Central engine of GRB170817A: Neutron star versus Kerr black hole based on multimessenger calorimetry and event timing

preprint2022arXivOpen access

Abstract

The central engine of GRB170817A post-merger to GW170817 is probed by GW-calorimetry and event timing, applied to a post-merger descending chirp which can potentially break the degeneracy in spin-down of a neutron star or black hole remnant by the relatively large energy reservoir in the angular momentum, EJE_J, of the latter according to the Kerr metric. This analysis derives from model-agnostic spectrograms with equal sensitivity to ascending and descending chirps generated by time-symmetric butterfly matched filtering. The sensitivity was calibrated by response curves generated by software injection experiments. The statistical significance for candidate emission from the central engine of GRB170817A is expressed by probabilities of false alarm (PFA; type I errors) derived from an event-timing analysis. PDFs were derived for start-time tst_s, identified via high-resolution image analyses of the available spectrograms. For merged (H1,L1)-spectrograms of the LIGO detectors, a PFA p1p_1 derives from causality in tst_s given GW170817-GRB17081A. A statistically independent confirmation is presented in individual H1 and L1 analyses, in a second PFA p2p_2 of consistency in their respective observations of tst_s. A combined PFA derives from their product since mean and (respectively) difference in timing are statistically independent. Applied to GW170817-GRB170817A, PFAs of event timing in tst_s produce p1=8.3×10−4p_1=8.3\times 10^{-4} and p2=4.9×10−5p_2=4.9\times 10^{-5} of a post-merger output EGW≃3.5%M⊙c2{\cal E}_{GW}\simeq 3.5\%M_\odot c^2 (p1p2=4.1×10−8p_1p_2=4.1\times 10^{-8}, equivalent ZZ-score 5.48). EGW{\cal E}_{GW} exceeds EJE_J of the hyper-massive neutron star in the immediate aftermath of GW170817, yet it is consistent with EJE_J rejuvenated in delayed gravitational collapse to a Kerr black hole. Similar emission may be expected from energetic core-collapse supernovae producing black holes. (Abbr.)

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