Initial data for first-order causal viscous conformal fluids in general relativity

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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Publication Details

Journal
Journal of Mathematical Physics
Published
2024-12-01
DOI
https://doi.org/10.1063/5.0226258
Citations
2
Primary Topic
High-Energy Particle Collisions Research
Type
article
Field-Weighted Citation Impact
1.32

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article

Initial data for first-order causal viscous conformal fluids in general relativity

James A. Isenberg, David Maxwell, Marcelo M. Disconzi
2 citations
Journal of Mathematical Physics
High-Energy Particle Collisions Research
1.32
article

Initial data for first-order causal viscous conformal fluids in general relativity

James A. Isenberg, David Maxwell, Marcelo M. Disconzi
article en
2 citations

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.

Journal of Mathematical PhysicsVol. 65(12)
University of Alaska Fairbanks (US), University of Oregon (US), Vanderbilt University (US)
National Science Foundation, U.S. Department of Energy, Vanderbilt University
Openalex Percentile: Top 10%
High-Energy Particle Collisions Research
1.32
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