Spinors in cylindrically symmetric space-time

TL;DR

This paper investigates the behavior of nonlinear spinor fields in static cylindrically symmetric space-times, revealing nontrivial energy-momentum tensor components that impose restrictions on the geometry and field components, similar to cosmological models.

Contribution

It provides new insights into how nonlinear spinor fields influence space-time geometry through non-diagonal energy-momentum tensor components in cylindrically symmetric settings.

Findings

Energy-momentum tensor has non-diagonal components.

Restrictions on geometry and spinor components due to EMT.

Analogous behavior observed in Bianchi type-I cosmology.

Abstract

We studied the behavior of nonlinear spinor field within the scope of a static cylindrically symmetric space-time. It is found that the energy-momentum tensor (EMT) of the spinor field in this case possesses nontrivial non-diagonal components. The presence of non-diagonal components of the EMT imposes three-way restrictions wither on the space-time geometry or on the components of the spinor field or on both. It should be noted that analogical situation occurs in cosmology when nonlinear spinor field is exploited as a source of gravitational field given by Bianchi type-I cosmological model.