Algebraically special solutions in AdS/CFT

被引:24
作者
de Freitas, Gabriel Bernardi [1 ]
Reall, Harvey S. [1 ]
机构
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Ctr Math Sci, Cambridge CB3 0WA, England
关键词
AdS-CFT Correspondence; Black Holes;
D O I
10.1007/JHEP06(2014)148
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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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页数:42
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