Self-interacting multistate boson stars

Abstract

In this paper, we consider rotating multistate boson stars with quartic self-interactions. In contrast to the nodeless quartic-boson stars in \cite{Herdeiro:2015tia}, the self-interacting multistate boson stars (SIMBSs) have two types of nodes, including the ${}^1{S}^{2}S$ and ${}^1{S}^{2}P$ states. We show the mass $M$ of SIMBSs as a function of the synchronized frequency $\omega$, and the nonsynchronized frequency ${\omega }_2$ for three different cases. Moreover, for the case of two coexisting states with self-interacting potential, we study the mass $M$ of SIMBSs versus the angular momentum $J$ for the synchronized frequency $\omega$ and the nonsynchronized frequency ${\omega }_2$. Furthermore, for three different cases, we analyze the coexisting phase with both the ground and first excited states for SIMBSs. We also calculate the maximum value of coupling parameter $\Lambda$, and find the coupling parameter $\Lambda$ exists the finite range.

arXiv comment21 pages, 7 figures. arXiv admin note: text overlap with arXiv:1906.00420

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