Prospects of strongly lensed fast radio bursts: Simultaneous measurement of post-Newtonian parameter and Hubble constant

Understand

Strong gravitational lensing effect is a powerful tool to probe cosmological models and gravity theories.

• Recently, the time-delay cosmography from strong lensing and the stellar kinematics of the deflector, which encode the Hubble constant and the post-Newtonian parameter via two distance ratios reflecting the lensing mass and dynamical mass respectively, have been proposed to investigate these two parameters simultaneously.
• Among strong lensing systems with different sources, strongly lensed fast radio bursts (FRBs) have been proposed as precision probes of the universe since the time delay $\sim$ 10 days between images could be measured extremely precisely because of their short duration of a few milliseconds.
• In this work, we investigate the ability of strongly lensed FRBs on simultaneously estimating these two parameters via simulations.