Horava-Lifshitz black hole hydrodynamics

Eling, Christopher; Oz, Yaron

doi:10.1007/jhep11(2014)067

Cited by 24 publications

(25 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our results for momentum transport are complementary to those of [42] (which worked with a related, covariant theory 1 ), in which a non-linear hydrodynamic description of transport was derived to leading order in perturbation theory in β, one of the coupling constants of Hořava gravity. β parameterizes the difference between the speed of one of the gravitons and the null speed of the boundary metric.…”

Section: Introductionsupporting

confidence: 65%

Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity

Davison¹,

Grozdanov²,

Janiszewski³

et al. 2016

J. High Energ. Phys.

View full text Add to dashboard Cite

We study the linearized transport of transverse momentum and charge in a conjectured field theory dual to a black brane solution of Hořava gravity with Lifshitz exponent z = 1. As expected from general hydrodynamic reasoning, we find that both of these quantities are diffusive over distance and time scales larger than the inverse temperature. We compute the diffusion constants and conductivities of transverse momentum and charge, as well the ratio of shear viscosity to entropy density, and find that they differ from their relativistic counterparts. To derive these results, we propose how the holographic dictionary should be modified to deal with the multiple horizons and differing propagation speeds of bulk excitations in Hořava gravity. When possible, as a check on our methods and results, we use the covariant Einstein-Aether formulation of Hořava gravity, along with field redefinitions, to re-derive our results from a relativistic bulk theory.

show abstract

Section: Introductionsupporting

confidence: 65%

Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity

Davison¹,

Grozdanov²,

Janiszewski³

et al. 2016

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…This is another interesting setting in which one can holographically compute equations of state and first-order transport coefficients for the systems considered in this paper. Finally, hydrodynamics for theories with Hořava-Lifshitz gravity in the bulk [48,49] may also be a relevant case to consider.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Perfect fluids

et al. 2018

View full text Add to dashboard Cite

We present a systematic treatment of perfect fluids with translation and rotation symmetry, which is also applicable in the absence of any type of boost symmetry. It involves introducing a fluid variable, the kinetic mass density, which is needed to define the most general energy-momentum tensor for perfect fluids. Our analysis leads to corrections to the Euler equations for perfect fluids that might be observable in hydrodynamic fluid experiments. We also derive new expressions for the speed of sound in perfect fluids that reduce to the known perfect fluid models when boost symmetry is present. Our framework can also be adapted to (non-relativistic) scale invariant fluids with critical exponent z. We show that perfect fluids cannot have Schrödinger symmetry unless z = 2. For generic values of z there can be fluids with Lifshitz symmetry, and as a concrete example, we work out in detail the thermodynamics and fluid description of an ideal gas of Lifshitz particles and compute the speed of sound for the classical and quantum Lifshitz gases.

show abstract

“…The black hole dynamics in these theories exhibits a flux of the spin zero helicity perturbation across a universal horizon, corresponding to the new dissipative transport in Lifshitz field theory hydrodynamics [8]. Lifshitz scaling shows up also in certain solutions to Einstein gravity with matter (e.g.…”

Section: Jhep02(2015)078mentioning

confidence: 99%

Lifshitz scale anomalies

Arav

Chapman

2015

J. High Energ. Phys.

Self Cite

106

View full text Add to dashboard Cite

We analyse scale anomalies in Lifshitz field theories, formulated as the relative cohomology of the scaling operator with respect to foliation preserving diffeomorphisms. We construct a detailed framework that enables us to calculate the anomalies for any number of spatial dimensions, and for any value of the dynamical exponent. We derive selection rules, and establish the anomaly structure in diverse universal sectors. We present the complete cohomologies for various examples in one, two and three space dimensions for several values of the dynamical exponent. Our calculations indicate that all the Lifshitz scale anomalies are trivial descents, called B-type in the terminology of conformal anomalies. However, not all the trivial descents are cohomologically non-trivial. We compare the conformal anomalies to Lifshitz scale anomalies with a dynamical exponent equal to one.

show abstract

Horava-Lifshitz black hole hydrodynamics

Cited by 24 publications

References 67 publications

Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity

Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity

Perfect fluids

Lifshitz scale anomalies

Contact Info

Product

Resources

About