Charged compact boson stars and shells in the presence of a cosmological constant

Abstract

In this work we study the boson stars and boson shells in a theory involving massive complex scalar fields coupled to the U(1) gauge field and gravity in a conical potential in the presence of a cosmological constant Λ which we treat as a free parameter taking positive and negative values and thereby allowing us to study the theory in the de Sitter and Anti de Sitter spaces respectively. 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 theory involving massless complex scalar fields coupled to the U(1) gauge field and gravity in a conical potential in the absence of a cosmological constant Λ.

Phase diagrams of charged compact boson stars

“…Here compact is meant to describe a solution whose scalar field vanishes outside a compact region of space identically. Thus while ordinary boson stars do not feature sharp boundaries, since their scalar field exhibits only an exponential fall-off, in compact boson stars, the scalar field is completely confined to a finite region of space [27][28][29][30][31][32][33][34][35].…”

“…Studies of the charged compact boson stars in a theory involving a massive complex scalar field with a conical potential coupled to a U(1) gauge field and gravity were undertaken in Refs. [31,32] and [33,34]. In this work, the 2D and 3D phase diagrams were investigated in rather great detail, and multiple bifurcation points showing the presence of rather rich physics were obtained for a particular range of the parameters of the theory.…”

“…Our numerical procedure is based on the Newton-Raphson scheme with an adaptive stepsize Runge-Kutta method of order 4, and our numerical techniques have been calibrated by reproducing the previous work of Refs. [27,28,35] and [31][32][33][34].…”

Gravitating compact Q -ball and Q -shell solutions in the CPNKlimas1, Sawado2, Yanai3 2019Phys. Rev. D100130View full textAdd to dashboardCite

“…Many results concerning compact boson stars and shells are presented in [15][16][17][18]. For the boson shell configurations, one possibility is the case that the gravitating boson shells surround a flat Minkowski-like interior region r < rin while the exterior region r > rout is the exterior of an Reissner-Nordström solution.…”

Some new results on charged compact boson stars

“…We have calibrated our numerical techniques by reproducing the work of Refs. [1,2] and [14,15,16,17].…”