Baumgarte Thomas W, Shapiro Stuart L
Department of Physics and Astronomy, Bowdoin College, Brunswick, Maine 04011, USA.
Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.
Phys Rev D. 2021 Apr 15;103(8). doi: 10.1103/physrevd.103.l081303. Epub 2021 Apr 22.
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 Γ ≥ 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 ≲ ≲ 10 to the dark-matter content of the Universe.
我们在广义相对论中探究了在其中心存在一个内寄生的、可能是原初的黑洞的中子星的存活时间。对应于我们之前针对刚性核态方程（EOS）所发现的绝热流的最小稳态邦迪吸积率，我们解析地推导出了整个恒星将被黑洞吞噬之前的最大存活时间。我们还表明，对于多方态方程(\Gamma \geq 5/3)，这个最大存活时间仅微弱地依赖于其刚性，所以这个存活时间假定了一个几乎仅依赖于初始黑洞质量的普适值。确定这样一个值对于限制质量范围在(10^{22} \lesssim M \lesssim 10^{24})的原初黑洞对宇宙暗物质含量的贡献很重要。
