Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence
arXiv:2405.01505 · doi:10.1088/1361-6382/ad70ec
Abstract
Effective Lifshitz black holes with arbitrary dynamical exponent are addressed in the fluid/gravity membrane paradigm. The transport and the response coefficients in the dual Lifshitz field theory are calculated and analyzed, including the charge diffusion constant and the shear mode damping constant, along with the shear-viscosity-to-entropy density ratio. The Kubo formula is employed to obtain the electrical DC conductivity for the gauge sector corresponding to impurity through the holographic linear response of gauge vector fluctuations in the Lifshitz black brane geometry.
17 pages
References in corpus (32)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Building an AdS/CFT superconductor
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Nonlinear Fluid Dynamics from Gravity
- Gravity duals for non-relativistic CFTs
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Lifshitz Gravity for Lifshitz Holography
- Spectral sum rules for the quark-gluon plasma
- Stable and causal relativistic Navier-Stokes equations
- The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
- Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography
- Holography of the Dirac Fluid in Graphene with two currents
- Black holes and non-relativistic quantum systems
- The Fluid/Gravity Correspondence: a new perspective on the Membrane Paradigm
- Black string corrections in variable tension braneworld scenarios
- Critical behavior of non-hydrodynamic quasinormal modes in a strongly coupled plasma
- Notes on the Two-brane Model with Variable Tension
- Conductivity and Diffusion Constant in Lifshitz Backgrounds
- Gravitational decoupling, hairy black holes and conformal anomalies
- Radially symmetric scalar solitons
- Conductivity in the anisotropic background
- Non-conformal Hydrodynamics in Einstein-dilaton Theory
- Evading Derrick's theorem in curved space: Static metastable spherical domain wall
- Holographic entanglement entropy, deformed black branes, and deconfinement in AdS/QCD
- Inflationary gravitational waves in the effective field theory of modified gravity
- Solitons in curved spacetime
- Localized scalar structures around static black holes
- Exploring the shear viscosity in four-dimensional planar black holes beyond General Relativity
- Transport coefficients in AdS/CFT and quantum gravity corrections due to a functional measure
- Scalar fields and Lifshitz black holes from Derrick's theorem evasion
- Charged Lifshitz black holes from general covariance breaking
- Generalized extremal branes in AdS/CMT and holographic superconductors