Redshift drift and strong gravitational lensing

In general, the cosmological redshift of an object changes with time, a phenomenon known as redshift drift. Although long known theoretically, recently interest has been renewed because of the possibility of measuring it on a reasonable time-scale. Strong gravitational lensing offers a possibility to measure it on a much shorter time-scale, by making use of a time delay of n years rather than making observations separated by n years, but, perhaps at least in part because of the expectation that the signal would be swamped by a larger change in redshift due to transverse motion of the lens, that has not attracted much interest. I present a method to extract the small signal, making use of the fact that the light-travel time through different parts of an Einstein ring is the same (and hence the difference in redshift due to redshift drift vanishes), thus enabling the measurement of redshift drift on a much shorter time-scale, and show how that can help in the measurement of the distribution of (dark) matter.

Automated summary

The cosmological redshift drift is a phenomenon that changes with time and has recently regained interest due to the possibility of measuring it on a reasonable time-scale. Strong gravitational lensing offers a potential way to measure it on a much shorter time-scale by utilizing a time delay. This article presents a method to extract the small signal and demonstrates how it can contribute to measuring the distribution of (dark) matter.