Maximum Black Hole mass across Cosmic Time

Abstract

At the end of its life, a very massive star is expected to collapse into a black hole. The recent detection of an 85 Msun black hole from the gravitational wave event GW 190521 appears to present a fundamental problem as to how such heavy black holes exist above the approximately 50 Msun pair-instability limit where stars are expected to be blown to pieces with no remnant left. Using MESA, we show that for stellar models with non-extreme assumptions, 90..100 Msun stars at reduced metallicity (Z/Zsun < 0.1) can produce blue supergiant progenitors with core masses sufficiently small to remain below the fundamental pair-instability limit, yet at the same time lose an amount of mass via stellar winds that is small enough to end up in the range of an "impossible" 85 Msun black hole. The two key points are the proper consideration of core overshooting and stellar wind physics with an improved scaling of mass loss with iron (Fe) contents characteristic for the host galaxy metallicity. Our modelling provides a robust scenario that not only doubles the maximum black hole mass set by pair instability, but also allows us to probe the maximum stellar black hole mass as a function of metallicity and Cosmic time in a physically sound framework.

arXiv commentMNRAS Accepted. 9 pages, 3 figures. Prior Submission in September 2020 to Nature (see Research Square)

References in corpus (76)

• 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
• MESA Isochrones and Stellar Tracks (MIST). I: Solar-Scaled Models
• 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
• Mass-loss predictions for O and B stars as a function of metallicity
• Grids of stellar models with rotation - I. Models from 0.8 to 120 Msun at solar metallicity (Z = 0.014)
• Presupernova Evolution of Rotating Massive Stars I: Numerical Method and Evolution of the Internal Stellar Structure
• Rotating Massive Main-Sequence Stars I: Grids of Evolutionary Models and Isochrones
• Astrophysical Implications of the Binary Black-Hole Merger GW150914
• Black Hole Formation in Failing Core-Collapse Supernovae
• Pulsational Pair-Instability Supernovae
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• On The Maximum Mass of Stellar Black Holes
• The R136 star cluster hosts several stars whose individual masses greatly exceed the accepted 150 Msun stellar mass limit
• Nucleosynthesis of Zinc and Iron-Peak Elements in Pop III Type II Supernovae : Comparison with abundances of Very Metal-Poor Halo Stars
• The VLT-FLAMES Tarantula Survey VIII. Multiplicity properties of the O-type star population
• Pair-Instability Supernovae, Gravity Waves, and Gamma-Ray Transients
• On the metallicity dependence of Wolf-Rayet winds
• A two-parameter criterion for classifying the explodability of massive stars by the neutrino-driven mechanism
• Mind the gap: The location of the lower edge of the pair instability supernovae black hole mass gap
• The Mass of the Black Hole in Cygnus X-1
• GW190521: orbital eccentricity and signatures of dynamical formation in a binary black hole merger signal
• The Overarching Framework of Core-Collapse Supernova Explosions as Revealed by 3D Fornax Simulations
• Pair Instability Supernovae: Light Curves, Spectra, and Shock Breakout
• Fallback and Black Hole Production in Massive Stars
• Evolution and fate of very massive stars
• The VLT-FLAMES Tarantula Survey XII. Rotational velocities of the single O-type stars
• Pulsational pair-instability supernovae in very close binaries
• A wide star-black-hole binary system from radial-velocity measurements
• Wind modelling of very massive stars up to 300 solar masses
• The Explosion of Helium Stars Evolved With Mass Loss
• Stellar envelope inflation near the Eddington limit. Implications for the radii of Wolf-Rayet stars and luminous blue variables
• Effects of Rotation on the Minimum Mass of Primordial Progenitors of Pair Instability Supernovae
• The evolution of rotating very massive stars with LMC composition
• On the nature of massive helium star winds and Wolf-Rayet-type mass loss
• Pair creation supernovae at low and high redshift
• Long Gamma-Ray Transients from Collapsars
• The Detectability of Pair-Production Supernovae at z < 6
• Impact of the Rotation and Compactness of Progenitors on the Mass of Black Holes
• The porous atmosphere of eta Carinae
• Minding the gap: GW190521 as a straddling binary
• Aspherical Properties of Hydrodynamics and Nucleosynthesis in Jet-induced Supernovae
• On the Origin of GW190521-like events from repeated black hole mergers in star clusters
• Magnetic massive stars as progenitors of "heavy" stellar-mass black holes
• Mass Ejection in Failed Supernovae: Variation with Stellar Progenitor
• The nature of B supergiants: clues from a steep drop in rotation rates at 22000 K. The possibility of Bi-stability braking
• Pulsational Pair-instability Supernovae. I. Pre-collapse Evolution and Pulsational Mass Ejection
• The most ordinary formation of the most unusual double black hole merger
• Is GW190521 the merger of black holes from the first stellar generations?
• Three Dimensional Radiation Hydrodynamic Simulations of Massive Star Envelopes
• Numerical Study on GRB-Jet Formation in Collapsars
• The transition mass-loss rate: Calibrating the role of line-driven winds in massive star evolution
• Population III Binary Black Holes: Effects of Convective Overshooting on Formation of GW190521
• Fast evolving pair-instability supernova models: evolution, explosion, light curves
• Explaining the most energetic supernovae with an inefficient jet-feedback mechanism
• Not so fast: LB-1 is unlikely to contain a 70 $M_{\odot }$ black hole
• The Birth Function for Black Holes and Neutron Stars in Close Binaries
• No signature of the orbital motion of a putative 70 solar mass black hole in LB-1
• Driving classical Wolf-Rayet winds: A Γ- and Z-dependent mass-loss
• Massive star evolution : rotation, winds, and overshooting vectors in the Mass-Luminosity plane I. A calibrated grid of rotating single star models
• Two bi-stability jumps in theoretical wind models for massive stars and the implications for Luminous Blue Variable supernovae
• Pair Instability Supernovae of Very Massive Population III Stars
• The Stellar Merger Scenario for Black Holes in the Pair-instability Gap
• Very Massive Stars: a metallicity-dependent upper-mass limit, slow winds, and the self-enrichment of Globular Clusters
• The Formation of a 70 Msun Black Hole at High Metallicity
• Wind-envelope interaction as the origin of the slow cyclic brightness variations of luminous blue variables
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• A search for strong magnetic fields in massive and very massive stars in the Magellanic Clouds
• Inferring Parameters of GW170502: The Loudest Intermediate-mass Black Hole Trigger in LIGO's O1/O2 data
• Modified Gravitation Theory (MOG) and the aLIGO GW190521 Gravitational Wave Event

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