Unified picture of Q-balls and boson stars via catastrophe theory

Abstract

We make an analysis of Q-balls and boson stars using catastrophe theory, as an extension of the previous work on Q-balls in flat spacetime. We adopt the potential $V_3(\varphi )=\frac{m^2}{2}{\varphi }^2-\mu {\varphi }^3+\lambda {\varphi }^4$ for Q-balls and that with $\mu =0$ for boson stars. For solutions with $|g^{rr}-1|\sim 1$ at its peak, stability of Q-balls has been lost regardless of the potential parameters. As a result, phase relations, such as a Q-ball charge versus a total Hamiltonian energy, approach those of boson stars, which tell us an unified picture of Q-balls and boson stars.

10 pages, 13 figures

References in corpus (5)

• Gravitational Stability of Boson Stars
• Rotating Boson Stars and Q-Balls II: Negative Parity and Ergoregions
• Some stationary properties of a $Q$-ball in arbitrary space dimensions
• Stability of Q-balls and Catastrophe
• Sigma Model Q-balls and Q-Stars

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• How does gravity save or kill Q-balls?
• Mixed neutron-star-plus-wormhole systems: Equilibrium configurations
• Scalaroca stars: coupled scalar-Proca solitons
• Gravitating compact $Q$-ball and $Q$-shell solutions in the $\mathbb{C}{P}^N$ nonlinear sigma model
• RN-AdS Nontopoligical Solitons in Broken Einstein-Maxwell-Higgs Theory
• Soliton boson stars, Q-balls and the causal Buchdahl bound