Clustering of the collisionless particles in a gravitational field and rotation curve.

Astronomy and Astrophysics – Astrophysics

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Dark Matter: Elementary Particles

Scientific paper

The problem of dark matter in present astrophysics has been disputed for a long time and has not been solved yet. More and more evidence shows that mostly the dark matter is probably not baryonic, but the collisionless particles which only participate in the gravitational interaction. These collisionless particles can condense in any potential well and provide the "missing mass". Padmanabhan (1985) discussed the effect of the gravitational field of a galaxy on a homogeneous collisionless cloud of dark matter by the linear approximation. In this note, the authors consider the distribution of such collisionless particles in an external field by solving the Boltzmann equation and the Poisson equation in the successive approximation. Besides the gravitational force being inversely proportional to the square of the distance, the result obtained also contains another force being inversely proportional to the distance. This result offers a reasonable explanation for the flatness of the rotation curves of the galaxies.

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