New static axisymmetric and nonvacuum solutions in general relativity: Equilibrium solutions of boson stars

Physics

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Exact Solutions, Stellar Structure, Interiors, Evolution, Nucleosynthesis, Ages

Scientific paper

We succeed in obtaining static axisymmetric and nonvacuum spacetime by considering massive complex scalar fields. Since there can be nonspherical scalar waves whose contributions to the spacetime can be static, the spacetime around equilibrium configurations of massive scalar fields, i.e., boson stars, can be static and axisymmetric. In this new solution the density of the matter has two peaks along the symmetry axis. Consequently, the metric functions are considerably nonspherical and show a two-peaked feature. Concerning axisymmetric boson stars, we have obtained a sequence of equilibrium states by changing one parameter which characterizes the model. Along this one-parameter sequence there appears the maximum mass model. It implies that equilibrium states change the nature of its stability at that point along the equilibrium sequence. The value of the maximum mass is 1.05M2Pl/m, where MPl and m are the Planck mass and the mass of the scalar field, respectively.

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