Boson Stars in a Theory of Complex Scalar Fields coupled to $U(1)$ Gauge Field and Gravity

Abstract

We study boson shells and boson stars in a theory of complex scalar field coupled to the $U(1)$ gauge field $A_{\mu }$ and Einstein gravity with the potential: $V(|\Phi |):=\frac{1}{2}{m}^2{\left(|\Phi |+a\right)}^2$. This could be considered either as a theory of massive complex scalar field coupled to electromagnetic field and gravity in a conical potential or as a theory in the presence of a potential which is an overlap of a parabolic and a conical potential. Our theory has a positive cosmological constant $(\Lambda :=4\pi G{m}^2{a}^2)$. Boson stars are found to come in two types, having either ball-like or shell-like charge density. We have studied the properties of these solutions and have also determined their domains of existence for some specific values of the parameters of the theory. Similar solutions have also been obtained by Kleihaus, Kunz, Laemmerzahl and List, in a V-shaped scalar potential.

11 pages, 7 figures. arXiv admin note: text overlap with arXiv:1605.07015; text overlap with arXiv:0902.4799, arXiv:1007.1630 by other authors

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Cited by in corpus (13)

• On the Structure of Rotating Charged Boson Stars
• Charged Compact Boson Stars and Shells in the Presence of a Cosmological Constant
• $U(1)$ gauged boson stars in the Einstein-Friedberg-Lee-Sirlin model
• Boson Stars in a Theory of Complex Scalar Field coupled to Gravity
• Dirac-boson stars
• Some New Results on Charged Compact Boson Stars
• New Results on Charged Compact Boson Stars
• Charged hairy black holes in the gauged Einstein-Friedberg-Lee-Sirlin model
• Compact, charged boson-stars, -shells in the $\mathbb{C}{P}^N$ gravitating nonlinear sigma model
• Gravitating compact $Q$-ball and $Q$-shell solutions in the $\mathbb{C}{P}^N$ nonlinear sigma model
• Phase Diagrams of Charged Compact Boson Stars
• Nodal compact $Q$-ball/$Q$-shell in the $\mathbb{C}{P}^N$ nonlinear sigma model
• Phase analyses for compact, charged boson stars and shells harboring black holes in the $\mathbb{C}{P}^N$ nonlinear sigma model