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Tidal deformability and radial oscillations of anisotropic polytropic spheres

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arxiv 2112.09729 v1 pith:K5FFEWH3 submitted 2021-12-17 gr-qc

Tidal deformability and radial oscillations of anisotropic polytropic spheres

classification gr-qc
keywords anisotropicdeformabilityradialtidalpolytropicequationoscillationsspheres
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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 $\gamma=2$ 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    gr-qc 2025-09 conditional novelty 6.0

    Pressure anisotropy in strange quark stars measurably changes the f-mode oscillation frequency and the dimensionless tidal deformability, with positive anisotropy increasing mass and deformability while lowering the f...

  2. Radial oscillations of quark stars in light of current astrophysical constraints: A comparative study

    gr-qc 2026-06 unverdicted novelty 3.0

    Comparative numerical study of radial modes in strange quark stars using CFL, interacting, and linear causal EOS shows all satisfy current mass-radius bounds and produce 4-7 kHz fundamental frequencies.