Accretion onto black holes inside neutron stars with piecewise-polytropic equations of state: Analytic and numerical treatments

  title={Accretion onto black holes inside neutron stars with piecewise-polytropic equations of state: Analytic and numerical treatments},
  author={Sophia C. Schnauck and Thomas W. Baumgarte and Stuart L. Shapiro},
  journal={Physical Review D},
We consider spherically symmetric accretion onto a small, possibly primordial, black hole residing at the center of a neutron star governed by a cold nuclear equation of state (EOS). We generalize the relativistic Bondi solution for such EOSs, approximated by piecewise polytropes, and thereby obtain analytical expressions for the steady-state matter profiles and accretion rates. We compare these rates with those found by time-dependent, general relativistic hydrodynamical simulations upon… 

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