Lovelock theories, holography and the fate of the viscosity bound

Camanho, Xián O.; Edelstein, José D.; Paulos, Miguel F.

doi:10.1007/jhep05(2011)127

Cited by 82 publications

(125 citation statements)

References 82 publications

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“…This leads to a further constraint on the allowed value for the viscosity/entropy ratio. (See, for examples, [22,23,46,47].) We expect the analogous causality bound also exists in our case.…”

Section: Ads/cft Application: Viscosity/entropy Ratiosupporting

confidence: 75%

Higher-derivative gravity with non-minimally coupled Maxwell field

Feng

Lü

2016

Eur. Phys. J. C

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We construct higher-derivative gravities with a non-minimally coupled Maxwell field. The Lagrangian consists of polynomial invariants built from the Riemann tensor and the Maxwell field strength in such a way that the equations of motion are second order for both the metric and the Maxwell potential. We also generalize the construction to involve a generic non-minimally coupled p-form field strength. We then focus on one low-lying example in four dimensions and construct the exact magnetically charged black holes. We also construct exact electrically charged z = 2 Lifshitz black holes. We obtain approximate dyonic black holes for the small coupling constant or small charges. We find that the thermodynamics based on the Wald formalism disagrees with that derived from the Euclidean action procedure, suggesting this may be a general situation in higher-derivative gravities with non-minimally coupled form fields. As an application in the AdS/CFT correspondence, we study the entropy/viscosity ratio for the AdS or Lifshitz planar black holes, and find that the exact ratio can be obtained without having to know the details of the solutions, even for this higher-derivative theory.

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Section: Ads/cft Application: Viscosity/entropy Ratiosupporting

confidence: 75%

Higher-derivative gravity with non-minimally coupled Maxwell field

Feng

Lü

2016

Eur. Phys. J. C

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“…This latter branch is also unstable [25]; the graviton propagator is proportional to Υ [Λ + ] < 0, thus having the wrong sign with respect to the EH case. In the dual CFT this amounts to non-unitarity [15]. The stable solution g − also happens to be the one that is continuously connected to the Schwarzschild-Tangherlini solution of general relativity in the λ → 0 limit; namely…”

Section: B Lovelock Black Holesmentioning

confidence: 99%

New type of phase transition in gravitational theories

et al. 2012

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We set forth a new type of phase transition that might take place in gravitational theories whenever higher-curvature corrections are considered. It can be regarded as a sophisticated version of the Hawking-Page transition, mediated by the nucleation of a bubble in anti-de Sitter (AdS) space. The bubble hosts a black hole in its interior, and separates two spacetime regions with different effective cosmological constants. We compute the free energy of this configuration and compare it with that of thermal AdS. The result suggests that a phase transition actually occurs above certain critical temperature, ultimately changing the value of the cosmological constant. We discuss the consistency of the thermodynamic picture and its possible relevance in the context of AdS/CFT.

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“…As an application for our methods we will compute the ratio of shear viscosity (η) to entropy density (s) for a general four derivative bulk dual, without assuming the coupling constants to be small (for earlier related work see [30][31][32][33][34][35][36][37][38][39][40]). Then following [25,26], we will demand that −3 ≤ t 2 ≤ 3 as well as C T > 0, s > 0.…”

Section: Jhep07(2014)098mentioning

confidence: 99%

“…As an application of the background field expansion method, we calculate the ratio of the shear viscosity and entropy density [43][44][45] for higher derivative theories [30][31][32][33][34][35][36][37][38][39][40]. This can be done in arbitrary dimensions but for simplicity, we will illustrate for the d = 4 plasma.…”

Section: Jhep07(2014)098mentioning

confidence: 99%

Holographic stress tensor at finite coupling

Sen

Sinha

2014

J. High Energ. Phys.

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We calculate one, two and three point functions of the holographic stress tensor for any bulk Lagrangian of the form L(g ab , R abcd , ∇ e R abcd ). Using the first law of entanglement, a simple method has recently been proposed to compute the holographic stress tensor arising from a higher derivative gravity dual. The stress tensor is proportional to a dimension dependent factor which depends on the higher derivative couplings. In this paper, we identify this proportionality constant with a B-type trace anomaly in even dimensions for any bulk Lagrangian of the above form. This in turn relates to C T , the coefficient appearing in the two point function of stress tensors. We use a background field method to compute the two and three point function of stress tensors for any bulk Lagrangian of the above form in arbitrary dimensions. As an application we consider general situations where η/s for holographic plasmas is less than the KSS bound.

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Lovelock theories, holography and the fate of the viscosity bound

Cited by 82 publications

References 82 publications

Higher-derivative gravity with non-minimally coupled Maxwell field

Higher-derivative gravity with non-minimally coupled Maxwell field

New type of phase transition in gravitational theories

Holographic stress tensor at finite coupling

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