Towards an Analytic Construction of the Wavefunction of Boson Stars

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

References in corpus (5)

• Ultralight scalars as cosmological dark matter
• A Search for Dark Matter Axions with the Orpheus Experiment
• Axion Stars in the Infrared Limit
• Hydrogen Axion Star: Metallic Hydrogen Bound to a QCD Axion BEC
• A Newtonian Analysis of Multi-scalar Boson Stars with Large Self-couplings

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• Diffuse X-Ray and Gamma-Ray Limits on Boson Stars that Interact with Nuclei
• Techniques for Solving Static Klein-Gordon Equation with Self-Interaction $\lambda {\varphi }^4$ and Arbitrary Spherical Source Terms
• Non-relativistic Boson Stars as N-Body Quantum Systems
• Challenging theories of gravitation: dark matter, compact objects and gravitational waves
• Soliton boson stars, Q-balls and the causal Buchdahl bound
• The Gravity of Classical Fields: And Its Effect on the Dynamics of Gravitational Systems