Threshold Mass of the General-relativistic Instability for Supermassive Star Cores

The dependence of the final fate of supermassive star (SMS) cores on their mass and angular momentum is studied with simple modeling. SMS cores in the hydrogen-burning phase encounter the general-relativistic instability during stellar evolution if the mass is larger than ∼3 × 10 ^4 M _⊙ . Spherical...

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Main Authors: Masaru Shibata, Sho Fujibayashi, Cédric Jockel, Kyohei Kawaguchi
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:The Astrophysical Journal
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Online Access:https://doi.org/10.3847/1538-4357/ad93a4
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author Masaru Shibata
Sho Fujibayashi
Cédric Jockel
Kyohei Kawaguchi
author_facet Masaru Shibata
Sho Fujibayashi
Cédric Jockel
Kyohei Kawaguchi
author_sort Masaru Shibata
collection DOAJ
description The dependence of the final fate of supermassive star (SMS) cores on their mass and angular momentum is studied with simple modeling. SMS cores in the hydrogen-burning phase encounter the general-relativistic instability during stellar evolution if the mass is larger than ∼3 × 10 ^4 M _⊙ . Spherical SMS cores in the helium-burning phase encounter the general-relativistic instability prior to the onset of the electron–positron pair instability if the mass is larger than ∼1 × 10 ^4 M _⊙ . For rapidly rotating SMS cores, these values for the threshold mass are enhanced by up to a factor of ∼5, and thus, for SMSs with mass smaller than ∼10 ^4 M _⊙ , the collapse is triggered by the pair instability, irrespective of the rotation. After the onset of the general-relativistic instability, SMS cores in the hydrogen-burning phase with reasonable metallicity are likely to collapse to a black hole irrespective of the degree of rotation, whereas SMS cores in the helium-burning phase could explode via nuclear burning with no black hole formation, as previous works demonstrate.
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spelling doaj-art-03c6915c4f184178a32f07f95e52a3742025-08-20T02:40:00ZengIOP PublishingThe Astrophysical Journal1538-43572024-01-0197815810.3847/1538-4357/ad93a4Threshold Mass of the General-relativistic Instability for Supermassive Star CoresMasaru Shibata0https://orcid.org/0000-0002-4979-5671Sho Fujibayashi1https://orcid.org/0000-0001-6467-4969Cédric Jockel2https://orcid.org/0009-0007-7617-7178Kyohei Kawaguchi3https://orcid.org/0000-0003-4443-6984Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) , Am Mühlenberg 1, D-14476 Potsdam-Golm, Germany; Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University , Kyoto, 606-8502, JapanMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) , Am Mühlenberg 1, D-14476 Potsdam-Golm, Germany; Frontier Research Institute for Interdisciplinary Sciences, Tohoku University , Sendai 980-8578, Japan; Astronomical Institute, Graduate School of Science, Tohoku University , Sendai 980-8578, JapanMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) , Am Mühlenberg 1, D-14476 Potsdam-Golm, GermanyMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) , Am Mühlenberg 1, D-14476 Potsdam-Golm, Germany; Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University , Kyoto, 606-8502, Japan; Institute for Cosmic Ray Research, The University of Tokyo , 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8582, JapanThe dependence of the final fate of supermassive star (SMS) cores on their mass and angular momentum is studied with simple modeling. SMS cores in the hydrogen-burning phase encounter the general-relativistic instability during stellar evolution if the mass is larger than ∼3 × 10 ^4 M _⊙ . Spherical SMS cores in the helium-burning phase encounter the general-relativistic instability prior to the onset of the electron–positron pair instability if the mass is larger than ∼1 × 10 ^4 M _⊙ . For rapidly rotating SMS cores, these values for the threshold mass are enhanced by up to a factor of ∼5, and thus, for SMSs with mass smaller than ∼10 ^4 M _⊙ , the collapse is triggered by the pair instability, irrespective of the rotation. After the onset of the general-relativistic instability, SMS cores in the hydrogen-burning phase with reasonable metallicity are likely to collapse to a black hole irrespective of the degree of rotation, whereas SMS cores in the helium-burning phase could explode via nuclear burning with no black hole formation, as previous works demonstrate.https://doi.org/10.3847/1538-4357/ad93a4Massive starsSupermassive black holesGravitational collapse
spellingShingle Masaru Shibata
Sho Fujibayashi
Cédric Jockel
Kyohei Kawaguchi
Threshold Mass of the General-relativistic Instability for Supermassive Star Cores
The Astrophysical Journal
Massive stars
Supermassive black holes
Gravitational collapse
title Threshold Mass of the General-relativistic Instability for Supermassive Star Cores
title_full Threshold Mass of the General-relativistic Instability for Supermassive Star Cores
title_fullStr Threshold Mass of the General-relativistic Instability for Supermassive Star Cores
title_full_unstemmed Threshold Mass of the General-relativistic Instability for Supermassive Star Cores
title_short Threshold Mass of the General-relativistic Instability for Supermassive Star Cores
title_sort threshold mass of the general relativistic instability for supermassive star cores
topic Massive stars
Supermassive black holes
Gravitational collapse
url https://doi.org/10.3847/1538-4357/ad93a4
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AT cedricjockel thresholdmassofthegeneralrelativisticinstabilityforsupermassivestarcores
AT kyoheikawaguchi thresholdmassofthegeneralrelativisticinstabilityforsupermassivestarcores