Newtonian Collapse of Scalar Field Dark Matter

Astronomy and Astrophysics – Astrophysics

Scientific paper

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4 pages RevTex4 file, 4 eps figures

Scientific paper

10.1103/PhysRevD.68.024023

In this letter, we develop a Newtonian approach to the collapse of galaxy fluctuations of scalar field dark matter under initial conditions inferred from simple assumptions. The full relativistic system, the so called Einstein-Klein-Gordon, is reduced to the Schr\"odinger-Newton one in the weak field limit. The scaling symmetries of the SN equations are exploited to track the non-linear collapse of single scalar matter fluctuations. The results can be applied to both real and complex scalar fields.

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