The initial-final mass relationship of white dwarfs revisited: effect on the luminosity function and mass distribution

Abstract

The initial-final mass relationship connects the mass of a white dwarf with the mass of its progenitor in the main-sequence. Although this function is of fundamental importance to several fields in modern astrophysics, it is not well constrained either from the theoretical or the observational points of view. In this work we revise the present semi-empirical initial-final mass relationship by re-evaluating the available data. The distribution obtained from grouping all our results presents a considerable dispersion, which is larger than the uncertainties. We have carried out a weighted least-squares linear fit of these data and a careful analysis to give some clues on the dependence of this relationship on some parameters such as metallicity or rotation. The semi-empirical initial-final mass relationship arising from our study covers the range of initial masses from 1.0 to 6.5 M_sun, including in this way the low-mass domain, poorly studied until recently. Finally, we have also performed a test of the initial-final mass relationship by studying its effect on the luminosity function and on the mass distribution of white dwarfs. This was done by using different initial-final mass relationships from the literature, including the expression derived in this work, and comparing the results obtained with the observational data from the Palomar Green Survey and the Sloan Digital Sky Survey (SDSS). We find that the semi-empirical initial-final mass relationship derived here gives results in good agreement with the observational data, especially in the case of the white dwarf mass distribution.

16 pages, 10 figures, accepted for publication in MNRAS

References in corpus (32)

• Comprehensive analytic formulae for stellar evolution as a function of mass and metallicity
• Theoretical isochrones in several photometric systems I. Johnson-Cousins-Glass, HST/WFPC2, HST/NICMOS, Washington, and ESO Imaging Survey filter sets
• The Formation Rate, Mass and Luminosity Functions of DA White Dwarfs from the Palomar Green Survey
• Chemical yields from low- and intermediate-mass stars: model predictions and basic observational constraints
• Some Revised Observational Constraints on the Formation and Evolution of the Galactic Disk
• White Dwarf Mass Distribution in the SDSS
• The Initial-Final Mass Relation: Direct Constraints at the Low Mass End
• On the Galactic Disk Metallicity Distribution from Open Clusters I. New Catalogues and Abundance Gradient
• Spectropolarimetric Survey of Hydrogen-rich White Dwarf Stars
• Intermediate mass stars: updated models
• The ages of very cool hydrogen-rich white dwarfs
• Stellar Evolution in NGC 6791: Mass Loss on the Red Giant Branch and the Formation of Low Mass White Dwarfs
• The open cluster initial-final mass relationship and the high-mass tail of the white dwarf distribution
• New Praesepe white dwarfs and the initial mass-final mass relation
• A Survey for Cool White Dwarfs and the age of the Galactic Disc
• The age and colors of massive white dwarf stars
• The Future is Now: the Formation of Single Low Mass White Dwarfs in the Solar Neighborhood
• Discovery of kilogauss magnetic fields in three DA white dwarfs
• Hard X-ray emitting Active Galactic Nuclei selected by the Chandra Multi-wavelength Project
• Evolution and colours of helium-core white dwarf stars: the case of low metallicity progenitors
• The CFHT Open Star Cluster Survey. III. The White Dwarf Cooling Age of the Rich Open Star Cluster NGC 2099 (M37)
• White Dwarf Luminosity and Mass Functions from Sloan Digital Sky Survey Spectra
• The initial-final mass relationship from white dwarfs in common proper motion pairs
• Differential rotation in rapidly rotating F-stars
• Calibration of White Dwarf cooling sequences: theoretical uncertainty
• The fraction of DA white dwarfs with kilo-Gauss magnetic fields
• An empirical initial-final mass relation from hot, massive white dwarfs in NGC 2168 (M35)
• The Age and Progenitor Mass of Sirius B
• The halo white dwarf population
• Spectral Types and Masses of White Dwarfs in Globular Clusters
• From Young and Hot to Old and Cold: Comparing White Dwarf Cooling Theory to Main Sequence Stellar Evolution in Open Clusters
• Praesepe and the seven white dwarfs

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