The relativistic Rindler hydrodynamics

Christopher Eling*, Adiel Meyer, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

We consider a (d + 2)-dimensional class of Lorentzian geometries holographically dual to a relativistic fluid flow in (d + 1) dimensions. The fluid is defined on a (d + 1)-dimensional time-like surface which is embedded in the (d + 2)-dimensional bulk space-time and equipped with a flat intrinsic metric. We find two types of geometries that are solutions to the vacuum Einstein equations: the Rindler metric and the Taub plane symmetric vacuum. These correspond to dual perfect fluids with vanishing and negative energy densities respectively. While the Rindler geometry is characterized by a causal horizon, the Taub geometry has a timelike naked singularity, indicating pathological behavior. We construct the Rindler hydrodynamics up to second order in derivatives of the fluid variables and show the positivity of its entropy current divergence.

Original languageEnglish
Article number116
JournalJournal of High Energy Physics
Volume2012
Issue number5
DOIs
StatePublished - 2012

Keywords

  • Classical theories of gravity
  • Gauge-gravity correspondence

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