Neutron Stars Harboring a Primordial Black Hole: Maximum Survival Time

Abstract

We explore in general relativity the survival time of neutron stars that host an endoparasitic, possibly primordial, black hole at their center. Corresponding to the minimum steady-state Bondi accretion rate for adiabatic flow that we found earlier for stiff nuclear equations of state (EOSs), we derive analytically the maximum survival time after which the entire star will be consumed by the black hole. We also show that this maximum survival time depends only weakly on the stiffness for polytropic EOSs with $\Gamma \ge 5/3$, so that this survival time assumes a nearly universal value that depends on the initial black hole mass alone. Establishing such a value is important for constraining the contribution of primordial black holes in the mass range $10^{-16}{M}_{\odot }\lesssim M\lesssim 10^{-10}{M}_{\odot }$ to the dark-matter content of the Universe.

5 pages

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• Gravitational Waves from Disks Around Spinning Black Holes: Simulations in Full General Relativity
• Primordial black holes captured by neutron stars: relativistic point-mass treatment
• Primordial black holes: constraints, potential evidence and prospects
• Accretion onto black holes inside neutron stars with piecewise-polytropic equations of state: analytic and numerical treatments
• Stability and Observability of Magnetic Primordial Black Hole-Neutron Star Collisions
• Low Mass Naked Singularities from Dark Core Collapse
• Accretion inside astrophysical objects : Effects of rotation and viscosity
• Tidal effects on primordial black hole capture in neutron stars
• Mergers as a Probe of Particle Dark Matter
• Steady critical accretion onto black holes: selfgravity and sonic point characteristics