Cosmological Parameter Estimation Using Current and Future Observations
  of Strong Gravitational Lensing
  Remarkable development of cosmology is benefited from the increasingly
improved measurements of cosmic distances including absolute distances and
relative distances. In recent years, however, the emerged cosmological tensions
motivate us to explore the independent and precise late-universe probes. The
two observational effects of strong gravitational lensing (SGL), the velocity
dispersions of lens galaxies and the time delays between multiple images, can
provide measurements of relative and absolute distances respectively, and their
combination is possible to break the degeneracies between cosmological
parameters and enable tight constraints on cosmological parameters. In this
paper, we combine the observed 130 SGL systems with velocity-dispersion
measurements and 7 SGL systems with time-delay measurements to constrain
dark-energy cosmological models. It is found that the combination of the two
effects does not significantly break the degeneracies between cosmological
parameters as expected. However, with the simulations of 8000 SGL systems with
well-measured velocity dispersions and 55 SGL systems with well-measured time
delays based on the forthcoming LSST survey, we find that the combination of
two effects can significantly break the parameter degeneracies, and make the
constraint precision of cosmological parameters meet the standard of precision
cosmology. We conclude that the observations of SGL will become a useful
late-universe probe for precisely measuring cosmological parameters.
