An axially-symmetric Newtonian boson star

A new solution to the coupled gravitational and scalar field equations for a condensed boson field is found in Newtonian approximation. The solution is axially symmetric, but not spherically symmetric. For N particles the mass of the object is given by M = Nm − 0.02298N3Gn2m5, to be compared with M = Nm − 0.05426N3Gn2m5 for the spherically symmetric case.