Speaker
Description
We present prospects of detecting continuous gravitational waves (CWs) with the Einstein Telescope (ET) proposed configurations: the 2L and triangular geometries.
To assess detectability, we combine the sensitivity depth, used for CW search sensitivity estimation, with the targeted $\mathcal{F}$-statistic, the matched-filtering detection statistic. Using sensitivity depths achieved in past CW searches and analytic efforts, we construct a detection threshold $\mathcal{D}^\ast$ for a given detector geometry, observational time, and source parameter space. This threshold intuitively specifies how deep into the detector noise the search can detect a CW signal.
We then apply this framework to a synthetic population of isolated, non-axisymmetric neutron stars (NSs) evolved in the gravitational potential of the Milky Way, yielding the fraction of the Galactic NS population within the ET's reach under each configuration. Furthermore, we examine the resulting parameter space of detectable sources and compare between the detectable synthetic population and currently known NSs catalogued by electromagnetic observations.