LIGO Document P2100069-v7

Constraints from LIGO O3 data on gravitational wave emission due to r-modes in the glitching pulsar PSR J0537-6910

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We present a search for gravitational wave emission due to r-modes in the pulsar PSR J0537-6910, using data from the third observing run of LIGO and Virgo. PSR J0537-6910 is a young energetic X-ray pulsar and is currently the known most frequent glitcher. Furthermore the inter-glitch braking index suggests that gravitational wave emission due to r-modes may play an important role in the spindown of this pulsar. Theoretical models also confirm this possibility, and predict emission at a level that can be probed by ground based detectors. In order to explore this scenario, we search for r-mode emission in the epochs between glitches, making use of timing ephemeris obtained from \textit{NICER} data. We do not detect any signals, but report upper limits on the amplitude of the gravitational waves. Our upper limits place stringent constraints on theoretical models for an r-mode driven spin-down in PSR J0537-6910, especially for high frequencies at which our results probe below the spin-down limit.
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