Plane Symmetric Solutions to the Nonlinear Spinor Field Equations in General Relativity Theory

• 作者: A. Adomou Jonas Edou Siaka Massou
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: LAGRANGIAN Static Plane-Symmetric Metric Field EQUATIONS ENERGY-MOMENTUM Tensor Charge Density Current Vector SOLITON-LIKE Solution
• 年，卷（期）: 2019,（10）
• 页码范围: 1222-1234
• 页数: 13页
• 分类号: O1

摘要

We have obtained exact static plane-symmetric solutions to the spinor field equations with nonlinear terms which are arbitrary functions of invariant , taking into account their own gravitational field. It is shown that the initial set of the Einstein and spinor field equations with a power-law nonlinearity have regular solutions with a localized energy density of the spinor field only if m=0 (m is the mass parameter in the spinor field equations). Equations with power and polynomial nonlinearities are studied in detail. In this case, a soliton-like configuration has negative energy. We have also obtained exact static plane-symmetric solutions to the above spinor field equations in flat space-time. It is proved that in this case soliton-like solutions are absent.