Stealth spontaneous spinorization of relativistic stars

TL;DR

This paper explores the phenomenon of spontaneous spinorization in relativistic stars, showing that Dirac spinor fields can grow stealthily without observable effects due to nonlinear suppression.

Contribution

It introduces a model with modified Dirac kinetic terms and conformal coupling, demonstrating nontrivial spinor solutions and the stealth nature of spinorization in stellar backgrounds.

Findings

Nontrivial Dirac spinor solutions with multiple nodes in stellar backgrounds.

Spontaneous spinorization occurs as a stealth process with no observable effects.

Effective energy-momentum tensor components vanish after summation, indicating stealth behavior.

Abstract

We investigate the behavior of the Dirac spinor fields in general relativistic high density stellar backgrounds and the possibility of spontaneous spinorization which is analogous to spontaneous scalarization. We consider the model with the modified kinetic term of the Dirac field by the insertion of the fifth gamma matrix ${\hat \gamma}^5$ and the conformal coupling of the Dirac spinor field to the matter sector, which would lead to the tachyonic growth of the Dirac spinor field in the high density compact stellar backgrounds. In order to obtain the static and spherically symmetric solutions, we have to consider the two Dirac fields at the same time. We show that in the constant density stellar backgrounds our model gives rise to the nontrivial solutions of the Dirac spinor fields with any number of nodes, where one mode has one more nodes than the other. We also show that at the leading order all the components of the effective energy-momentum tensor of the Dirac spinor fields, after the summation over the two fields, vanish for any separable time-dependent ansatz of the Dirac spinor fields in any static and spherically symmetric spacetime backgrounds, indicating that spontaneous spinorization takes place as a stealth process in the static and spherically symmetric spacetime with any number of nodes, which would be quenched by nonlinear effects and leave no observable effects.