单极行星与星系
Monopole Planets and Galaxies
摘要：
本文研究了SU（2）BPS单极球团簇。一个大的类的解决方案是使用阿贝尔近似，其中集群是球对称的，虽然精确的解决方案不能有这种对称性精确。单极集群概括了相同电荷的Bolognesi磁袋解决方案，但它们总是更大。选定的密度分布图给出了类似于均匀密度的行星的结构，以及密度随着距离中心的平方倒数而衰减的星系。Bolognesi袋本身具有类似于黑洞的特征，并且在星团和天体之间的这种类比在其中心区域有或没有黑洞得到进一步发展。它还表明，某些确切的，小电荷的柏拉图单极子的大小和其他功能符合预期的磁袋。
英文摘要：
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. The Bolognesi bag itself has features analogous to a black hole, and this analogy between monopole clusters and astrophysical objects with or without black holes in their central region is developed further. It is also shown that certain exact, platonic monopoles of small charge have sizes and other features consistent with what is expected for magnetic bags.
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