What happens to Q-balls if $Q$ is so large?

Abstract

In the system of a gravitating Q-ball, there is a maximum charge $Q_{\max }$ inevitably, while in flat spacetime there is no upper bound on $Q$ in typical models such as the Affleck-Dine model. Theoretically the charge $Q$ is a free parameter, and phenomenologically it could increase by charge accumulation. We address a question of what happens to Q-balls if $Q$ is close to $Q_{\max }$. First, without specifying a model, we show analytically that inflation cannot take place in the core of a Q-ball, contrary to the claim of previous work. Next, for the Affleck-Dine model, we analyze perturbation of equilibrium solutions with $Q\approx Q_{\max }$ by numerical analysis of dynamical field equations. We find that the extremal solution with $Q=Q_{\max }$ and unstable solutions around it are "critical solutions", which means the threshold of black-hole formation.

9 pages, 10 figures, results for large $\kappa$ added, to appear in PRD

References in corpus (7)

• Gravitino dark matter from Q-ball decays
• Some stationary properties of a $Q$-ball in arbitrary space dimensions
• Stability of Q-balls and Catastrophe
• Unified picture of Q-balls and boson stars via catastrophe theory
• How does gravity save or kill Q-balls?
• What are universal features of gravitating Q-balls?
• Gravitating Q-balls in the Affleck-Dine mechanism

Cited by in corpus (5)

• Dynamical Boson Stars
• Non-topological solitons and quasi-solitons
• Non-linear stability of soliton solutions for massive tensor-multi-scalar-theories
• Radiative corrections and instability of large Q-Balls
• RN-AdS Nontopoligical Solitons in Broken Einstein-Maxwell-Higgs Theory