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Towards an Analytic Construction of the Wavefunction of Boson Stars

arXiv:1706.04272 · doi:10.1103/PhysRevD.96.044039

Abstract

Light scalar fields can form gravitationally bound compact objects called boson stars. The profile of boson stars in the Newtonian limit is described by the Gross-Pitaevskii-Poisson equations. We present a semi-analytic solution to these equations and construct the profile of boson stars formed by a non-interacting scalar field. Our solution is stable with respect to numerical errors and has accuracy better than $10^{-6}$ over the entire range.

9 pages