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

Abstract

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. Take the expected FRB detection rate of upcoming facilities and lensing probability into consideration, it is likely to accumulate 10 lensed FRBs in several years and we find that $H_0$ could be determined to a $\sim 1.5\%$ precision and ${\gamma }_{\mathrm{PPN}}$ could be constrained to a $\sim 8.7\%$ precision simultaneously from them. These simultaneous estimations will be helpful for properly reflecting the possible correlation between these two fundamental parameters.

6 pages, 2 figures

References in corpus (14)

• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• A bright millisecond radio burst of extragalactic origin
• The direct localization of a fast radio burst and its host
• A distance to the Large Magellanic Cloud that is precise to one per cent
• H0LiCOW V. New COSMOGRAIL time delays of HE0435-1223: $H_0$ to 3.8% precision from strong lensing in a flat $\Lambda$CDM model
• A Second Source of Repeating Fast Radio Bursts
• H0LiCOW IV. Lens mass model of HE 0435-1223 and blind measurement of its time-delay distance for cosmology
• Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles
• A blinded determination of $H_0$ from low-redshift Type Ia supernovae, calibrated by Cepheid variables
• H0LiCOW III. Quantifying the effect of mass along the line of sight to the gravitational lens HE 0435-1223 through weighted galaxy counts
• Determining $H_0$ with Bayesian hyper-parameters
• Constraint on the Post-Newtonian Parameter gamma on Galactic Size Scales
• Cosmology-insensitive estimate of IGM baryon mass fraction from five localized fast radio bursts
• Direct Estimate of the Post-Newtonian Parameter and Cosmic Curvature from Galaxy-scale Strong Gravitational Lensing

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• Multi-messenger Gravitational Lensing
• Hunting Galactic Axion Dark Matter with Gravitationally Lensed Fast Radio Bursts
• Combining strongly lensed and unlensed fast radio bursts: To be a more precise late-universe probe
• Time Delay Anomalies of Fuzzy Gravitational Lenses
• Precision Joint Constraints on Cosmology and Gravity Using Strongly Lensed Gravitational Wave Populations