Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity
General Relativity and Quantum Cosmology
2024-06-27 v1 Analysis of PDEs
Nuclear Theory
Abstract
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.
Cite
@article{arxiv.2406.17945,
title = {Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity},
author = {Marcelo M. Disconzi and James Isenberg and David Maxwell},
journal= {arXiv preprint arXiv:2406.17945},
year = {2024}
}