Examining the influence of anisotropy on the fundamental mode of nonradial oscillation in quark stars on a complete general relativistic scheme
José D. V. Arbañil, Gabriel O. Cavalheiro, Victor B. T. Alves, Juan M. Z. Pretel, César O. V. Flores, César H. Lenzi
公開日: 2025/9/15
Abstract
The anisotropic influence on the $f$-mode frequency of oscillations and dimensionless tidal deformability of strange quark matter are analyzed by employing the nonradial oscillation equations for the complete general relativity frame and tidal deformability equations, which are derived and modified from their standard form to introduce the anisotropic factor. The fluid in the compact star follows the MIT bag model with vector coupling. For the anisotropic function, we use a local anisotropy, which is regular along the whole star and is null both at the center and on the star's surface. We show that the $f$-frequency of oscillation and dimensionless tidal deformability change considerably with the anisotropy. Finally, we investigate the correlation between the dimensionless tidal deformability of the GW$170817$ event with the anisotropy.