Conformal hydrodynamics in Minkowski and de Sitter spacetimes
146 citations recorded by the source corpus.
We show how to generate non-trivial solutions to the conformally invariant, relativistic fluid dynamic equations by appealing to the Weyl covariance of the stress tensor. We use this technique to show that a recently studied solution of the relativistic conformally invariant Navier–Stokes equations in four-dimensional Minkowski space can be recast as a static flow in three-dimensional de Sitter space times a line. The simplicity of the de Sitter form of the flow enables us to consider several generalizations of it, including flows in other spacetime dimensions, second order viscous corrections, and linearized perturbations. We also construct the anti-de Sitter dual of the original four-dimensional flow. Finally, we discuss possible applications to nuclear physics.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/5b03915b5a6af295f3986fdc8f9f2af47b618441
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Heavy ions and string theory (2013, methodology): “A complete linear stability analysis was performed in [62], including first-order viscous corrections, with the result that the flow (32) is stable in the regime where hydrodynamics is applicable.”
- The iEBE-VISHNU code package for relativistic heavy-ion collisions (2014, methodology): “2 Numerical check for VISHNew using semi-analytic solutions In [27, 28], the authors derived SO(3) ⊗ SU(1, 1) ⊗ Z2 invariant (“Gubser symmetric”) solutions of ideal relativistic conformal fluid dynamics which couple boost-invariant longitudinal expansion to an azimuthally symmetric transverse expans”
- Properties of hot and dense matter from relativistic heavy ion collisions (2015, background): “The Bjorken solution provides a natural starting point for more detailed numerical and analytical studies [151,187].”
- Relativistic Fluid Dynamics in and out of Equilibrium (2017, unknown): “For vectors such as u, the explicit coordinate transformations uμ = τ ∂ρ ∂xμ need to be considered and one finds [51]”
- Non linearities in the harmonic spectrum of heavy ion collisions with ideal and viscous hydrodynamics (2012, background): “[21], and shows that this scaling is reasonably generic [12, 38].”