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arXiv 1903.08239hep-thgr-qc
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渐近AdS虫洞上的全共振标量

Fully resonant scalars on asymptotically AdS wormholes

Andres Anabalon, Julio Oliva, Constanza Quijada

摘要:

在这项工作中,我们表明存在渐近AdS虫洞的几何形状,标量探针具有均匀的,完全共振的频谱,作为AdS时空的标量,并探讨其动态时,包括非线性。时空是爱因斯坦-高斯-邦纳理论的一个解,只有一个最大对称真空。引入标量探针和Ricci标量之间的非最小耦合显著地导致在两个无穷远处满足反射边界条件的标量场的完全共振谱。应用微扰的方法,这是特别有用的揭开动态在时间尺度的顺序$\varepsilon^{-2}$(其中$\varepsilon$的特征初始扰动的幅度),我们观察到模式之间的直接和逆能量级联。这促使我们探索的情况下,其中的动力学是由一个单一的模式占主导地位的能量回报。我们发现数值和微扰的证据表明,近精确的回报确实存在于这一制度。我们还提供了一些意见,充分backreracting的情况下,并提供了一个证据的普遍性弱非线性动力学的AdS周围,在Lovelock理论的背景下,一般的耦合,高达倍的顺序$\varepsilon^{-2}$。

英文摘要:

In this work we show the existence of asymptotically AdS wormhole geometries where the scalar probe has an equispaced, fully resonant spectrum, as that of a scalar on AdS spacetime, and explore its dynamics when non-linearities are included. The spacetime is a solution of Einstein-Gauss-Bonnet theory with a single maximally symmetric vacuum. Introducing a non-minimal coupling between the scalar probe and the Ricci scalar remarkably leads to a fully resonant spectrum for a scalar field fulfilling reflective boundary conditions at both infinities. Applying perturbative methods, which are particularly useful for unveiling the dynamics at time scales of order $\varepsilon^{-2}$ (where $\varepsilon$ characterizes the amplitude of the initial perturbation), we observe both direct and inverse energy cascades between modes. This motivates us to explore the energy returns in the case in which the dynamics is dominated by a single mode. We find numerical and perturbative evidence that near exact returns do exist in this regime. We also provide some comments on the fully backreracting case and provide a proof of the universality of the weakly non-linear dynamics around AdS, in the context of Lovelock theories with generic couplings, up to times of order $\varepsilon^{-2}$.

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