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Peer-reviewedCC BY 4.0The Astrophysical Journal

Accretion of Primordial Black Holes in Stellar Interiors

5 affiliations
  1. 1Flatiron Institute
  2. 2Princeton University
  3. 3Massachusetts Institute of Technology
  4. 4New York University
  5. 5Stanford University

Abstract

We study spherical accretion onto primordial black holes (PBHs) embedded in the core of a solar-type star. We compute the radiative efficiency self-consistently for the first time across more than 6 decades in black hole mass (10 −16.5 –10 ⁻¹⁰ M ⊙ ) with time-dependent simulations, and follow the growth up to 10 ⁻² M ⊙ using an analytical photon-trapping prescription above 5 × 10 ⁻¹³ M ⊙ . Near the Schwarzschild radius ( r S ∼ 10 ⁻¹¹ cm for a 10 ⁻¹⁶ M ⊙ PBH), gas compressed to T ∼ 10 ¹¹ K radiates through microphysical processes that fundamentally alter the classical adiabatic Bondi solution. We solve the time-dependent spherical Euler equations with an implicit cooling source term, determining M ̇ , the Bondi-normalized radiative efficiency η = L / ( M ̇ B c 2 ) , and the flow structure self-consistently. We identify three regimes for spherical accretion: a hot Bondi regime ( M BH ≲ 10 ⁻¹⁴ M ⊙ ) in which bremsstrahlung cooling is dynamically negligible; a bremsstrahlung-cooling regime (10 ⁻¹⁴ –5 × 10 ⁻¹³ M ⊙ ) driving the flow toward isothermal with η ≈ 10 ⁻² ; and a photon-trapping regime above 5 × 10 ⁻¹³ M ⊙ , in which the Bondi sphere is optically thick and the accretion rate remains close to the Bondi value. Cooling enhances M ̇ by a factor of ∼1.5–7, keeping growth superexponential throughout the spherical regime. The radiative efficiency is an order of magnitude lower than previously assumed, and the critical initial PBH mass required to consume a solar-mass star within a Hubble time is M 0,crit ∼ 10 ⁻¹⁶ M ⊙ .

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BibTeX
@article{cantiello2026accretion,
  title = {{Accretion of Primordial Black Holes in Stellar Interiors}},
  author = {Matteo Cantiello and Ore Gottlieb and Cameron Norton and Matthew Kleban and Ken Van Tilburg},
  journal = {The Astrophysical Journal},
  year = {2026},
  month = oct,
  doi = {10.3847/1538-4357/aea0d2},
  url = {https://iopscience.iop.org/article/10.3847/1538-4357/aea0d2},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Accretion of Primordial Black Holes in Stellar Interiors
AU  - Matteo Cantiello
AU  - Ore Gottlieb
AU  - Cameron Norton
AU  - Matthew Kleban
AU  - Ken Van Tilburg
PY  - 2026
DA  - 2026/10/15
JO  - The Astrophysical Journal
DO  - 10.3847/1538-4357/aea0d2
UR  - https://iopscience.iop.org/article/10.3847/1538-4357/aea0d2
AB  - We study spherical accretion onto primordial black holes (PBHs) embedded in the core of a solar-type star. We compute the radiative efficiency self-consistently for the first time across more than 6 decades in black hole mass (10 −16.5 –10 ⁻¹⁰ M ⊙ ) with time-dependent simulations, and follow the growth up to 10 ⁻² M ⊙ using an analytical photon-trapping prescription above 5 × 10 ⁻¹³ M ⊙ . Near the Schwarzschild radius ( r S ∼ 10 ⁻¹¹ cm for a 10 ⁻¹⁶ M ⊙ PBH), gas compressed to T ∼ 10 ¹¹ K radiates through microphysical processes that fundamentally alter the classical adiabatic Bondi solution. We solve the time-dependent spherical Euler equations with an implicit cooling source term, determining M ̇ , the Bondi-normalized radiative efficiency η = L / ( M ̇ B c 2 ) , and the flow structure self-consistently. We identify three regimes for spherical accretion: a hot Bondi regime ( M BH ≲ 10 ⁻¹⁴ M ⊙ ) in which bremsstrahlung cooling is dynamically negligible; a bremsstrahlung-cooling regime (10 ⁻¹⁴ –5 × 10 ⁻¹³ M ⊙ ) driving the flow toward isothermal with η ≈ 10 ⁻² ; and a photon-trapping regime above 5 × 10 ⁻¹³ M ⊙ , in which the Bondi sphere is optically thick and the accretion rate remains close to the Bondi value. Cooling enhances M ̇ by a factor of ∼1.5–7, keeping growth superexponential throughout the spherical regime. The radiative efficiency is an order of magnitude lower than previously assumed, and the critical initial PBH mass required to consume a solar-mass star within a Hubble time is M 0,crit ∼ 10 ⁻¹⁶ M ⊙ .
SN  - 0004-637X
SN  - 1538-4357
ER  -