Strongly gravitational lensed SNe Ia as multi-messengers: Direct test of the Friedmann-Lema\^{\i}tre-Robertson-Walker metric
2018
We present a new idea of testing the validity of the Friedmann-Lema\^{\i}tre-Robertson-Walker metric, through the multiple measurements of galactic-scale strong gravitational lensing systems with type Ia supernova acting as background sources. Each individual lensing system will provides a model-independent measurement of the geometrical optics of the universe along the line of sight the SNe Ia located, which is independent of the matter content of the universe and the applicability of the Einstein equation. This will provide us the valuable possibility of directly measuring the FRW metric on cosmological scales. Moreover, our results show that LSST would produce robust constraints on the spacial curvature comparable to Planck 2014 results, with 500 strongly lensed SNe Ia observed in the future.
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