Monopole Planets and Galaxies

Understand

Spherical clusters of SU(2) BPS monopoles are investigated here.

• A large class of monopole solutions is found using an abelian approximation, where the clusters are spherically symmetric, although exact solutions cannot have this symmetry precisely.
• Monopole clusters generalise the Bolognesi magnetic bag solution of the same charge, but they are always larger.
• Selected density profiles give structures analogous to planets of uniform density, and galaxies with a density decaying as the inverse square of the distance from the centre.