Fluid pulsation modes and tidal deformability of anisotropic strange stars in light of the GW170817 event

Abstract

The effects of anisotropy on the fluid pulsation modes when adopting the so-called Cowling approximation and the tidal deformability of strange-quark stars are investigated by numerically integrating the hydrostatic equilibrium, nonradial oscillation, and tidal deformability equations, all of which are modified from their standard form to include the anisotropic effects. The fluid matter inside compact stars is described by the MIT bag model equation of state. For the anisotropy profile, we consider a local anisotropy that is both regular at the center and null at the star’s surface. We find that the effect of anisotropy is reflected in the fluid pulsation modes and tidal deformability. Finally, we analyze the correlation between the tidal deformability of the GW170817 event and anisotropy.