Shear viscosity to entropy density ratio in higher derivative gravity with momentum dissipation

Wang, Yili; Ge, Xian-Hui

doi:10.1103/physrevd.94.066007

Cited by 16 publications

(23 citation statements)

References 78 publications

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“…This relation is somehow inspired by the shear viscosity bound proposed by Kovtun, Son and Starinets [50]. But recent developments have shown that the shear viscosity bound can be strongly violated in anisotropic systems and momentum dissipated systems [51][52][53][54][55][56][57][58] (see also [59][60][61][62][63] for discussions on the diffusion bounds ).…”

Section: Introductionmentioning

confidence: 87%

Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation

Sin

Tian

et al. 2018

J. High Energ. Phys.

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We 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 D c is a constant and the energy diffusion D e might be ill-defined, but v 2 B τ diverges. We also compute the diffusion constants for the case that the DC conductivity is finite but in the absence of momentum relaxation.

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Section: Introductionmentioning

confidence: 87%

Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation

Sin

Tian

et al. 2018

J. High Energ. Phys.

Self Cite

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“…Note that this result is given in the case without the axionic fields. It may become more complicate due to the introduction of axionic fields [40] and we shall address these problems in future. In this paper, we will take the constraint (7).…”

Section: Gauss-bonnet-axions Theorymentioning

confidence: 99%

Thermal transport and quasi-normal modes in Gauss–Bonnet-axions theory

Kuang

2017

Physics Letters B

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We obtain the black brane solution in arbitrary dimensional Gauss-Bonnet-axions (GBA) gravity theory. And then the thermal conductivity of the boundary theory dual to this neutral black brane is explored. We find that the momentum dissipation suppresses the DC thermal conductivity while it is enhanced by larger GB parameter. The analytical and numerical results of DC thermal conductivity match very well. Also we study the effect of the momentum dissipation and the GB coupling on the AC thermal conductivity and fit the results by Drude-like behavior for low frequency. Finally, we analytical compute the quasi-normal modes (QNM) frequency of the perturbative master field in large dimensions limit. Our analytical QNM frequencies agree well with the numerical results in large enough finite dimensions.

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“…Moreover, the result is given in the case without the axion fields. It may become more complicated due to the introduction of axionic fields [96]. Near the UV boundary, r → ∞,…”

Section: Review Of Black Brane In Gauss-bonnet-axions Theory With Arbmentioning

confidence: 99%

The effect of the Gauss–Bonnet term on Hawking radiation from arbitrary dimensional black brane

2017

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We investigate the probabilities of the tunneling and the radiation spectra of massive spin-1 particles from arbitrary dimensional Gauss-Bonnet-Axions (GBA) Antide Sitter (AdS) black branes, via using the WKB approximation to the Proca spin-1 field equation. The tunneling probabilities and Hawking temperature of the arbitrary dimensional GBA AdS black brane is calculated via the HamiltonJacobi approach. We also compute the Hawking temperature via the Parikh-Wilczek tunneling approach. The results obtained from the two methods are consistent. In our setup, the Gauss-Bonnet (GB) coupling affects the Hawking temperature if and only if the momentum of the axion fields is non-vanishing.

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Shear viscosity to entropy density ratio in higher derivative gravity with momentum dissipation

Cited by 16 publications

References 78 publications

Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation

Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation

Thermal transport and quasi-normal modes in Gauss–Bonnet-axions theory

The effect of the Gauss–Bonnet term on Hawking radiation from arbitrary dimensional black brane

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