The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model

21.15109/CONCORDA/VJSOOISzigeti, Balázs EndreBalázs EndreSzigeti0000-0002-8028-962XWigner Research Centre for PhysicsBarna, Imre FerencImre FerencBarna0000-0001-6206-3910Wigner Research Centre for PhysicsBarnaföldi, Gergely GáborGergely GáborBarnaföldi0000-0001-9223-6480Wigner Research Centre for PhysicsThe Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid ModelARP2023Astronomy and Astrophysicsdark fluidSedov–Taylor Ansatzself-similarityscaling hidrodynamical solutionBarnaföldi, Gergely GáborGergely GáborBarnaföldiWigner Research Centre for Physics2023-10-162023-10-1710.3390/universe91004312422220696831270765902454864957347757287335954578145785413783788278275484140736786284378126712535421169223669516021650532application/pdfapplication/mathematicaapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/x-texapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/octet-streamapplication/x-texapplication/postscriptapplication/postscriptapplication/postscriptapplication/pdfapplication/postscriptapplication/pdfapplication/octet-streamapplication/octet-streamapplication/pdf1.0CC0 1.0We 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.Hungarian National Research, Development, and Innovation Office (NKFIH)OTKA K135515Hungarian National Research, Development, and Innovation Office (NKFIH)019-2.1.11-TET-2019-00078,Hungarian National Research, Development, and Innovation Office (NKFIH)019-2.1.11-TET-2019-00050HUN-REN WignerWigner Scientific Computing Laboratory (WSCLAB)