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arXiv · 1105.1498

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

Takashi Tamaki·Nobuyuki Sakai
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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 $V_3(ϕ)={m^2\over2}ϕ^2-μϕ^3+λϕ^4$ for Q-balls and that with $μ=0$ 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.

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Takashi Tamaki, Nobuyuki Sakai. 2011-05-08. Unified picture of Q-balls and boson stars via catastrophe theory. https://doi.org/10.1103/physrevd.81.124041

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