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    Axial oscillations of viscous neutron stars

    Sofía Bussières1,2, Jaime Redondo-Yuste1,3, José Javier Ortega Gómez1,4, and Vitor Cardoso1,5

    Phys. Rev. D 114, 044012 – Published 5 August, 2026

    DOI: https://doi.org/10.1103/w9nm-ygnf

    Abstract

    The oscillation modes of stars play an important role in observations, and on the understanding of stellar stability properties. The role of viscosity in the oscillation modes of compact stars has been so far understood very loosely only, in absence of a well-posed framework. We use recent breakthroughs in the formulation of a causal and stable theory of relativistic hydrodynamics to study oscillation modes of neutron stars. We characterize the axial spectrum of compact stars and uncover new, viscosity-driven families of modes, without a perfect fluid counterpart. Our results show mode avoidance in some of these families, and a spectrum of long-lived modes, whose role in astrophysical, dynamical processes is yet to be understood.

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