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arXiv · 1003.5064

Holography of Charged Dilaton Black Holes in General Dimensions

Chiang-Mei Chen·Da-Wei Pang
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Abstract

We study several aspects of charged dilaton black holes with planar symmetry in $(d+2)$-dimensional spacetime, generalizing the four-dimensional results investigated in arXiv:0911.3586 [hep-th]. We revisit the exact solutions with both zero and finite temperature and discuss the thermodynamics of the near-extremal black holes. We calculate the AC conductivity in the zero-temperature background by solving the corresponding Schr\"{o}dinger equation and find that the AC conductivity behaves like $\omega^{\delta}$, where the exponent $\delta$ is determined by the dilaton coupling $\alpha$ and the spacetime dimension parameter $d$. Moreover, we also study the Gauss-Bonnet corrections to $\eta/s$ in a five-dimensional finite-temperature background.

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Chiang-Mei Chen, Da-Wei Pang. 2010-03-26. Holography of Charged Dilaton Black Holes in General Dimensions. https://doi.org/10.1007/jhep06(2010)093

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