Eur. Phys. J. C (2018) 78: 257
https://doi.org/10.1140/epjc/s10052-018-5745-9

Regular Article - Theoretical Physics

Analytical study of charged boson stars with large scalar self-couplings

¹ National Institute of Technology, Gifu College, Motosu-shi, Gifu, 501-0495, Japan
² Graduate School of Sciences and Technology for Innovation, Yamaguchi University, Yamaguchi-shi, Yamaguchi, 753–8512, Japan

^* e-mail: shiraish@yamaguchi-u.ac.jp

Received: 3 December 2017
Accepted: 16 March 2018
Published online: 24 March 2018

Abstract

We give good approximate analytic solutions for spherical charged boson stars in the large scalar-self-coupling limit in general relativity. We show that if the charge e and mass m of the scalar field nearly satisfy the critical relation (where G is the Newton constant), our analytic expressions for stable solutions agree well with the numerical solutions.