Prospects of calibrating afterglow modeling of short GRBs with gravitational wave inclination angle measurements and resolving the Hubble tension with a GW-GRB association event

Abstract

In the numerical modeling of the GRB afterglow, some approximations have been made for simplicity, and different groups developed their codes. A robust test of these models/approaches is challenging because of the lack of directly measured physical parameters. Fortunately, the viewing angle inferred from the afterglow modeling is widely anticipated to be the same as the inclination angle of the binary neutron star (BNS) mergers that can be evaluated with the gravitational wave (GW) data. Therefore in the future, it is possible to calibrate the afterglow modeling with the GW inclination angle measurements. We take three methods, including both analytical estimations and direct simulations, to project the uncertainties of the inclination angle measurements. For some BNS mergers accompanied with electromagnetic counterparts detected in the O4/O5 runs of LIGO/Virgo/KAGRA/LIGO-India detectors, we show that the inclination angle can be determined within an uncertainty of $\le 0.1$ rad, supposing that the Hubble constant is known with an accuracy of $\le 3\%$ and the uncertainty of Hubble flow velocity is within $\sim 1\%$. The off-axis GRB outflow will give rise to afterglow emission, and the most energetic ones may be detectable at the distance of $\sim$ 100-200 Mpc even for a viewing angle of $\ge 0.3$ rad. Such events can thus serve as a robust test of the afterglow modeling approach. We have also evaluated the prospect of resolving the so-called Hubble tension with a single GW/GRB association event. We find out that a $\sim 3\%$ precision Hubble constant is obtainable if the uncertainty of the viewing angle can be constrained to be within $\sim 0.1$ rad, which is expected to be the case for some nearby ($\le 250$ Mpc) bright/on-axis GRBs with a well-behaved afterglow light curve displaying a clear achromatic break at early times.

18 pages, 11 figures, and 1 table; PRD in press

References in corpus (24)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Multi-messenger Observations of a Binary Neutron Star Merger
• The James Webb Space Telescope
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• A gravitational-wave standard siren measurement of the Hubble constant
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• The Physics of Gamma-Ray Bursts and Relativistic Jets
• The X-ray counterpart to the gravitational wave event GW 170817
• Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with LambdaCDM
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• The optical afterglow of GW170817 at one year post-merger
• High Energy Afterglow from Gamma-ray Bursts
• The Science Case for LIGO-India
• Gamma Ray Bursts Are Observed Off-Axis
• The peculiar velocity field up to $z\sim 0.05$ by forward-modeling Cosmicflows-3 data
• The Deep and Transient Universe in the SVOM Era: New Challenges and Opportunities - Scientific prospects of the SVOM mission
• Measuring the Hubble Constant with a sample of kilonovae
• The Southern Wide-Field Gamma-Ray Observatory (SWGO): A Next-Generation Ground-Based Survey Instrument for VHE Gamma-Ray Astronomy
• Prospects for multi-messenger detection of binary neutron star mergers in the fourth LIGO-Virgo-KAGRA observing run
• The HERMES-Technologic and Scientific Pathfinder
• Late afterglow emission statistics: a clear link between GW170817 and bright short GRBs
• Gamma-Ray Burst detection prospects for next generation ground-based VHE facilities
• A kilonova from an ultra-quick merger of a neutron star binary

Cited by in corpus (7)

• On the evolution of the Hubble constant with the SNe Ia Pantheon Sample and Baryon Acoustic Oscillations: a feasibility study for GRB-cosmology in 2030
• Cosmography with next-generation gravitational wave detectors
• The late afterglow of GW170817/GRB170817A: a large viewing angle and the shift of the Hubble constant to a value more consistent with the local measurements
• Analytic Model for Off-Axis GRB Afterglow Images -- Geometry Measurement and Implications for Measuring $H_0$
• Prospects of constraining $f(T)$ gravity with the third-generation gravitational-wave detectors
• Joint analysis of gravitational-wave and electromagnetic data of mergers: breaking an afterglow model degeneracy in GW170817 and in future events
• Gravitational-wave standard sirens and application in cosmology