Spinor fields in spherically symmetric space-time

TL;DR

This paper investigates how nonlinear spinor fields influence the formation of spherically symmetric configurations in space-time, revealing restrictions from energy-momentum tensor components and conditions for solutions involving metric functions.

Contribution

It explores the impact of nonlinear spinor fields on spherically symmetric space-time configurations and identifies constraints from energy-momentum tensor components.

Findings

Non-diagonal energy-momentum tensor components impose restrictions on the spinor field.

Solutions exist only under specific conditions on metric functions.

Spinor fields significantly alter the metric functions in spherically symmetric space-time.

Abstract

Within the scope of a spherically symmetric space-time we study the role of a nonlinear spinor field in the formation of different configurations with spherical symmetries. The presence of the non-diagonal components of energy-momentum tensor of the spinor field leads to some severe restrictions on the spinor field itself. Since spinor field is the source of the gravitational one, the metric functions also changes in accordance with it. The system as a whole possesses solutions only in case of some additional conditions on metric functions.