论文标题

动力$ \ ell $ -Boson星星:非球形解决方案的通用稳定性和证据

Dynamical $\ell$-boson stars: generic stability and evidence for non-spherical solutions

论文作者

Jaramillo, Víctor, Sanchis-Gual, Nicolas, Barranco, Juan, Bernal, Argelia, Degollado, Juan Carlos, Herdeiro, Carlos, Núñez, Darío

论文摘要

$ \ ell $ -boson星是静态的,球形的,多场自我磨碎的孤子。它们是爱因斯坦重力的渐近平坦,有限的能量解决方案,最小化与奇数巨大的复杂标量场相结合。先前的一项研究评估了球形扰动下$ \ ell $ -Boson星的稳定性,发现解决方案的溶液既有稳定和不稳定的分支,也有单场波森星($ \ ell = 0 $)。在这项工作中,我们通过使用3D代码来探测$ \ ell $ -boson星星对非球形扰动的稳定性,以对Einstein-Klein-Gordon系统的数值进化进行探测。对于探索的时间尺度,属于球形稳定分支的$ \ ell $ -Boson星星没有显示可测量的增长模式。但是,我们发现零模式的证据。也就是说,既不会生长也不衰减的非球形扰动。这表明将分支朝向更大的平衡解决方案家族:我们猜想$ \ ell $ -Boson恒星是一个更大的静态(可能是固定),非球场多场自我磨损的较大的静电剂点。

$\ell$-boson stars are static, spherical, multi-field self-gravitating solitons. They are asymptotically flat, finite energy solutions of Einstein's gravity minimally coupled to an odd number of massive, complex scalar fields. A previous study assessed the stability of $\ell$-boson stars under spherical perturbations, finding that there are both stable and unstable branches of solutions, as for single-field boson stars ($\ell=0$). In this work we probe the stability of $\ell$-boson stars against non-spherical perturbations by performing numerical evolutions of the Einstein-Klein-Gordon system, with a 3D code. For the timescales explored, the $\ell$-boson stars belonging to the spherical stable branch do not exhibit measurable growing modes. We find, however, evidence of zero modes; that is, non-spherical perturbations that neither grow nor decay. This suggests the branching off towards a larger family of equilibrium solutions: we conjecture that $\ell$-boson stars are the enhanced isometry point of a larger family of static (and possibly stationary), non-spherical multi-field self-gravitating solitons.

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