The white dwarf luminosity function

Abstract

White dwarfs are the final remnants of low- and intermediate-mass stars. Their evolution is essentially a cooling process that lasts for $\sim 10$ Gyr. Their observed properties provide information about the history of the Galaxy, its dark matter content and a host of other interesting astrophysical problems. Examples of these include an independent determination of the past history of the local star formation rate, identification of the objects responsible for the reported microlensing events, constraints on the rate of change of the gravitational constant, and upper limits to the mass of weakly interacting massive particles. To carry on these tasks the essential observational tools are the luminosity and mass functions of white dwarfs, whereas the theoretical tools are the evolutionary sequences of white dwarf progenitors, and the corresponding white dwarf cooling sequences. In particular, the observed white dwarf luminosity function is the key manifestation of the white dwarf cooling theory, although other relevant ingredients are needed to compare theory and observations. In this review we summarize the recent attempts to empirically determine the white dwarf luminosity function for the different Galactic populations. We also discuss the biases that may affect its interpretation. Finally, we elaborate on the theoretical ingredients needed to model the white dwarf luminosity function, paying special attention to the remaining uncertainties, and we comment on some applications of the white dwarf cooling theory. Astrophysical problems for which white dwarf stars may provide useful leverage in the near future are also discussed.

Accepted for publication in New Astronomy Reviews, 3 August 2016

References in corpus (144)

• On the variation of the Initial Mass Function
• Evolutionary tracks and isochrones for low- and intermediate-mass stars: from 0.15 to 7 M_sun, and from Z=0.0004 to 0.03
• The Eleventh and Twelfth Data Releases of the Sloan Digital Sky Survey: Final Data from SDSS-III
• The Initial Mass Function of Stars: Evidence for Uniformity in Variable Systems
• A large stellar evolution database for population synthesis studies. I. Scaled solar models and isochrones
• GAIA: Composition, Formation and Evolution of the Galaxy
• The MACHO Project: Microlensing Results from 5.7 Years of LMC Observations
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• The MACHO Project LMC Microlensing Results from the First Two Years and the Nature of the Galactic Dark Halo
• 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
• Evolution of asymptotic giant branch stars I. Updated synthetic TP-AGB models and their basic calibration
• Photometric and Spectroscopic Analysis of Cool White Dwarfs with Trigonometric Parallax Measurements
• The Initial-Final Mass Relation: Direct Constraints at the Low Mass End
• New white dwarf stars in the Sloan Digital Sky Survey Data Release 10
• New cooling sequences for old white dwarfs
• Improved Astrometry and Photometry for the Luyten Catalog. II. Faint Stars and the Revised Catalog
• The formation and evolution of hydrogen-deficient post-AGB white dwarfs: the emerging chemical profile and the expectations for the PG1159-DB-DQ evolutionary connection
• The initial-final mass relationship of white dwarfs revisited: effect on the luminosity function and mass distribution
• A white dwarf cooling age of 8 Gyr for NGC 6791 from physical separation processes
• Direct Detection of Galactic Halo Dark Matter
• Know Your Neighborhood: A Detailed Model Atmosphere Analysis of Nearby White Dwarfs
• Low Luminosity Companions to White Dwarfs
• Parameterising the third dredge-up in asymptotic giant branch stars
• First Observation of Parallax in a Gravitational Microlensing Event
• The cooling of CO white dwarfs: influence of the internal chemical distribution
• Probing The Lower Mass Limit for Supernova Progenitors and the High-Mass End of the Initial-Final Mass Relation from White Dwarfs in the Open Cluster M35 (NGC 2168)
• The White Dwarf Luminosity Function from SDSS Imaging Data
• Detection of a red supergiant progenitor star of a type II-plateau supernova
• The White Dwarf Cooling Sequence of NGC6397
• Axions and the cooling of white dwarf stars
• Cooling Models for Old White Dwarfs
• Revisiting the axion bounds from the Galactic white dwarf luminosity function
• The white dwarf cooling sequence in NGC 6791
• The End of the MACHO Era: Limits on Halo Dark Matter from Stellar Halo Wide Binaries
• The Progenitor of SN 2005cs in the Whirlpool Galaxy
• Identification of the Red Supergiant Progenitor of Supernova 2005cs: Do the Progenitors of Type II-P Supernovae Have Low Mass?
• Semi-empirical white dwarf initial-final mass relationships: a thorough analysis of systematic uncertainties due to stellar evolution models
• A Determination of the Local Density of White Dwarf Stars
• Intermediate mass stars: updated models
• On The Progenitor of the Type II-Plateau Supernova 2003gd in Messier 74
• 3D kinematics of white dwarfs from the SPY project II
• The ages of very cool hydrogen-rich white dwarfs
• HST Observations of the White Dwarf Cooling Sequence of M4
• Pure hydrogen atmosphere for very cool white dwarfs
• Diffusion and the occurrence of hydrogen shell flashes in helium white dwarf stars
• Grids of white dwarf evolutionary models with masses from M= 0.1 to 1.2 Ms
• 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
• Comparison of theoretical white dwarf cooling timescales
• A Strong Test of Electro-Weak Theory using Pulsating DB White Dwarf Stars as Plasmon Neutrino Detectors
• The age and colors of massive white dwarf stars
• Gravitational Settling of 22Ne in Liquid White Dwarf Interiors
• Cooling sequences and color-magnitude diagrams for cool white dwarfs with hydrogen-atmospheres
• White dwarf evolutionary sequences for low-metallicity progenitors: The impact of third dredge-up
• The White Dwarfs within 20 Parsecs of the Sun: Kinematics and Statistics
• The Physics of crystallizing white dwarfs
• Crystallization of Carbon Oxygen Mixtures in White Dwarf Stars
• Cool White Dwarfs in the Sloan Digital Sky Survey
• Implications of White Dwarf Galactic Halos
• Discovery of high proper motion ancient white dwarfs: nearby massive compact halo objects?
• Evolution and colours of helium-core white dwarf stars: the case of low metallicity progenitors
• High-velocity white dwarfs: thick disk, not dark matter
• 3D kinematics of white dwarfs from the SPY project
• Mass-radius relations for massive white dwarf stars
• The Rich Are Different: Evidence from the RAVE Survey for Stellar Radial Migration
• The potential of the variable DA white dwarf G117-B15A as a tool for Fundamental Physics
• The ages and colours of cool helium-core white dwarf stars
• Probing the Faintest Stars in a Globular Star Cluster
• White Dwarf Cosmochronology in the Solar Neighborhood
• 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
• Axions and the pulsation periods of variable white dwarfs revisited
• Gravitational Settling of ^{22}Ne in Liquid White Dwarf Interiors--Cooling and Seismological Effects
• The Chemical Residue of a White Dwarf-Dominated Galactic Halo
• The White Dwarf Cooling Age of M67
• The Solar Neighborhood VIII: Discovery of New High Proper Motion Nearby Stars Using the SuperCOSMOS Sky Survey
• High proper motion white dwarfs and halo dark matter
• Spectroscopic Identification of Cool White Dwarfs in the Solar Neighbourhood
• White Dwarfs constrain Dark Forces
• Evolutionary calculations of phase separation in crystallizing white dwarf stars
• A Very Low-Luminosity, Very Cool, DC White Dwarf
• Faint, moving objects in the Hubble Deep Field: components of the dark halo?
• High resolution optical spectroscopy of Praesepe white dwarfs
• Calibration of White Dwarf cooling sequences: theoretical uncertainty
• Evolution of white dwarf stars with high-metallicity progenitors: the role of 22Ne diffusion
• Cooling curves and initial models for low-mass white dwarfs (<0.25 Msun) with helium core
• The halo white dwarf population
• The Star Formation History of the Solar Neighbourhood from the White Dwarf Luminosity Function
• Isochrones and Luminosity Functions for Old White Dwarfs
• An upper limit to the secular variation of the gravitational constant from white dwarf stars
• White Dwarf Sequences in Dense Star Clusters
• A new detailed examination of white dwarfs in NGC3532 and NGC2287
• The Initial-Final Mass Relation among White Dwarfs in Wide Binaries
• A Spectroscopic Analysis of White Dwarfs in the Kiso Survey
• Gaia photometry for white dwarfs
• Monte Carlo simulations of the halo white dwarf population
• The White Dwarfs within 25 Parsecs of the Sun: Kinematics and Spectroscopic Subtypes
• New phase diagrams for dense carbon-oxygen mixtures and white dwarf evolution
• Classifying Luyten Stars Using An Optical-Infrared Reduced Proper Motion Diagram
• The White Dwarf Cooling Age of the Open Cluster NGC 2420
• Constraints on the Initial-Final Mass Relation from Wide Double White Dwarfs
• A Younger Age for the Universe
• Transition of the Stellar Initial Mass Function Explored with Binary Population Synthesis
• Stellar Forensics I: Cooling Curves
• Faint blue objects on the Hubble Deep Field North & South as possible nearby old halo white dwarfs
• The Solar Neighborhood XV: Discovery of New High Proper Motion Stars with mu >= 0.4"/yr between Declinations -47 degrees and 00 degrees
• Toward a Spectroscopic Census of White Dwarfs Within 40 parsecs of the Sun
• A Survey for Faint Stars of Large Proper Motion Using Extra Poss II Plates
• An Independent Calibration of Stellar Ages: HST Observations of White Dwarfs at V=25
• Limits on the neutrino magnetic dipole moment from the luminosity function of hot white dwarfs
• Contribution of White Dwarfs to Cluster Masses
• The White Dwarf Population in NGC 1039 (M34) and the White Dwarf Initial-Final Mass Relation
• Hydrogen model atmospheres for white dwarf stars
• No nearby counterparts to the moving objects in the Hubble Deep Field
• Simulating Gaia performances on white dwarfs
• Visitors from the Halo: 11 Gyr old White Dwarfs in the Solar Neighborhood
• Neural Network identification of halo white dwarfs
• White Dwarf cooling Sequences, II: luminosity functions
• Evidence of thin helium envelopes in PG1159 stars
• DA white dwarfs from the LSS-GAC survey DR1: the preliminary luminosity and mass functions and formation rate
• An independent test of the photometric selection of white dwarf candidates using LAMOST DR3
• A Multi-Survey Approach to White Dwarf Discovery
• The white dwarf luminosity function. I. Statistical errors and alternatives
• EROS 2 proper motion survey: Constraints on the halo white dwarfs
• The white dwarf population within 40 pc of the Sun
• Absolute Proper Motions to B~22.5: IV. Faint, Low Velocity White Dwarfs and the White Dwarf Population Density Law
• Quiescent nuclear burning in low-metallicity white dwarfs
• Discovery of an Ultracool White Dwarf Companion
• The evolution of white dwarfs with a varying gravitational constant
• Faint Blue Objects in the Hubble Deep Field South Revealed: White Dwarfs, Subdwarfs, and Quasars
• Evolution of iron core white dwarfs
• The mass and luminosity functions and the formation rate of DA white dwarfs in the Sloan Digital Sky Survey
• The white dwarf cooling sequence of NGC 6791: a unique tool for stellar evolution
• The Spectral Evolution of Convective Mixing White Dwarfs, the non-DA Gap, and White Dwarf Cosmochronology
• A population synthesis study of the luminosity function of hot white dwarfs
• The contribution of red dwarfs and white dwarfs to the halo dark matter
• The effects of metallicity on the Galactic disk population of white dwarfs
• The contribution of Oxygen-Neon white dwarfs to the MACHO content of the Galactic Halo
• The Luminosity Function of Magnitude and Proper-Motion Selected Samples. The case of White-Dwarfs
• The white dwarf luminosity function --II. The effect of the measurement errors and other biases
• White dwarfs with hydrogen-deficient atmospheres and the dark matter content of the Galaxy
• White dwarfs in the Capodimonte deep field

Cited by in corpus (38)

• Pulsating white dwarfs: new insights
• A White Dwarf catalogue from Gaia-DR2 and the Virtual Observatory
• A multi-messenger study of the Milky Way's stellar disc and bulge with LISA, Gaia and LSST
• Spectral classification of the 100 pc white dwarf population from Gaia-DR3 and the Virtual Observatory
• Stellar limits on scalars from electron-nucleus bremsstrahlung
• Evolutionary sequences for hydrogen-deficient white dwarfs
• Toward Precision Cosmochronology: A New C/O Phase Diagram for White Dwarfs
• The Fifth Catalogue of Nearby Stars (CNS5)
• Axions and the luminosity function of white dwarfs. The thin and thick disks, and the halo
• A Deep Proper Motion Catalog Within the Sloan Digital Sky Survey Footprint. II. The White Dwarf Luminosity Function
• The Gaia DR2 halo white dwarf population: the luminosity function, mass distribution and its star formation history
• The kinematics of the white dwarf population from the SDSS DR12
• White dwarfs as Physics laboratories: lights and shadows
• A population synthesis fitting of the $Gaia$ resolved white dwarf binary population within 100 pc
• The evolution of white dwarfs resulting from helium-enhanced, low-metallicity progenitor stars
• Local stellar formation history from the 40 pc white dwarf sample
• The evolution of ultra-massive carbon oxygen white dwarfs
• A hidden population of white dwarfs with atmospheric carbon traces in the Gaia bifurcation
• Structure and evolution of ultra-massive white dwarfs in general relativity
• The effects of ${}^{22}$Ne sedimentation and metallicity on the local 40 pc white dwarf luminosity function
• Rotation at the Fully Convective Boundary: Insights from Wide WD + MS Binary Systems
• A spectroscopic search for White Dwarf companions to 101 nearby M dwarfs
• Random Forest classification of Gaia DR3 white dwarf-main sequence spectra: a feasibility study
• Evidence of Spectral Evolution on the white dwarf sample from the Gaia Mission
• The composition of massive white dwarfs and their dependence on the C-burning modeling
• Properties and Asteroseismological analysis of a new ZZ ceti discovered by TMTS
• A population synthesis study of the Gaia 100 pc unresolved white dwarf-main sequence binary population
• Gaia DR2 white dwarfs in the Hercules stream
• Testing the mass-radius relation of white dwarfs in common proper motion pairs I.Hydrogen-dominated atmospheres
• White Dwarf Stars
• The population of single and binary white dwarfs of the Galactic bulge
• White Dwarfs as Advanced Physics Laboratories. The Axion case
• Revisiting astrophysical bounds on continuous spontaneous localization models
• White Dwarf Stars in the Big Data Era
• The effects of unresolved double-degenerates in the white dwarf luminosity function
• Double white dwarf binary population in MOCCA star clusters -- Comparisons with observations of close and wide binaries
• Exploring faint white dwarfs and the luminosity function with Subaru HSC and SDSS in Stripe 82
• Inferring properties of the local white dwarf population in astrometric and photometric surveys