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arXiv 1104.4453hep-th
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带电黑洞的$RF^2$修正全息照相

Holography of Charged Black Holes with $RF^2$ Corrections

Rong-Gen Cai, Da-Wei Pang

摘要:

研究了带电黑洞在$RF^{2}$修正下的几种全息性质,这些修正源于五维Gauss-Bonnet引力的Kaluza-Klein约化.我们得到了微扰解,并讨论了它的热力学性质。通过有效作用方法计算了直流电导率,并对直流电导率的修正进行了评价。此外,我们还计算了剪切粘度$η$和热导率$κ_{T}$,以及两个有趣的比率$η/s$和$κ_{T}μ^{2}/(ηT)$。我们发现,在高阶修正$RF^2$的存在下,文献中提出的两个边界都可以被破坏。

英文摘要:

We investigate several holographic properties of charged black holes with $RF^{2}$ corrections, which originate from Kaluza-Klein reductions of five-dimensional Gauss-Bonnet gravity. We obtain the perturbative solution and discuss its thermodynamics. The DC conductivity is calculated via the effective action approach and the corrections to the DC conductivity are also evaluated. Moreover, we calculate the shear viscosity $η$ and thermal conductivity $κ_{T}$, as well as two interesting ratios $η/s$ and $κ_{T}μ^{2}/(ηT)$. We find that both bounds conjectured in the literatures can be violated in the presence of the higher order corrections $RF^2$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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