Evolution equations for slowly rotating stars

Abstract

We present a hyperbolic formulation of the evolution equations describing non-radial perturbations of slowly rotating relativistic stars in the Regge--Wheeler gauge. We demonstrate the stability preperties of the new evolution set of equations and compute the polar w-modes for slowly rotating stars.

27 pages, 2 figures

References in corpus (1)

• Nonlinear Pulsations in Differentially Rotating Neutron Stars: Mass-Shedding-Induced Damping and Splitting of the Fundamental Mode

Cited by in corpus (11)

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• Crustal Oscillations of Slowly Rotating Relativistic Stars
• Dynamics of Fast Rotating Neutron Stars: An Approach in the Hilbert Gauge
• Nonradial oscillations of slowly and differentially rotating compact stars
• Gravitational waves from pulsations of neutron stars described by realistic Equations of State
• Inertial modes of rigidly rotating neutron stars in Cowling approximation
• Non-axisymmetric oscillations of differentially rotating relativistic stars
• Eigenmode frequency distribution of rapidly rotating neutron stars
• Torsional Oscillations of Slowly Rotating Relativistic Stars