Abstract

Gravitational-wave detected neutron star mergers provide an opportunity to investigate short gamma-ray burst (GRB) jet afterglows without the GRB trigger. Here we show that the post-peak afterglow decline can distinguish between an initially ultra-relativistic jet viewed off-axis and a mildly relativistic wide-angle outflow. Post-peak the afterglow flux will decline as $F_\nu \propto t^{-\alpha}$. The steepest decline for a jet afterglow is $\alpha>3p/4$ or $> (3p+1)/4$, for an observation frequency below and above the cooling frequency, respectively, where $p$ is the power-law index of the electron energy distribution. The steepest decline for a mildly relativistic outflow, with initial Lorentz factor $\Gamma_0\lesssim 2$, is $\alpha\lesssim(15p-19)/10$ or $\alpha\lesssim(15p-18)/10$, in the respective spectral regimes. If the afterglow from GW170817 fades with a maximum index $\alpha > 1.5$ then we are observing the core of an initially ultra-relativistic jet viewed off the central axis, while a decline with $\alpha\lesssim 1.4$ after $\sim 5$--10 peak times indicates that a wide-angled and initially $\Gamma_0\lesssim 2$ outflow is responsible. At twice the peak time, the two outflow models fall on opposite sides of $\alpha \approx 1$. So far, two post-peak X-ray data points at 160 and 260 days suggest a decline consistent with an off-axis jet afterglow. Follow-up observations over the next 1--2 years will test this model.

Highlights

  • Binary neutron star or neutron star–black hole mergers are the likely progenitor systems for gamma-ray bursts (GRBs) with a duration 2 s, the so-called short GRBs (Eichler et al 1989; Narayan, Paczynski & Piran 1992; Mochkovitch et al 1993; Bogomazov, Lipunov & Tutukov 2007; Nakar 2007)

  • Gravitational wave (GW) detected mergers involving a neutron star provide a new trigger for afterglow searches free of the inclination constraints of the GRB trigger, where the GRB is highly beamed from within an ultrarelativistic jet

  • By including the cocoon with each jet, we show that the cocoon accompanying a jet does not contribute to the afterglow at late times, where the energy in the cocoon is less than the jet energy

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Summary

Introduction

Binary neutron star or neutron star–black hole mergers are the likely progenitor systems for gamma-ray bursts (GRBs) with a duration 2 s, the so-called short GRBs (Eichler et al 1989; Narayan, Paczynski & Piran 1992; Mochkovitch et al 1993; Bogomazov, Lipunov & Tutukov 2007; Nakar 2007). The GW- detected merger of a binary neutron star system, GW170817 (Abbott et al 2017a), was associated with a weak GRB (Abbott et al 2017b; Fermi-LAT Collaboration 2017; Savchenko et al 2017), an optical afterglow over the days following the merger (e.g. Arcavi et al 2017; Chornock et al 2017; Coulter et al 2017; Covino et al 2017; Cowperthwaite et al 2017; Dıaz et al 2017; Drout et al 2017; Evans et al 2017; Kilpatrick et al 2017; Lipunov et al 2017; McCully et al 2017; Nicholl et al 2017; Pian et al.2017; Shappee et al 2017; Smartt et al 2017; Soares-Santos et al 2017; Tanvir et al 2017; Valenti et al 2017; Buckley et al 2018; Tominaga et al 2018), and from ∼10 d after the merger, a broadband afterglow that appeared first at X-ray frequencies (Haggard et al 2017; Margutti et al 2017; Troja et al 2017) and later at radio frequencies (Alexander et al 2017; Hallinan et al 2017; Kim et al 2017). The later broad-band afterglow continued to rise over ∼150 d with optical observations by the Hubble Space Telescope confirming the single power law from radio to X-ray frequencies at ∼90 d (Lyman et al 2018), continued radio brightening >100 d (Resmi et al 2018), and a turnover detected at radio and X-ray frequencies (Alexander et al 2018; Dobie et al 2018; Nynka, Ruan & Haggard 2018)

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