Oscillations and instabilities of fast and differentially rotating relativistic stars
Oscillations and instabilities of fast and differentially rotating relativistic stars
We study nonaxisymmetric oscillations of rapidly and differentially rotating relativistic stars in the Cowling approximation. Our equilibrium models are sequences of relativistic polytropes, where the differential rotation is described by the relativistic $j$-constant law. We show that a small degree of differential rotation raises the critical rotation value for which …