Gravitating Q-balls in the Affleck-Dine mechanism

Abstract

We investigate how gravity affects "Q-balls" with the Affleck-Dine potential $V_{AD}(\varphi ):=\frac{m^2}{2}{\varphi }^2[1+K\ln (\frac{\varphi }{M}{)}^2]$. Contrary to the flat case, in which equilibrium solutions exist only if $K<0$, we find three types of gravitating solutions as follows. In the case that $K<0$, ordinary Q-ball solutions exist; there is an upper bound of the charge due to gravity. In the case that K=0, equilibrium solutions called (mini-)boson stars appear due to gravity; there is an upper bound of the charge, too. In the case that $K>0$, equilibrium solutions appear, too. In this case, these solutions are not asymptotically flat but surrounded by Q-matter. These solutions might be important in considering a dark matter scenario in the Affleck-Dine mechanism.

5 pages, 7 figures

References in corpus (6)

• Gravitino dark matter from Q-ball decays
• Some stationary properties of a $Q$-ball in arbitrary space dimensions
• Stability of Q-balls and Catastrophe
• Q-balls in flat potentials
• Unified picture of Q-balls and boson stars via catastrophe theory
• How does gravity save or kill Q-balls?

Cited by in corpus (6)

• Dynamical Boson Stars
• Q-tubes and Q-crusts
• What are universal features of gravitating Q-balls?
• Unified pictures of Q-balls and Q-tubes
• Quasi-Compact Q-Balls
• What happens to Q-balls if $Q$ is so large?