Formation of Cuspy Density Profiles through Gravitational Cold Collapses around a Central Supermassive Black Hole

Astronomy and Astrophysics – Astronomy

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Galaxies: Elliptical And Lenticular, Cd, Galaxies: Formation, Galaxies: Nuclei

Scientific paper

We have carried out a set of N-body simulations to investigate the formation of cuspy density profiles through collapses starting from cold initial conditions around a preexisting supermassive central black hole. It is found that a cold collapse leads to an inner power-law profile ρ-γ, with 0.2<~γ<~2 depending on the mass of the central black hole as well as on the slope of the initial density profile ρ-γ0 (0<=γ0<=3/2). The upper limit obtained for γ corresponds to the more massive black hole and to the steeper initial profile with γ0=3/2. Models without a central black hole form a core rather than a cusp. Also, our numerical simulations with a virial ratio of η=0.05 do not show compelling evidence that a radial anisotropy in the initial velocity distribution would play an important role in the formation of steeper cusps, as was suggested by previous authors.

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