First searches for gravitational waves from r-modes of the Crab pulsar
Binod Rajbhandari, Benjamin J. Owen, Santiago Caride, and Ra Inta

TL;DR
This paper reports the first search for gravitational waves from r-modes of the Crab pulsar, setting upper limits that surpass the spin-down limit by over an order of magnitude, using data from Advanced LIGO.
Contribution
It introduces the first upper limits on gravitational waves from r-modes of a known pulsar that beat its spin-down limit, using coherent analysis of LIGO data.
Findings
No gravitational waves detected from Crab pulsar r-modes.
Established upper limits below the spin-down limit.
Demonstrated the sensitivity of current detectors to r-mode signals.
Abstract
We present the first searches for gravitational waves from r-modes of the Crab pulsar, coherently and separately integrating data from three stretches of the first two observing runs of Advanced LIGO using the F-statistic. The second run was divided in two by a glitch of the pulsar roughly halfway through. The frequencies and derivatives searched were based on radio measurements of the pulsar's spin-down parameters as described in Caride et al., Phys. Rev. D 100, 064013 (2019). We did not find any evidence of gravitational waves. Our best 90% confidence upper limits on gravitational wave intrinsic strain were 1.5e-25 for the first run, 1.3e-25 for the first stretch of the second run, and 1.1e-25 for the second stretch of the second run. These are the first upper limits on gravitational waves from r-modes of a known pulsar to beat its spin-down limit, and they do so by more than an order…
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