Analytical Approximation for Newtonian Boson Stars in Four and Five Dimensions -- A Poor Person's Approach to Rotating Boson Stars

Abstract

In this paper, we study rotating boson stars in the large coupling limit as well as in the Newtonian limit. We investigate the equilibrium solutions in four and five dimensions by adopting some analytical approximations. We show that the relations among the radius, angular momentum, Newtonian energy and quadrupole moment (for the four-dimensional solution) of the boson star can be qualitatively realized for the minimal number of boson star parameters.

21 pages, 6 figures. version 3 (Added some explanations)

References in corpus (2)

• Kerr black holes with self-interacting scalar hair: hairier but not heavier
• Minimal boson stars in 5 dimensions: classical instability and existence of ergoregions

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