TL;DR
This paper develops a formalism for q-stars with local and global U(1) symmetry, solving their equations numerically to analyze stability, behavior under different symmetries, and effects of non-minimal energy-momentum coupling.
Contribution
It introduces a comprehensive formalism for q-stars with local and global symmetries and explores their stability and properties through numerical solutions.
Findings
Q-stars remain stable and do not decay into free particles.
Electrostatic repulsion prevents gravitational collapse of q-stars.
Stability persists even with non-minimal energy-momentum coupling, sometimes without gravity.
Abstract
We present the formalism of q-stars with local or global U(1) symmetry. The equations we formulate are solved numerically and provide the main features of the soliton star. We study its behavior when the symmetry is local in contrast to the global case. A general result is that the soliton remains stable and does not decay into free particles and the electrostatic repulsion preserves it from gravitational collapse. We also investigate the case of a q-star with non-minimal energy-momentum tensor and find that the soliton is stable even in some cases of collapse when the coupling to gravity is absent.
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