Radial oscillations of relativistic stars

TL;DR

This paper provides a comprehensive survey of radial oscillation modes in neutron stars, offering accurate frequency data across various equations of state to aid nonlinear Einstein equation simulations.

Contribution

It introduces a new, validated survey of neutron star radial oscillation frequencies, correcting and extending previous studies with multiple numerical methods.

Findings

Extensive list of oscillation frequencies for common and recent equations of state.

Validation of results using two independent numerical schemes.

Improved accuracy and reliability of radial oscillation data.

Abstract

We present a new survey of the radial oscillation modes of neutron stars. This study complements and corrects earlier studies of radial oscillations. We present an extensive list of frequencies for the most common equations of state and some more recent ones. In order to check the accuracy, we use two different numerical schemes which yield the same results. The stimulation for this work comes from the need of the groups that evolve the full nonlinear Einstein equation to have reliable results from perturbation theory for comparison.