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Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity
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Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity
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We solve the Einstein constraint equations for a first-order causal viscous relativistic hydrodynamic theory in the case of a conformal fluid. For such a theory, a direct application of the conformal method does not lead to a decoupling of the equations, even for constant-mean curvature initial data. We combine the conformal method applied to a background perfect fluid theory with a perturbative argument in order to obtain the result.
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