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.
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Saha, B., Shikin, G.N. Static Plane-Symmetric Nonlinear Spinor and Scalar Fields in GR. Int J Theor Phys 44, 1459–1494 (2005). https://doi.org/10.1007/s10773-005-4780-0
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DOI: https://doi.org/10.1007/s10773-005-4780-0