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

2016/05/31 by Yili Wang, Yi-Li Wang, Xian-Hui Ge · 1 citation
Mathematics · Physics and Astronomy · #Bispectrum #Black Holes and Theoretical Physics #Causality (physics) #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Gravitation #Graviton #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Physics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Shear viscosity #Statistics #Viscosity #hep-th

paper · pdf · doi:10.1103/physrevd.94.066007

published as Phys. Rev. D 94, 066007 (2016) · 21 pages, 5 figures, revised version, references added, to appear in PRD

arxiv created 2016/09/15 · openalex publication_date 2016/09/20 · arxiv updated 2016/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate \ensuremathη/s in the linear scalar field modified Gauss-Bonnet theory that breaks translation invariance. We first calculate \ensuremathη/s both analytically and numerically and show its relationship with temperature in a log-log plot. Our results show that \ensuremathη/s\ensuremath∼T² at low temperatures. The causality is also considered in this work. We then find that causality violation still happens in the presence of the linear scalar field and we suggest there is a Gauss-Bonnet coupling dependent lower limit for the effective mass of the graviton. If the effective mass of the graviton is big enough, then there will be no causality violation and hence no constraints for the Gauss-Bonnet coupling.

Citations

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Cited by

• Sound modes and stability of momentum dissipated black branes in holography
• Universality of DC electrical conductivity from holography
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids