Sound modes and stability of momentum dissipated black branes in holography
Sound modes and stability of momentum dissipated black branes in holography
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DOI：
10.1103/physrevd.99.106006
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发表时间：
2018-12
影响因子：
5
通讯作者：
Wenhe Cai;Xian-Hui Ge;Qingbing Wang
中科院分区：
文献类型：
--
作者：
Wenhe Cai;Xian-Hui Ge;Qingbing Wang
我们系统地研究动量耗散全息系统的声音模式。我们特别关注四维体时空维度中的爱因斯坦线性轴子和爱因斯坦-麦克斯韦膨胀轴子理论。分别计算了两种理论的声速，并解析计算了爱因斯坦-麦克斯韦轴子理论的声衰减。我们还得到了两种理论中的数值色散关系，与我们的分析结果相匹配。我们的结果表明，带有附加线性轴子场的爱因斯坦-麦克斯韦膨胀理论的声速相当于 2+1 维 Banados-Teitelboim-Zanelli 黑洞的声速。它使我们能够将爱因斯坦线性轴子理论的解决方案与其他方法的不具有平移不变性的系统的解决方案进行比较。在计算了声速之后，我们计算了爱因斯坦-麦克斯韦膨胀轴子理论中标量型涨落的拟正则模式。结果表明，在违反零能量条件的情况下，观察到动力学不稳定。
We systematically investigate the sound modes of momentum dissipated holographic systems. In particular, we focus on the Einstein-linear axions and the Einstein-Maxwell-dilaton-axion theories in four-dimensional bulk spacetime dimensions. The sound velocities of the two theories are computed respectively and the sound attenuation of the Einstein-Maxwell-axion theory is also calculated analytically. We also obtain numeral dispersion relations in the two theories which match with our analytical results. Our results show that the sound velocity of the Einstein-Maxwell-dilaton theory with additional linear axion fields is equivalent to that of 2+1-dimensional Banados-Teitelboim-Zanelli black holes. It allowed us to compare our solution of the Einstein-linear axions theory with that of systems without translational invariance from another method. After the computation on the sound velocity, we calculate the quasinormal modes of scalar-type fluctuations in the Einstein-Maxwell-dilaton-axion theory. The results show that a dynamical instability is observed under the condition that the null energy condition is violated.