Further empirical evidence for the non-linearity of the period-luminosity relations as seen in the Large Magellanic Cloud Cepheids

Abstract

(abridged) Recent studies, using OGLE data for LMC Cepheids in the optical, strongly suggest that the period-luminosity (PL) relation for the Large Magellanic Cloud (LMC) Cepheids shows a break or non-linearity at a period of 10 days. In this paper we apply statistical tests, the chi-square test and the F-test, to the Cepheid data from the MACHO project to test for a non-linearity of the V- and R-band PL relations at 10 days, and extend these tests to the near infrared (JHK-band) PL relations with 2MASS data. We correct the extinction for these data by applying an extinction map towards the LMC. The statistical test we use, the F-test, is able to take account of small numbers of data points and the nature of that data on either side of the period cut at 10 days. With our data, the results we obtained imply that the VRJH-band PL relations are non-linear around a period of 10 days, while the K-band PL relation is (marginally) consistent with a single-line regression. The choice of a period of 10 days, around which this non-linearity occurs, is consistent with the results obtained when this "break" period is estimated from the data. Long period Cepheids are supplemented from the literature to increase our sample size. The photometry of these long period Cepheids is compared with our data and no trend with period is found. Our main results remain unchanged when we supplement our dataset with these long period Cepheids. By examining our data at maximum light, we also suggest arguments why errors in reddening are unlikely to be responsible for our results. The non-linearity of the mean V-band PL relation as seen in both of the OGLE and MACHO data, using different extinction maps, suggests that this non-linearity is real.

arXiv comment18 pages, 10 tables, 7 figures. MNRAS accepted

References in corpus (27)

• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• The MACHO Project: Microlensing Results from 5.7 Years of LMC Observations
• The Magellanic Clouds Photometric Survey: The Large Magellanic Cloud Stellar Catalog and Extinction Map
• The Magellanic Clouds Photometric Survey: The Small Magellanic Cloud Stellar Catalog and Extinction Map
• The Cepheid Distance to NGC 5236 (M 83) with the VLT
• Cepheid Calibrations from the Hubble Space Telescope of the Luminosity of Two Recent Type Ia Supernovae and a Re-determination of the Hubble Constant
• Cepheid Period-Radius and Period-Luminosity Relations and the Distance to the LMC
• Intermediate-mass star models with different helium and metal contents
• The Cepheid Distance to NGC 1637: A Direct Test of the EPM Distance to SN 1999em
• New Period-Luminosity and Period-Color Relations of Classical Cepheids: II. Cepheids in LMC
• Theoretical Models for Classical Cepheids: II. Period-Luminosity, Period-Color and Period-Luminosity-Color Relations
• Direct Distances to Cepheids in the Large Magellanic Cloud: Evidence for a Universal Slope of the Period-Luminosity Relation up to Solar Abundance
• Cepheid Calibration of the Peak Brightness of SNe Ia. XI. SN 1998aq in NGC 3982
• The extra-galactic Cepheid distance scale from LMC and Galactic period-luminosity relations
• Period-color and amplitude-color relations in classical Cepheid variables
• Cepheids and Long Period Variables in NGC 4395
• The Linearity of the Wesenheit function for the Large Magellanic Cloud Cepheids
• The MACHO Project Large Magellanic Cloud Variable Star Inventory. VIII. The Recent Star Formation History of the LMC from the Cepheid Period Distribution
• Reconstructing Cepheid Light Curve with Fourier Techniques I: The Fourier Expansion and Interrelations
• Cepheid Mass-Luminosity Relations from the Magellanic Clouds
• Period - magnitude relationships in BVIJHK-Bands for fundamental mode and first overtone Cepheids
• GAIA and the Extragalactic Distance Scale
• Cleaning sky survey databases using Hough Transform and Renewal String approaches
• Cepheid models based on self-consistent stellar evolution and pulsation calculations: the right answer?
• Theoretical Models for Classical Cepheids: IV. Mean Magnitudes and Colors and the Evaluation of Distance, Reddening and Metallicity
• Period-colour and amplitude-colour relations in classical Cepheid variables II: the Galactic Cepheid model
• On the use of Principal Component Analysis in analysing Cepheid light curves

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