Possible measurement of Quintessence and density parameter using strong gravitational lensing events

TL;DR

This paper suggests that strong gravitational lensing events can be used to measure the time variation of vacuum energy and the density parameter, potentially providing insights into dark energy dynamics.

Contribution

It introduces a method to determine the time dependence of vacuum energy using gravitational lensing, with a specific example demonstrating feasibility.

Findings

Velocity dispersion measurement accuracy of ±5 km/sec can constrain vacuum energy evolution.

Potential to determine density parameter with about 0.1 accuracy.

Feasibility shown for using Einstein cross lens HST 14176+5226 for these measurements.

Abstract

We propose a possible measurement of the time variability of the vacuum energy using strong gravitational lensing events. As an example we take an Einstein cross lens HST 14176+5226 and demonstrate that the measurement of the velocity dispersion with the accuracy of $\pm$ 5 km/sec will have a chance to determine the time dependence of the vacuum energy as well as the density parameter with the accuracy of order 0.1 if one fixes the lens model.