2021/12/17 by José D. V. Arbañil, José D. V. Arbañil, Grigoris Panotopoulos · 18 citations
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Differential Geometry Research #Anisotropy #Astronomy #Classical mechanics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #Mechanics #Optics #Physics #Polytropic process #SPHERES #gr-qc
paper · pdf · doi:10.1103/physrevd.105.024008
published in Physical review. D/Physical review. D. 105(2) (American Physical Society) · To appear in PRD
arxiv created 2021/12/17 · openalex publication_date 2022/01/04 · arxiv updated 2022/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the equilibrium, the fundamental eigenfrequency of oscillations modes, and quadrupolar tidal deformability of anisotropic polytropic spheres. These studies are respectively performed through the numerical solution of the Tolman-Oppenheimer-Volkoff equation, Chandrasekhar radial oscillation equations, and nonlinear first-order Riccati equation for tidal deformability, all modified from their original version to include the anisotropic effects. For the polytropic exponent γ=2 and the anisotropic model of Cattoen, Faber, and Visser, we show that the anisotropy could be reflected in the radial pressure, energy density, speed of sound, radial stability, and tidal deformability.