Cepheids flux weighted gravity-luminosity

The luminosities are taken from the literature, based on the fitting of the spectral energy distributions (SEDs) assuming a certain distance and reddening. The flux-weighted gravity (FWG) is taken from gravity and effective temperature determinations in the literature based on high-resolution spectroscopy.

There is a very good agreement between the theoretically predicted and observed FWG versus pulsation period relation that could serve in estimating the FWG (and logg) in spectroscopic studies with a precision of 0.1dex. As was known in the literature, the theoretically predicted FWGLR relation for CCs is very tight and not very sensitive to metallicity (at least for LMC and Solar values), rotation rate and crossing of the instability strip.