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arXiv 1609.01735gr-qchep-th
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渐近反de Sitter Proca星

Asymptotically anti-de Sitter Proca Stars

Miguel Duarte, Richard Brito

摘要:

我们发现,复杂的,大规模的自旋为1的领域最低限度地耦合到爱因斯坦的引力与负宇宙学常数,承认渐近反德西特自引力的解决方案。聚焦于4维时空,我们首先在测试场极限中获得解析解,其中Proca场方程可以在固定的反德西特背景中求解,然后在数值上找到完全非线性的解。这些解决方案是最近发现的渐近平坦Proca星的自然延伸,并与标量玻色子星具有相似的性质。特别是,我们表明,他们是稳定的球对称线性扰动的范围内的基频限制其最大质量点。最后,我们概述了普罗卡星在$5$维度上的行为。

英文摘要:

We show that complex, massive spin-1 fields minimally coupled to Einstein's gravity with a negative cosmological constant, admit asymptotically anti-de Sitter self-gravitating solutions. Focusing on 4-dimensional spacetimes, we start by obtaining analytical solutions in the test-field limit, where the Proca field equations can be solved in a fixed anti-de Sitter background, and then find fully non-linear solutions numerically. These solutions are a natural extension of the recently found asymptotically flat Proca stars and share similar properties with scalar boson stars. In particular, we show that they are stable against spherically symmetric linear perturbations for a range of fundamental frequencies limited by their point of maximum mass. We finish with an overview of the behavior of Proca stars in $5$ dimensions.

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