2025/10/12 by Sašo Grozdanov, Grozdanov, Sašo · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Navier-Stokes equation solutions #Nuclear Theory (nucl-th) #Particle Dynamics in Fluid Flows
paper · pdf · doi:10.48550/arxiv.2510.10769
openalex publication_date 2025/10/12 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28
I discuss the constructions of boost-invariant dissipative conformal hydrodynamic flows by elaborating on the geometric procedure by Gubser and Yarom, which starts from a static, maximally symmetric flow on dS3×ℝ. Three foliations of dS3 preserve three-dimensional non-Abelian isometry groups, namely, the flat ISO(2)-invariant, the spherical (closed) SO(3)-invariant, and the hyperbolic (open) SO(2,1)-invariant slicings. I show that the fluids that preserve these symmetries, after they have been Weyl transformed to flat spacetime, give rise to three physically distinct and boost-invariant solutions of the relativistic dissipative Navier-Stokes equations: the well-known and widely studied Bjorken and Gubser flows, and a seemingly thus far unexplored solution that arises from the hyperbolic slicing of dS3. The new solution combines the radial expansion characteristic of the Gubser flow with the late-proper-time applicability of Bjorken's solution, and features a finite, radially bounded droplet whose expanding edge resembles a free-streaming shockwave.