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A systematic study of exact solutions in second-order conformal hydrodynamics

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arxiv 1403.7693 v2 pith:ZUJQOJUF submitted 2014-03-30 hep-th hep-phnucl-thphysics.flu-dyn

A systematic study of exact solutions in second-order conformal hydrodynamics

classification hep-th hep-phnucl-thphysics.flu-dyn
keywords solutionshydrodynamicssecond-orderexactspaceconformalanalyticallyanti-de
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we present the details of our previous work on exact solutions in second-order conformal hydrodynamics together with a number of new solutions found by mapping Minkowski space onto various curved spacetimes such as anti-de Sitter space and hyperbolic space. We analytically show how the solutions of ideal hydrodynamics are modified by the second-order effects including vorticity. We also find novel boost-invariant exact solutions which exist only in second-order hydrodynamics and have an unusual dependence on the proper time.

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