X-ray bounds on the r-mode amplitude in millisecond pulsars
  r-mode astroseismology provides a unique way to study the internal composition of compact stars. Due to their precise timing, recycled millisecond radio pulsars present a particularly promising class of sources. Although their thermal properties are still poorly constrained, X-ray data is very useful for astroseismology since r-modes could strongly heat a star. Using known and new upper bounds on the temperatures and luminosities of several non-accreting millisecond radio pulsars we derive bounds on the r-mode amplitude as low as $\alpha\lesssim10^{-8}$ and discuss the impact on scenarios for their internal composition. 
Kai Schwenzer, Tu\u{g}ba Boztepe, Tolga G\"uver and Eda Vurgun
astro-ph.HE gr-qc nucl-th