Afterglow Lightcurves from Misaligned Structured Jets

Abstract

GRB 170817A/GW 170817 is the first GRB clearly viewed far from the GRB jet's symmetry axis. Its afterglow was densely monitored over a wide range of frequencies and times. It has been modeled extensively, primarily numerically, and although this endeavour was very fruitful, many of the underlying model parameters remain undetermined. We provide analytic modelling of GRB afterglows observed off-axis, considering jets with a narrow core (of half-opening angle ${\theta }_{\mathrm{c}}$) and power-law wings in energy per unit solid angle ($\epsilon ={\epsilon }_c{\Theta }^{-a}$ where $\Theta =[1+(\theta /{\theta }_{\mathrm{c}}{)}^2{]}^{1/2}$) and initial specific kinetic energy (${\Gamma }_0-1=[{\Gamma }_{\mathrm{c},0}-1]{\Theta }^{-b}$), as well as briefly discuss Gaussian jets. Our study reveals qualitatively different types of lightcurves that can be viewed in future off-axis GRBs, with either single or double peaks, depending on the jet structure and the viewing angle. Considering the lightcurve shape rather than the absolute normalizations of times and / or fluxes, removes the dependence of the lightcurve on many of the highly degenerate burst parameters. This study can be easily used to determine the underlying jet structure, significantly reduce the effective parameter space for numerical fitting attempts and provide physical insights. As an illustration, we show that for GRB 170817A, there is a strong correlation between the allowed values of ${\Gamma }_{\mathrm{c},0}$ and $b$, leading to a narrow strip of allowed solutions in the ${\Gamma }_{\mathrm{c},0}$-$b$ plane above some minimal values ${\Gamma }_{\mathrm{c},0}\gtrsim 40,b\gtrsim 1.2$. Furthermore, the Lorentz factor of the material dominating the early lightcurve can be constrained by three independent techniques to be ${\Gamma }_0({\theta }_{\min ,0})\approx 5-7$.

14 pages, 17 figures. Published in MNRAS

References in corpus (12)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Origin of the heavy elements in binary neutron-star mergers from a gravitational wave event
• Illuminating Gravitational Waves: A Concordant Picture of Photons from a Neutron Star Merger
• The Millisecond Magnetar Central Engine in short GRBs
• Electromagnetic Counterparts to Structured Jets from Gravitational Wave Detected Mergers
• The optical afterglow of GW170817 at one year post-merger
• Off-axis short GRBs from structured jets as counterparts to GW events
• Bulk Lorentz factors of Gamma-Ray Bursts
• Lessons from the short GRB170817A - the First Gravitational Wave Detection of a Binary Neutron Star Merger
• Observable Features of GW170817 Kilonova Afterglow
• What can we learn from "internal plateaus"? The peculiar afterglow of GRB 070110

Cited by in corpus (1)

• Constraining the Jet Launching Time of GRB 170817A by Utilizing the Baryon Loading