Matching of the continuous gravitational wave in an all sky search

TL;DR

This paper studies how continuous gravitational wave signals match across the sky in all-sky searches, analyzing the impact of source location parameters and symmetries on detection strategies for various detectors.

Contribution

It provides an analysis of sky location symmetries and their relevance in continuous gravitational wave searches across different Earth-based detectors.

Findings

Matching decreases for sky locations differing by π radians at higher frequencies.

Symmetries in sky locations may not be critical for current detector searches.

Analysis applicable to LIGO-I, GEO600, and TAMA detectors.

Abstract

We investigate the matching of continuous gravitational wave (CGW) signals in an all sky search with reference to Earth based laser interferometric detectors. We consider the source location as the parameters of the signal manifold and templates corresponding to different source locations. It has been found that the matching of signals from locations in the sky that differ in their co-latitude and longitude by $\pi$ radians decreases with source frequency. We have also made an analysis with the other parameters affecting the symmetries. We observe that it may not be relevant to take care of the symmetries in the sky locations for the search of CGW from the output of LIGO-I, GEO600 and TAMA detectors.