Prospects for true calorimetry on Kerr black holes in core-collapse supernovae and mergers

TL;DR

This paper explores the potential for true calorimetry on Kerr black holes in supernovae and mergers by analyzing gravitational wave signals, introducing a new filtering method, and estimating detection sensitivities for current and future detectors.

Contribution

It introduces a time sliced matched filtering method to detect gravitational waves from black hole spin-down and estimates the sensitivity distances for current and advanced detectors.

Findings

Sensitivity distance of 0.07-0.10 Mpc for TAMA 300 at 1 kHz.

Extrapolated sensitivity distance of 35-50 Mpc for advanced detectors.

Potential to open a new window for calorimetry on Kerr black holes.

Abstract

Observational evidence for black hole spin down has been found in the normalized light curves of long GRBs in the BATSE catalogue. Over the duration $T_{90}$ of the burst, matter swept up by the central black hole is susceptible to non-axisymmetries producing gravitational radiation with a negative chirp. A time sliced matched filtering method is introduced to capture phase-coherence on intermediate timescales, $\tau$, here tested by injection of templates into experimental strain noise, $h_n(t)$. For TAMA 300, $h_n(f)\simeq 10^{-21}$ Hz$^{-\frac{1}{2}}$ at $f=1$ kHz gives a sensitivity distance for a reasonably accurate extraction of the trajectory in the time frequency domain of about $D\simeq 0.07-0.10$ Mpc for spin fown of black holes of mass $M=10-12M_\odot$ with $\tau=1$ s. Extrapolation to advanced detectors implies $D\simeq 35-50$ Mpc for $h_n(f)\simeq 2\times 10^{-24}$ Hz$^{-\frac{1}{2}}$ around 1 kHz, which will open a new window to rigorous calorimetry on Kerr black holes.