Gravitational equilibria of selfinteracting charged scalar fields
Abstract
I present the static spherically symmetric gravitational equilibria of scalar fields coupled to a U(1) gauge field and with a possible {λ^}/{4}(φ ^{*} φ) ^{2} selfinteraction. These configurations are obtained by solving numerically the coupled system of EinsteinMaxwellKleinGordon equations for nonsingular and asymptotically flat solutions. Static solutions only exist for values of the gauge coupling constant such that e^{2}/4 π ≤ G_{N}m^{2}, where m is the mass of the scalar particle. The maximum mass of the Bose star increases with increasing value of the gauge coupling constant. I discuss also the dynamical stability of the equilibrium configurations, for which I derive the pulsation equation, which governs the time evolution of the infinitesimal radial oscillations, as well as a variational principle for its eigenvalues. The equilibrium configurations with a central density bigger than ϱ_{erit}, corresponding to the critical mass, are dynamically unstable.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 August 1990
 DOI:
 10.1016/09205632(90)906288
 Bibcode:
 1990NuPhS..16..653J