The dipole oscillations of general relativistic neutron stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Neutron Stars, Relativity, Stellar Models, Stellar Oscillations, Dipoles, Variational Principles

Scientific paper

The theory of the dipole oscillations of fully relativistic neutron stars is investigated. The equations governing these modes are reduced to a third-order system; and the variational principle for the frequencies of these modes is reduced to a form involving only two independent functions. The equations that determine the damping of these modes, which is due to viscous dissipation, are presented. The frequencies and viscous damping times for a range of realistic neutron star models based on a number of equations of state and a range of masses are determined by solving these dipole oscillation equations numerically.

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