# R-mode instability in compact stars

## TL;DR

This paper reviews the theory of r-mode instability in rapidly rotating compact stars, emphasizing its implications for gravitational wave detection and the stars' thermal and spin evolution.

## Contribution

It provides a comprehensive review of the r-mode instability theory, focusing on the instability window, evolution, and detectability in compact stars.

## Key findings

- R-mode oscillations can emit detectable gravitational waves.
- R-modes significantly influence the thermal and spin evolution of stars.
- The paper discusses the conditions under which r-modes become unstable.

## Abstract

R-mode oscillations have been identified as viable and promising targets for continuous gravitational wave searches, meanwhile, it would allow us to probe the interior of compact stars directly. As well as emitting gravitational wave, r-modes would strongly affect the thermal and spin evolution of compact stars. In this paper, we reviewed the theory behind the gravitational wave driven r-mode instability in a rapidly rotating compact star. In particular, we will focus on r-mode instability window, r-mode evolution and detectability of r-mode.