAN NICAISE
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2019
ResumeIn this research work, we opt for the static spherical symmetric metric. Thus, taking into account the own gravitational field of elementary particles, we have obtained exact static spheric symmetric solutions of the nonlinear spinor and gravitational fields equations. The nonlinear terms in the spinor lagrangian density characterize the self-interaction of a spinor field. We have investigated in detail equations with power and polynomial nonlinearities. In this case, we have obtained exact regular solutions which have a localized energy density and limited total energy (soliton-like solutions) only if the mass parameter in the spinor field equations is equal to zero. In additional to this, the total charge and the total spin are bounded. We have also shown that in the linear case, soliton-like solutions are absent. But in the flat space-time, the obtained solutions are soliton-like configurations. Therefore, the proper gravitational field of elementary particles, the geometrical properties of the metric and the nonlinear terms in the lagrangian density play a crucial role in the purpose to get the regular solutions with localized energy density and limited total energy.
Autre identifiantBECDB-10414
URIhttps://dspace.uac.bj/handle/123456789/9272
Languefr
Fait partie deinternational journal of mathematics and theoretical physics
SujetLagrangian
SujetMetric
SujetInvariant
SujetAt Space-time
TitreSoliton-like spherical symmetric solutions of the nonlinear spinor field equations in general relativity
TypeArticle

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