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

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.