# Radial oscillations of quark stars from perturbative QCD

## TL;DR

This paper analyzes the stability of unpaired quark stars using perturbative QCD, incorporating interactions and uncertainties, and constrains their vibrational modes based on recent gravitational wave observations.

## Contribution

It provides a relativistic stability analysis of quark stars with a novel equation of state from perturbative QCD, including systematic uncertainties and observational constraints.

## Key findings

- Stability conditions for quark stars derived from perturbative QCD.
- Constraints on quark star masses and radii from GW 170817.
- Restricted vibrational spectrum consistent with gravitational wave data.

## Abstract

We perform the general relativistic stability analysis against radial oscillations of unpaired quark stars obtained using the equation of state for cold quark matter from perturbative QCD, the only free parameter being the renormalization scale. This approach consistently incorporates the effects of interactions and includes a built-in estimate of the inherent systematic uncertainties in the evaluation of the equation of state. We also take into account the constraints imposed by the recent gravitational wave event GW 170817 to the compact star masses and radii, and restrict their vibrational spectrum.