Search for growing angular modes in ultracompact boson star evolutions

Abstract

Recent fully non-linear simulations of ultracompact spherically symmetric boson stars have presented evidence for their long-term stability. All observed dynamics could be mainly attributed to the fundamental radial mode. In this work, we additionally decompose some of the data in spherical harmonics, providing a first step towards the characterization of non-spherical modes present.

Figures (2)

• Figure 1: Analysis for the effective potential $H_{\text{eff}}$ in S06A044 at resolution $\mu h=1/8$, using $(N_\theta, N_\phi) = (32,24)$ at $R=17.5$. (left) Extracted modes and linear fits, for those with a positive slope, (middle) histogram of the associated $p$-values and (right) the $(18,10)$-mode that is significantly increasing.
• Figure 2: Analysis for the scalar field amplitude $|\varphi|$ in S08A06 at resolution $\mu h=1/12$, using $(N_\theta, N_\phi) = (32,24)$ at $R=9.8$. (left) Extracted modes and linear fits, for those with a positive slope, (middle) histogram of the associated $p$-values and (right) the $(6,6)$-mode that is most significantly increasing.