4.4 Article

Algebraically special solutions in AdS/CFT

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP06(2014)148

Keywords

AdS-CFT Correspondence; Black Holes

Funding

  1. STFC [ST/L000636/1] Funding Source: UKRI
  2. Science and Technology Facilities Council [ST/L000636/1] Funding Source: researchfish

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We investigate the AdS/CFT interpretation of the class of algebraically special solutions of Einstein gravity with a negative cosmological constant. Such solutions describe a CFT living in a 2 + 1 dimensional time-dependent geometry that, generically, has no isometries. The algebraically special condition implies that the expectation value of the CFT energy-momentum tensor is a local function of the boundary metric. When such a spacetime is slowly varying, the fluid/gravity approximation is valid and one can read off the values of certain higher order transport coefficients. To do this, we introduce a formalism for studying conformal, relativistic fluids in 2 + 1 dimensions that reduces everything to the manipulation of scalar quantities.

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