Stealth spontaneous spinorization of relativistic stars

Understand

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.