Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
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带电 BTZ 类黑洞解和扩散率-蝴蝶速度关系
DOI：
10.1007/jhep01(2018)068
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Wu Shang Yu
中科院分区：
文献类型：
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作者：
Ge Xian Hui;Sin Sang Jin;Tian Yu;Wu Shao Feng;Wu Shang Yu
本文证明了Lifshitz时空中存在一类具有超标度破坏因子的带电类BTZ黑洞解。荷电BTZ黑洞的特征是在度规函数中有一个依赖于电荷的对数项。作为具体的例子，我们给出了五个这样的带电类BTZ黑洞解，标准带电BTZ度规可以看作是它们的一个特例。为了检验最近提出的扩散率与蝴蝶速度之间的普遍关系，我们首先计算了标准荷电BTZ黑洞的扩散常数，然后将我们的计算推广到任意维数d，指数z和θ.值得注意的是，d = θ和z = 2的情况是非常特殊的，因为电荷扩散Dc是常数，能量扩散De可能是不明确的，但vB 2 τ发散。我们还计算的情况下，直流电导率是有限的，但在没有动量弛豫的扩散常数。
A bstractWe show that there exists a class of charged BTZ-like black hole solutions in Lifshitz spacetime with a hyperscaling violating factor. The charged BTZ black hole is characterized by a charge-dependent logarithmic term in the metric function. As concrete examples, we give five such charged BTZ-like black hole solutions and the standard charged BTZ metric can be regarded as a special instance of them. In order to check the recent proposed universal relations between diffusivity and the butterfly velocity, we first compute the diffusion constants of the standard charged BTZ black holes and then extend our calculation to arbitrary dimension d, exponents z and θ. Remarkably, the case d = θ and z = 2 is a very special in that the charge diffusion Dc is a constant and the energy diffusion De might be ill-defined, but vB2τ diverges. We also compute the diffusion constants for the case that the DC conductivity is finite but in the absence of momentum relaxation.