Evolution equations for slowly rotating stars
Adamantios Stavridis, Kostas D. Kokkotas
TL;DR
This paper introduces a hyperbolic formulation for evolving non-radial perturbations in slowly rotating relativistic stars, demonstrating stability and computing polar w-modes, advancing the modeling of stellar oscillations.
Contribution
It presents a new hyperbolic set of evolution equations for non-radial perturbations in slowly rotating stars, improving stability analysis and mode computation.
Findings
The new equations are stable for evolution.
Polar w-modes are successfully computed.
The formulation enhances modeling of stellar oscillations.
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.
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