How to search for gravitational waves from $r$-modes of known pulsars. (arXiv:1907.04946v1 [gr-qc])

How to search for gravitational waves from $r$-modes of known pulsars. (arXiv:1907.04946v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Caride_S/0/1/0/all/0/1">Santiago Caride</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Inta_R/0/1/0/all/0/1">Ra Inta</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Owen_B/0/1/0/all/0/1">Benjamin J. Owen</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Rajbhandari_B/0/1/0/all/0/1">Binod Rajbhandari</a> (Texas Tech University)

Searches for continuous gravitational waves from known pulsars so far have
been targeted at or near the spin frequency or double the spin frequency of
each pulsar, appropriate for mass quadrupole emission. But some neutron stars
might radiate strongly through current quadrupoles via $r$-modes, which
oscillate at about four thirds the spin frequency. We show for the first time
how to construct searches over appropriate ranges of frequencies and spin-down
parameters to target $r$-modes from known pulsars. We estimate computational
costs and sensitivities of realistic $r$-mode searches using the coherent
$mathcal{F}$-statistic, and find that feasible searches for known pulsars can
beat spin-down limits on gravitational wave emission even with existing LIGO
and Virgo data.

Searches for continuous gravitational waves from known pulsars so far have
been targeted at or near the spin frequency or double the spin frequency of
each pulsar, appropriate for mass quadrupole emission. But some neutron stars
might radiate strongly through current quadrupoles via $r$-modes, which
oscillate at about four thirds the spin frequency. We show for the first time
how to construct searches over appropriate ranges of frequencies and spin-down
parameters to target $r$-modes from known pulsars. We estimate computational
costs and sensitivities of realistic $r$-mode searches using the coherent
$mathcal{F}$-statistic, and find that feasible searches for known pulsars can
beat spin-down limits on gravitational wave emission even with existing LIGO
and Virgo data.

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