Abstract
Gravitational wave echoes, if they exist, could encode important information of new physics from the strong gravity regime. Current echo searches usually assume constant interval echoes (CIEs) a priori, although unequal interval echoes (UIEs) are also possible. Despite of its simplicity, the using of CIE templates need to be properly justified, especially given the high sensitivity of future gravitational wave detectors. In this paper, we assess the necessity of UIE templates in echo searches. By reconstructing injected UIE signals with both CIE and UIE templates, we show that the CIE template may significantly misinterpret the echo signals if the variation of the interval is greater than the statistical errors of the interval, which is further confirmed by a Bayesian analysis on model stelection. We also forecast the constraints on the echo intervals given by future GW detectors such as Advanced LIGO and Einstein Telescope.
Highlights
The laser interferometer gravitational wave observatory (LIGO) and Virgo experiments have already successfully detected a dozen of compact binary coalescence events [1,2,3], which has opened up a new window into the strong gravity regime
As the most extremely compact objects characterized by the existence of event horizons, black holes are some of the most intriguing objects to be tested with gravitational wave (GW) observations
The events observed so far are compatible with black holes predicted in general relativity (GR), it would be still premature to declare the existence of the black hole event horizon [6]
Summary
The laser interferometer gravitational wave observatory (LIGO) and Virgo experiments have already successfully detected a dozen of compact binary coalescence events [1,2,3], which has opened up a new window into the strong gravity regime. Echoes in the late-time ringdown signal are caused by repeated reflections between the ECO’s surface and the potential barrier at the photo sphere. Given the various possibilities and unknown nature of the structure of the ECO surface and the ringdown dynamics, unequal interval echoes (UIEs) may appear. A same approach is utilized by [34,35,36,37,38] with PyCBC Inference for Bayesian model selection These works focused on echoes with constant time interval. B H (t) is the post-merger black hole-like waveform with amplitude A, damping time τ , reference phase φ, and central frequency f . echo(t) is a fiducial echo waveform,
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