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arXiv 2103.12136gr-qc
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多场多频玻色星和稳定机制

Multi-field, multi-frequency bosonic stars and a stabilization mechanism

Nicolas Sanchis-Gual, Fabrizio Di Giovanni, Carlos Herdeiro, Eugen Radu, José A. Font

摘要:

标量玻色星(BS)是一种多用途的奇异致密天体模型。我们扩大景观,这样的(渐近平坦的,固定的,无处不在的规则)的对象,考虑多个领域(可能)具有不同的频率。这允许新的形态${\it and}$,一种用于不同种类的不稳定BS的稳定机制。首先,任何奇数个复数场产生连续的BS族,该BS族偏离球形的、等频率的$\ell-$ BS。作为最简单的说明,我们构造了$\ell$ = ${\it 1}$ ${\it BSs}$ ${\it family}$,它包括几个单频解,包括偶宇称(例如旋转BS和环形静态BS)和奇宇称(偶极BS)限制。第二,这些极限解是动态不稳定的,但是可以通过${\it hybrid}$ - $\ell$构造来稳定:添加具有不同频率的另一场的足够大的基本$\ell=0$ BS。这种动力学鲁棒性的证据得到相应的爱因斯坦(复杂的,大规模的)克莱因-戈登系统的非线性数值模拟,无论是在形成和演化的情况下,和稳定性和能量分布之间的暗示性的相关性观察。预计与矢量BS的相似性和差异。

英文摘要:

Scalar bosonic stars (BSs) stand out as a multi-purpose model of exotic compact objects. We enlarge the landscape of such (asymptotically flat, stationary, everywhere regular) objects by considering multiple fields (possibly) with different frequencies. This allows for new morphologies ${\it and}$ a stabilization mechanism for different sorts of unstable BSs. First, any odd number of complex fields, yields a continuous family of BSs departing from the spherical, equal frequency, $\ell-$BSs. As the simplest illustration, we construct the $\ell$ = ${\it 1}$ ${\it BSs}$ ${\it family}$, that includes several single frequency solutions, including even parity (such as spinning BSs and a toroidal, static BS) and odd parity (a dipole BS) limits. Second, these limiting solutions are dynamically unstable, but can be stabilized by a ${\it hybrid}$-$\ell$ construction: adding a sufficiently large fundamental $\ell=0$ BS of another field, with a different frequency. Evidence for this dynamical robustness is obtained by non-linear numerical simulations of the corresponding Einstein-(complex, massive) Klein-Gordon system, both in formation and evolution scenarios, and a suggestive correlation between stability and energy distribution is observed. Similarities and differences with vector BSs are anticipated.

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