2023/04/03 by Villegas, Laura O., Moreno, Claudia, Pajkos, Michael A. +2 · 3 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.2304.01267
In this work we propose an analytical model that reproduces the core-bounds phase of gravitational waves (GW) of Rapidly Rotating (RR) from Core Collapse Supernovae (CCSNe), as a function of three parameters, the arrival time τ, the ratio of the kinetic and potential energy β and a phenomenological parameter α related to rotation and equation of state (EOS). To validate the model we use 126 waveforms from the Richers catalog \citeRichers2017 selected with the criteria of exploring a range of rotation profiles, and involving EOS. To quantify the degree of accuracy of the proposed model, with a particular focus on the rotation parameter β, we show that the average Fitting Factor (FF) between the simulated waveforms with the templates is 94.4%. In order to estimate the parameters we propose a frequentist matched filtering approach in real interferometric noise which does not require assigning any priors. We use the Matched Filter (MF) technique, where we inject a bank of templates considering simulated colored Gaussian noise and the real noise of O3L1. For example for A300w6.00_BHBLP at 10Kpc we obtain a standar deviation of σ= 3.34× 10-3 for simulated colored Gaussian noise and σ= 1.46× 10-2 for real noise. On the other hand, from the asymptotic expansion of the variance we obtain the theoretical minimum error for β at 10 kpc and optimal orientation. The estimation error in this case is from 10-2 to 10-3 as β increases. We show that the results of the estimation error of β for the 3-parameter space (3D) is consistent with the single-parameter space (1D), which allows us to conclude that β is decoupled from the others two parameters.