Gravitational collapse of the galactic dark matter

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Farhadi E.; Shariati A.

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Journal Paper

Paper Information

Journal: Iranian Journal of Physics Research Year:2023 | Volume: | Issue: Page(s): 101-106

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Information Journal Paper

Title

Gravitational collapse of the galactic dark matter

Author(s)

Farhadi E. | Shariati A. | Issue Writer Certificate

Keywords

MilkyQ4

WayQ4

galaxyQ4

dark matterQ4

gravitational collapseQ4

polytropeQ4

Abstract

A spherically symmetric matter collapses under its own gravity. For the Milky Way, the time scale of collapse for a spherical halo with NFW density is ∼ 26 My which is very small compared to the age of the Milky Way. The effect of a pressure, obeying a polytrope equation of state is investigated. It is shown that for p ∝ ρ9/8, the time scale would be of the order of 1 Gy. It is also argued that such a polytrope, if considered to be in equilibrium, could explain the rotation curve of the Milky way.

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