Abstract
Taking into account the own gravitational field of elementary particles, we have obtained exact static spherical symmetric
 solutions to the spinor field equation. The nonlinear terms LN are arbitrary functions of bilinear Pauli-Fierz invariant
 Iv = S2 + P2. It characterizes the self-interaction of a spinor field. We have investigated in detail equations with power
 and polynomial nonlinearities. The spinor field equation with a power-law nonlinearity have regular solutions with a
 localized energy density and regular metric. In this case a soliton-like configuration has finite and negative total energy.
 As for equations with polynomial nonlinearity, the obtained solutions are regular with a localized energy density and
 regular metric but its total energy is finite and positive.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
