Tidal deformability and radial oscillations of anisotropic polytropic spheres

José D. V Arbañil, Grigoris Panotopoulos

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2 Scopus citations

Abstract

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.

Original languageEnglish
Article number024008
JournalPhysical Review D
Volume105
Issue number2
DOIs
StatePublished - 15 Jan 2022

Bibliographical note

Funding Information:
J. D. V. A. thanks Universidad Privada del Norte and Universidad Nacional Mayor de San Marcos for the financial support, Grant No. 005753-2021-R/UNMSM under Project No. B21131781. The author G. P. thanks the Fundação para a Ciência e Tecnologia (FCT), Portugal, for the financial support to the Center for Astrophysics and Gravitation-CENTRA, Instituto Superior Técnico, Universidade de Lisboa, through the Projects No. UIDB/00099/2020 and No. PTDC/FIS-AST/28920/2017.

Funding Information:
J. D. V. A. thanks Universidad Privada del Norte and Universidad Nacional Mayor de San Marcos for the financial support, Grant No. 005753-2021-R/UNMSM under Project No. B21131781. The author G. P. thanks the Funda??o para a Ci?ncia e Tecnologia (FCT), Portugal, for the financial support to the Center for Astrophysics and Gravitation-CENTRA, Instituto Superior T?cnico, Universidade de Lisboa, through the Projects No. UIDB/00099/2020 and No. PTDC/FIS-AST/28920/2017.

Publisher Copyright:
© 2022 American Physical Society

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