Detection of Gravitational Wave modes in third generation detectors

TL;DR

This paper assesses the ability of upcoming third-generation ground-based gravitational wave detectors, like Cosmic Explorer and Einstein Telescope, to detect various GW modes, including elusive w-modes from spinning neutron stars.

Contribution

It demonstrates that these detectors will effectively observe gravitational wave modes, especially w-modes, with good signal-to-noise ratios at their operational frequencies.

Findings

Both detectors will detect GW modes emitted by black holes and neutron stars.

They will observe w-modes with high SNR, previously difficult to detect.

Detection is feasible at the detectors' full spectral range frequencies.

Abstract

We investigate the detectability of Gravitational Wave (GW) modes (emitted by black-holes and neutron stars) by third generation, ground-based gravitational wave detectors planned to be operational in the next decade. Our analysis focuses on the Cosmic Explorer and Einstein Telescope projects, which are expected to have arm lengths of tens of kilometers and to experience the amplification of a gravitational wave signal at their Full-Spectral Range (FSR) frequencies. We find that both projects will also observe with good Signal-to-Noise ratio (SNR) the elusive {\it w-modes}, which are expected to be emitted at these frequencies by spinning neutron stars.