26–28 Jul 2023
Bratislava, Slovakia
Europe/Zurich timezone

Self-Similar Solutions in Newtonian Cosmology

27 Jul 2023, 10:10
30m
Lecture room F1

Lecture room F1

FMFI UK, Mlynská dolina, 84248 Bratislava

Speaker

Balazs Endre Szigeti (Wigner Research Centre for Physics (Wigner RCP) (HU))

Description

We present a dark fluid model described as a non-viscous, non-relativistic, rotating, and self-gravitating fluid. We assumed that the system has spherical symmetry and the matter can be described with the polytropic equation of state. The induced coupled non-linear partial differential equation system was solved by 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 since the Guderley–Landau–Stanyukovich problem. We showed that these kinds of solutions can provide new solutions that are consistent with the Newtonian cosmological framework. We have found that such solutions can be applied to describe normal-to-dark energy on the cosmological scale.

Author

Balazs Endre Szigeti (Wigner Research Centre for Physics (Wigner RCP) (HU))

Co-authors

Gergely Barnafoldi (Hungarian Academy of Sciences (HU)) Dr Imre Ferenc Barna (Wigner Research Center)

Presentation materials