PIRSA:11090134

The Holographic Fluid Dual to Vacuum Einstein Gravity

McFadden, P. (2011). The Holographic Fluid Dual to Vacuum Einstein Gravity. Perimeter Institute. https://pirsa.org/11090134

McFadden, Paul. The Holographic Fluid Dual to Vacuum Einstein Gravity. Perimeter Institute, Sep. 27, 2011, https://pirsa.org/11090134 

          @misc{ pirsa_PIRSA:11090134,
            doi = {10.48660/11090134},
            url = {https://pirsa.org/11090134},
            author = {McFadden, Paul},
            keywords = {Cosmology},
            language = {en},
            title = {The Holographic Fluid Dual to Vacuum Einstein Gravity},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {sep},
            note = {PIRSA:11090134 see, \url{https://pirsa.org}}
          }

Paul McFadden Durham University

Talk numberPIRSA:11090134
DOI10.48660/11090134
Collection
Talk Type Scientific Series
Subject

Abstract

I'll discuss how to systematically construct a (d+2)-dimensional solution of the vacuum Einstein equations that is dual to a (d+1)-dimensional fluid satisfying the incompressible Navier-Stokes equations with specific higher-derivative corrections. The solution takes the form of a non-relativistic gradient expansion that is in direct correspondence with the hydrodynamic expansion of the dual fluid. The dual fluid has nevertheless an underlying description in terms of relativistic hydrodynamics, with the unusual property of having a vanishing equilibrium energy density. Using the gravitational results, as well as an interesting and exact constraint on its stress tensor, we identify the transport coefficients of the dual fluid. A simple Lagrangian model is sufficient to realise its key properties.