Rotating Polytropic Twins and the Fragmentation Problem

Abstract

Polytropic \(n = 1\) stellar configurations with strong differential rotation have been considered. The so-called twin configurations: stars having almost identical integral characteristics, but clearly structurally different have been found. Hydrodynamic 3D modeling has been performed for two such structures and has shown that these configurations also differ in the dynamic aspect: one of them remains practically stationary, while the other turns out to be unstable with respect to the development of the bar mode and fragmentation. The gravitational wave signal accompanying the fragmentation process has been calculated.