A theoretical framework of BL Her stars. I. Effect of metallicity and convection parameters on period-luminosity and period-radius relations

Abstract

We present a new grid of convective BL Herculis models using the state-of-the-art 1D non-linear radial stellar pulsation tool MESA-RSP. We investigate the impact of metallicity and four sets of different convection parameters on multi-wavelength properties. Non-linear models were computed for periods typical for BL Her stars, i.e. $1\le \mathrm{P}(\mathrm{days})\le 4$ covering a wide range of input parameters - metallicity ($-2.0\mathrm{dex}\le [Fe/H]\le 0.0\mathrm{dex}$), stellar mass (0.5M${}_{\odot }$-0.8M${}_{\odot }$), luminosity (50L${}_{\odot }$-300L${}_{\odot }$) and effective temperature (full extent of the instability strip; in steps of 50K). The total number of BL Her models with full-amplitude stable pulsations used in this study is 10280 across the four sets of convection parameters. We obtain their multiband ($UBVRIJHKL{L}^{\prime }M$) light curves and derive new theoretical period-luminosity ($PL$), period-Wesenheit ($PW$) and period-radius ($PR$) relations at mean light. We find that the models computed with radiative cooling show statistically similar slopes for $PL$, $PW$ and $PR$ relations. Most empirical relations match well with the theoretical $PL$, $PW$ and $PR$ relations from the BL Her models computed using the four sets of convection parameters. However, $PL$ slopes of the models with radiative cooling provide a better match to empirical relations for BL Her stars in the LMC in the $H{K}_S$ bands. For each set of convection parameters, the effect of metallicity is significant in $U$ and $B$-bands and negligible in infrared bands, which is consistent with empirical results. No significant metallicity effects are seen in the $PR$ relations.

arXiv comment15 pages, 5 figures. Accepted for publication in MNRAS

References in corpus (54)

• The chemical composition of the Sun
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Modules for Experiments in Stellar Astrophysics (MESA)
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• Modules for Experiments in Stellar Astrophysics (MESA): Convective Boundaries, Element Diffusion, and Massive Star Explosions
• Modules for Experiments in Stellar Astrophysics (MESA): Pulsating Variable Stars, Rotation, Convective Boundaries, and Energy Conservation
• Low Temperature Opacities
• A standard stellar library for evolutionary synthesis: II. The M dwarf extension
• Variable Stars in Galactic Globular Clusters
• Model Atmospheres for M (Sub)Dwarfs: I. The base model grid
• The VMC Survey - I. Strategy and First Data
• The RR Lyrae Period-Luminosity Relation. I. Theoretical Calibration
• On a new theoretical framework for RR Lyrae stars I: the metallicity dependence
• Quantitative Spectroscopy of 24 A supergiants in the Sculptor galaxy NGC 300: Flux weighted gravity luminosity relationship, metallicity and metallicity gradient
• A pulsational approach to near infrared and visual magnitudes of RR Lyrae stars
• The distance to the Galactic Centre based on Population-II Cepheids and RR Lyrae stars
• Large Magellanic Cloud Near-Infrared Synoptic Survey. I. Cepheid variables and the calibration of the Leavitt Law
• The period-luminosity relation for type II Cepheids in globular clusters
• Old-Aged Stellar Population Distance Indicators
• On the distance of the Magellanic Clouds using Cepheid NIR and optical-NIR Period Wesenheit Relations
• Gaia Data Release 1 - The Cepheid & RR Lyrae star pipeline and its application to the south ecliptic pole region
• Light curve analysis of Variable stars using Fourier decomposition and Principal component analysis
• The VMC Survey. XIII. Type II Cepheids in the Large Magellanic Cloud
• On a new theoretical framework for RR Lyrae stars II: Mid--Infrared Period--Luminosity--Metallicity Relations
• Establishing binarity amongst Galactic RV Tauri stars with a disc
• Large Magellanic Cloud Near-Infrared Synoptic Survey. II. The Wesenheit relations and their application to the Distance scale
• Period-luminosity relations of type II Cepheids in the Magellanic Clouds
• Large Magellanic Cloud Near-Infrared Synoptic Survey. IV. Leavitt Laws for Type II Cepheid Variables
• Discovery of period doubling in BL Herculis stars of the OGLE survey. Observations and theoretical models
• Period-Luminosity Relations for Type II Cepheids and their Application
• On the Variation of Fourier Parameters for Galactic and LMC Cepheids at Optical, Near-Infrared and Mid-Infrared Wavelengths
• The period-luminosity and period-radius relations of Type II and anomalous Cepheids
• High-precision distance measurements with classical pulsating stars
• Survey of non-linear hydrodynamic models of type-II Cepheids
• Synthetic properties of bright metal-poor variables. II. BL Her stars
• Multiwavelength Characteristics of Period-Luminosity Relations
• The OGLE Collection of Variable Stars. Classical, Type II, and Anomalous Cepheids toward the Galactic Center
• Galactic Bulge Population II Cepheids in the VVV Survey: Period-Luminosity Relations and a Distance to the Galactic Center
• IAU 2015 Resolution B2 on Recommended Zero Points for the Absolute and Apparent Bolometric Magnitude Scales
• On the period distribution of cluster RR Lyrae stars to constrain their helium content: the case of omega Centauri
• Structure and kinematics of Type II Cepheids in the Galactic bulge based on near-infrared VVV data
• The OGLE Collection of Variable Stars. Type II Cepheids in the Magellanic System
• On the separation between RR Lyrae and Type II Cepheids and their importance for distance determination: the case of $\omega$ Cen
• Period doubling and Blazhko modulation in BL Herculis hydrodynamic models
• The evolutionary nature of RV Tauri stars in the SMC and LMC
• Luminosities and infrared excess in Type II and anomalous Cepheids in the Large and Small Magellanic Clouds
• Updated pulsation models for BL Herculis stars
• On the variation of light curve parameters of RR Lyrae variables at multiple wavelengths
• The stellar photosphere-hydrogen ionization front interaction in Classical Pulsators: a theoretical explanation for observed period-colour relations
• Near-infrared Census of RR Lyrae variables in the Messier 3 globular cluster and the Period--Luminosity Relations
• Chaos in hydrodynamic BL Herculis models
• Updated 24 $\mu \mathrm{m}$ Period-Luminosity Relation Derived from Galactic Cepheids
• Kinematics of Type II Cepheids of the Galactic Halo

Cited by in corpus (10)

• An absolute calibration of the near-infrared Period-Luminosity Relations of Type II Cepheids in the Milky Way and in the Large Magellanic Cloud
• Zwicky Transient Facility and Globular Clusters: The Period-Luminosity and Period-Wesenheit Relations for Type II Cepheids
• Temperature dependent convective parameters for RRc 1D-models
• A multiphase study of theoretical and observed light curves of classical Cepheids in the Magellanic Clouds
• A theoretical framework for BL Her stars III. A case study: Robust light curve optimisation in the LMC
• Type II and anomalous Cepheids in the Kepler K2 mission
• The light curve model fitting of LMC Cepheids: MESA-RSP versus Stellingwerf's code predictions
• The model fitting of Gaia DR3 Classical Cepheid light and radial velocity curves
• Period-Luminosity Relations for Galactic Type II Cepheids in the Sloan bands
• A theoretical framework for BL Her stars IV. New period-luminosity relations in the Rubin-LSST filters