  The most accurate theoretical method to describe excitons is the solution of
the Bethe-Salpeter equation in the GW approximation (GW-BSE). However, because
of its computation cost, time-dependent density functional theory (TDDFT) is
becoming the alternative approach to GW-BSE to describe excitons in solids.
Nowadays, the most efficient strategy to describe optical spectra of solids in
TDDFT is to use long-range corrected exchange-correlation kernels on top of GW
or scissor-corrected energies. In recent years, a different strategy based on
range-separated hybrid functionals started to be developed in the framework of
time-dependent generalised Kohn-Sham density functional theory (TDGKSDFT).
Here, we compare the performance of long-range corrected kernels with
range-separated hybrid functionals for the description of excitons in solids.
This comparison has the purpose to weight the pros and cons of using
range-separated hybrid functionals, giving new perspectives for theoretical
developments of these functionals. We illustrate the comparison for the case of
Si and LiF, representative of solid state excitons.
