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G. V. Shishkin and I. E. Andrushkevich, “Criteria of Separability of the Variables in the Dirac Equation in Gravitational Fields,” Theoretical and Mathematical Physics, Vol. 70, No. 2, 1987, pp. 204-214. doi:10.1007/BF01039211

has been cited by the following article:

• TITLE: Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton-Like Solutions

  AUTHORS: V. Adanhounme, A. Adomou, F. P. Codo, M. N. Hounkonnou

  KEYWORDS: Lagrangian; Static Spherical Symmetric Metric; Field Equations; Einstein Equations; Dirac Equation; Energy-Momentum Tensor; Charge Density; Current Vector; Soliton-Like Solution

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.9, September 24, 2012

  ABSTRACT: This paper deals with an extension of a previous work [Gravitation & Cosmology, Vol. 4, 1998, pp 107-113] to exact spherical symmetric solutions to the spinor field equations with nonlinear terms which are arbitrary functions of S=ψψ, taking into account their own gravitational field. Equations with power and polynomial nonlinearities are studied in detail. It is shown that the initial set of the Einstein and spinor field equations with a power nonlinearity has regular solutions with spinor field localized energy and charge densities. The total energy and charge are finite. Besides, exact solutions, including soliton-like solutions, to the spinor field equations are also obtained in flat space-time.