Hydrodynamics dual to Einstein-Gauss-Bonnet gravity: all-order gradient resummation and causality violation Academic Article uri icon

abstract

  • Relativistic hydrodynamics dual to Einstein-Gauss-Bonnet gravity in asymptotic $\textrm{AdS}_5$ space is under study. To linear order in the amplitude of the fluid velocity and temperature, we derive the fluid's stress-energy tensor via an all-order resummation of the derivative terms. Each order is accompanied by new transport coefficients, which all together could be compactly absorbed into two functions of momenta, referred to as viscosity functions. Via inverse Fourier transform, these viscosities appear as memory functions in the constitutive relation between components of the stress-energy tensor. We discover that for arbitrary small Gauss-Bonnet coefficient, these memory functions have support in the future, suggesting causality violation in the theory.

publication date

  • January 1, 2015