The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model
We 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 eq...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/10/431 |
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| author | Balázs Endre Szigeti Imre Ferenc Barna Gergely Gábor Barnaföldi |
| author_facet | Balázs Endre Szigeti Imre Ferenc Barna Gergely Gábor Barnaföldi |
| author_sort | Balázs Endre Szigeti |
| collection | DOAJ |
| description | We 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. |
| first_indexed | 2024-03-10T20:50:26Z |
| format | Article |
| id | doaj.art-09a1a938ad16474abc632de8d3627b16 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T20:50:26Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-09a1a938ad16474abc632de8d3627b162023-11-19T18:23:20ZengMDPI AGUniverse2218-19972023-09-0191043110.3390/universe9100431The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid ModelBalázs Endre Szigeti0Imre Ferenc Barna1Gergely Gábor Barnaföldi2Wigner Research Centre for Physics, Institute for Particle and Nuclear Physics, 1121 Budapest, HungaryWigner Research Centre for Physics, Institute for Particle and Nuclear Physics, 1121 Budapest, HungaryWigner Research Centre for Physics, Institute for Particle and Nuclear Physics, 1121 Budapest, HungaryWe 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.https://www.mdpi.com/2218-1997/9/10/431dark fluidSedov–Taylor Ansatzself-similarity |
| spellingShingle | Balázs Endre Szigeti Imre Ferenc Barna Gergely Gábor Barnaföldi The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model Universe dark fluid Sedov–Taylor Ansatz self-similarity |
| title | The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model |
| title_full | The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model |
| title_fullStr | The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model |
| title_full_unstemmed | The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model |
| title_short | The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model |
| title_sort | formulation of scaling expansion in an euler poisson dark fluid model |
| topic | dark fluid Sedov–Taylor Ansatz self-similarity |
| url | https://www.mdpi.com/2218-1997/9/10/431 |
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