The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Modelhdl:21.15109/CONCORDA/VJSOOIARP2023-10-171Szigeti, Balázs Endre; Barna, Imre Ferenc; Barnaföldi, Gergely Gábor, 2023, "The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model", https://hdl.handle.net/21.15109/CONCORDA/VJSOOI, ARP, V1The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Modelhdl:21.15109/CONCORDA/VJSOOISzigeti, Balázs EndreBarna, Imre FerencBarnaföldi, Gergely GáborOTKA K135515019-2.1.11-TET-2019-00078,019-2.1.11-TET-2019-00050Wigner Scientific Computing Laboratory (WSCLAB)ARPBarnaföldi, Gergely GáborBarnaföldi, Gergely Gábor2023-10-16Astronomy and Astrophysicsdark fluidSedov–Taylor Ansatzself-similarityscaling hidrodynamical solutionWe present a dark fluid model described as a non-viscous, non-relativistic, rotating, and self-gravitating fluid. We assume that the system has spherical symmetry and that the matter can be described by the polytropic equation of state. The induced coupled nonlinear partial differential system of equations was solved using a self-similar time-dependent ansatz introduced by L. Sedov and G.I. Taylor. These kinds of solutions were successfully used to describe blast waves induced by an explosion following the Guderley–Landau–Stanyukovich problem. We show that the result of our quasi-analytic solutions are fully consistent with the Newtonian cosmological framework. We analyzed relevant quantities from the model, namely, the evolution of the Hubble parameter and the density parameter ratio, finding that our solutions can be applied to describe normal-to-dark energy on the cosmological scale.Ask from the AuthorsSzigeti, B.E.; Barna, I.F.; Barnaföldi, G.G. The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model. Universe 2023, 9, 431.10.3390/universe9100431Szigeti, B.E.; Barna, I.F.; Barnaföldi, G.G. The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model. Universe 2023, 9, 431.AbraZetaPelda.pdfapplication/pdfDarkFluid_NonRot.nbapplication/mathematicaHubbleLaw.pdfapplication/pdfNonRot.pdfapplication/pdfOmegaDe.pdfapplication/pdfRot.pdfapplication/pdfRotatingDM_v3.texLaTeX sourceapplication/x-texUniverseExample.pdfapplication/pdfVegsoAbraNonRot.pdfapplication/pdfVegsoAbraRot.pdfapplication/pdfVegsoOssz.pdfapplication/pdfchicago2.bstapplication/octet-streamjournalnames.texapplication/x-texlogo-ccby.epsapplication/postscriptlogo-mdpi.epsapplication/postscriptlogo-orcid.epsapplication/postscriptlogo-orcid.pdfapplication/pdflogo-updates.epsapplication/postscriptlogo-updates.pdfapplication/pdfmdpi.bstapplication/octet-streammdpi.clsapplication/octet-streamuniverse-09-00431.pdfFinal published articleapplication/pdf