Gravitating Fermionic Lumps with a False Vacuum Core

TL;DR

This paper explores the existence and properties of gravitating fermionic lumps with false vacuum cores, emphasizing the role of gravity and fermion interactions in their formation and characteristics.

Contribution

It introduces a novel class of solutions involving fermions and scalar fields in gravity, highlighting conditions for their existence and dependence on physical parameters.

Findings

Lumps can exist at various scales in the universe.

Mass and size depend on scalar potential scale and fermion density.

Gravitational and Yukawa interactions are crucial for stability.

Abstract

We investigate gravitating lumps with a false vacuum core surrounded by the true vacuum in a scalar field potential. Such configurations become possible in the Einstein gravity in the presence of fermions at the core. Gravitational interactions as well as Yukawa interactions are essential for such lumps to exist. The mass and size of gravitating lumps sensitively depend on the scale characterizing the scalar field potential and the density of fermions. These objects can exist in the universe at various scales.