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Static Plane-Symmetric Nonlinear Spinor and Scalar Fields in GR
Authors:Bijan?Saha  author-information"  >  author-information__contact u-icon-before"  >  mailto:saha@thsun.jinr.ru"   title="  saha@thsun.jinr.ru"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,G.?N.?Shikin
Affiliation:(1) Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Dubna, Moscow, Russia, 141980;(2) Department of Theoretical Physics, Peoples' Friendship University of Russia 6, Miklukho Maklay Street, Moscow, Russia, 117198
Abstract:We consider a system of minimally coupled nonlinear spinor and scalar fields within the scope of a plane-symmetric gravitational field. The gravitational field plays crucial role in the formation of soliton-like solutions, i.e., solutions with limited total energy, spin, and charge. The change of the sign of the scalar field energy density of the system in question realizes physically if and only if the scalar charge does not exceed some critical value. In case of spinor field no such restriction on its parameter occurs. The choice of spinor field nonlinearity leads to the elimination of scalar field contribution to the metric functions, but leaves its contribution to the total energy unaltered. The spinor field is more sensitive to the gravitational field than the scalar field.
Keywords:nonlinear spinor field (NLSF)  nonlinear scalar field  plane-symmetric metric
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