AdS中的玻色子星
Boson Stars in AdS
摘要：
我们在整体Anti de Sitter（AdS）空间中构造玻色子星并研究其稳定性.线性微扰的结果表明，基态和前三个激发态玻色子星是稳定的。我们发展这些解决方案和研究他们的非线性稳定性，在最近的工作\cite{Bizon:2011gg}认为，弱湍流不稳定驱动标量扰动的AdS黑洞的形成。然而，演化表明玻色子星是非线性稳定的，并且对足够小的扰动不稳定性免疫。此外，这些研究发现其他家庭的初始数据，同样避免了足够弱的参数的不稳定性。启发式地，我们认为，初始数据家庭广泛分布的质能扭曲时空足以反对的不稳定性有利于相干放大。从双CFT的角度来看，我们的研究结果表明，存在的家庭，而通用的初始条件在强耦合CFT（与大量的自由度），不热化在无限的未来。
英文摘要：
We construct boson stars in global Anti de Sitter (AdS) space and study their stability. Linear perturbation results suggest that the ground state along with the first three excited state boson stars are stable. We evolve some of these solutions and study their nonlinear stability in light of recent work \cite{Bizon:2011gg} arguing that a weakly turbulent instability drives scalar perturbations of AdS to black hole formation. However evolutions suggest that boson stars are nonlinearly stable and immune to the instability for sufficiently small perturbation. Furthermore, these studies find other families of initial data which similarly avoid the instability for sufficiently weak parameters. Heuristically, we argue that initial data families with widely distributed mass-energy distort the spacetime sufficiently to oppose the coherent amplification favored by the instability. From the dual CFT perspective our findings suggest that there exist families of rather generic initial conditions in strongly coupled CFT (with large number of degrees of freedom) that do not thermalize in the infinite future.
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