Work

Nonlinear Spinor Field Equation of the Bilinear Pauli-Fierz Invariant Iv = S2 + P2: Exact Spherical Symmetric Soliton-Like Solutions in General Relativity

Year: 2022

Type: article

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.

Source: Applied Physics Research

DOI: 10.5539/apr.v14n2p47

Authors: Adebayo Louis Essoun, M. Abel Konnon, Siaka Massou

Institutions: Université d'Abomey-Calavi, National University of Sciences, Technologies, Engineering and Mathematics

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4309705366

FWCI:

Cites: 6

Cited by:

Related to: 10