Chains of Boson Stars

Abstract

We study axially symmetric multisoliton solutions of a complex scalar field theory with a sextic potential, minimally coupled to Einstein’s gravity. These solutions carry no angular momentum and can be classified by the number of nodes of the scalar field, kz, along the symmetry axis; they are interpreted as chains with kz þ 1 boson stars, bound by gravity, but kept apart by repulsive scalar interactions. Chains with an odd number of constituents show a spiraling behavior for their Arnowitt-Deser-Misner (ADM) mass (and Noether charge) in terms of their angular frequency, similarly to a single fundamental boson star, as long as the gravitational coupling is small; for larger coupling, however, the inner part of the spiral is replaced by a merging with the fundamental branch of radially excited spherical boson stars. Chains with an even number of constituents exhibit a truncated spiral pattern, with only two or three branches, ending at a limiting solution with finite values of ADM mass and Noether charge.