Gravitational stability of scalar matter

Physics – Nuclear Physics

Scientific paper

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Scientific paper

The question of the stability of matter against gravitational collapse is of general interest to astrophysics. In this work we investigate the stability against small radial oscillations of equilibrium configurations of cold, gravitationally bound states of complex scalar fields, known as boson stars. These equilibrium configurations exhibit a mass profile against central density which is very similar to that of ordinary neutron stars, with a pronounced maximum mass at Mc = 0.633MPl2/m, where MPl is the Planck mass, for a certain value of the central density σc(0). We give analytical and numerical proof that configurations with central densities greater than σc(0) are unstable against radial perturbations by studying the behavior of the eigenfrequencies of the perturbations for different values of σ(0).

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