The effect of metallicity on the Leavitt Law using phase-dependent properties of classical Cepheids

TL;DR

This study investigates how metallicity influences the period-luminosity relations of classical Cepheids across different pulsation phases, revealing phase-dependent variations that impact distance measurements and cosmological parameters.

Contribution

It introduces a multiphase analysis of Cepheid light curves to quantify metallicity effects on PL relations, highlighting phase-dependent variations and differences between short and long-period Cepheids.

Findings

Metallicity coefficients vary with pulsation phase.

Significant differences in metallicity effects between short and long-period Cepheids.

Results align with recent literature, improving understanding of metallicity impact.

Abstract

The absolute calibration of period-luminosity (PL) relations of Cepheids in the Milky Way (MW) and its nearby galaxies has been a cornerstone in determining extragalactic distances and the current local expansion rate of the Universe. However, the universality of PL relations is still debated; particularly, the metallicity effect on the Cepheid PL relation. Due to the HIF-stellar photosphere interactions in Cepheids, different period-color (PC) relations at different phases can influence the corresponding PL relations at those phases.We have considered the PL relations at multiple pulsation phases as they capture the ensemble radiation hydrodynamic properties at those phases. We investigate the effect of metallicity on PL relations based on multiphase analysis of classical Cepheid light curves in the MW, Large Magellanic Cloud (LMC) and Small Magellanic Cloud (SMC). Multiphase metallicity coefficients $(\gamma)$ are derived in five different photometric bands ($V$, $I$, $G$, $G_{\rm BP}$, $G_{\rm RP}$) and two Wesenheit indices ($W_{VI}$, $W_{G}$). We show that the coefficients of multiphase period-luminosity-metallicity (PLZ) relations vary dynamically as functions of Cepheid pulsation phases over a complete pulsation cycle. We find significant differences in the $\gamma_{\lambda}$ values between the short- $(0.4 \leq \log{P} < 1)$ and long-period $(1 \leq \log{P} < 2)$ Cepheids at multiple phases, in two bands, $G_{\rm RP}$ and $W_{G}$. The weighted averages of the multiphase $\gamma_{\lambda}$ values are found to be in good agreement with the latest results published in the literature. Our methods and results provide new insights into the metallicity effect on the Leavitt law, which can be useful in constraining pulsation models. Additionally, this study shows that the metallicity effect on mean-light PL relations can be recovered from its phase-dependent nature found in this study.