Stellar instability from parametric resonance

Abstract

In this paper we examine the stability of stellar configurations in which the interior solution is described by a closed Friedmann-Lemaître-Robertson-Walker (FLRW) geometry sourced with a charged pressureless fluid and radiation. An interacting vacuum component and a conformally coupled massive scalar field are also included. Given a simple factor for the energy transfer between the pressureless fluid and the vacuum component we obtain bounded interior oscillatory solutions. We show that in proper domains of the parameter space the interior dynamics is highly unstable so that the break of the Kolmogorov–Arnold–Moser (KAM) tori leads to a disruptive ejection of mass. For such configurations the interior solution asymptotically matches an exterior Reissner–Nordström–de Sitter spacetime.