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{\it Fermi}/GBM (Gamma-ray Burst Monitor) and INTEGRAL (the InternationalGamma-ray Astrophysics Laboratory) reported the detection of the $\gamma$-raycounterpart, GRB 170817A, to the LIGO (Light Interferometer Gravitational-waveObservatory)/{\it Virgo} gravitational wave detected binary neutron starmerger, GW 170817. GRB 170817A is likely to have an internal jet or anotherorigin such as cocoon emission, shock-breakout, or a flare from a viscous disc.In this paper, we assume that the $\gamma$-ray emission is caused by energydissipation within a relativistic jet and we model the afterglow synchrotronemission from a reverse- and forward-shock in the outflow. We show theafterglow for a low-luminosity $\gamma$-ray burst (GRB) jet with a highLorentz-factor ($\Gamma$); a low-$\Gamma$ and low-kinetic energy jet; alow-$\Gamma$, high kinetic energy jet; structured jets viewed at an inclinationwithin the jet-half-opening angle; and an off-axis `typical' GRB jet. All jetmodels will produce observable afterglows on various timescales. The late-timeafterglow from 10-110 days can be fit by a Gaussian structured jet viewed at amoderate inclination, however, the GRB is not directly reproduced by thismodel. These jet afterglow models can be used for future GW detected NS mergercounterparts with a jet afterglow origin.

GRB 170817A as a jet counterpart to gravitational wave trigger GW 170817