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. Author manuscript; available in PMC: 2021 Sep 28.
Published in final edited form as: Phys Rev D. 2018 Nov 12;98(10):103008. doi: 10.1103/physrevd.98.103008

TABLE IV.

Comparison of black hole and disk parameters from cases in Table III (bold) with the semianalytic and numeric results in previous studies for critical collapse at mass-shedding different EOS (characteristic mass) and magnetic fields. Here “H”, “I”, and “E + I” represent no magnetic field, interior magnetic field, and exterior plus interior magnetic field, respectively.

MBH/M aBH/MBH Mdisk/M
n(M) H I E + I H I E + I H I E + I
3.00 0.89a 0.95b 0.94 0.60 0.70 0.68 11.0% 6.0% 7.0%
(≳106M) 0.87c 0.95d 0.71 0.68 13.0% 6.0%
0.90e 0.92 0.75 0.64 10.0% 6.0%
0.90f 0.70 7.0%
0.91 0.75 9.0%
2.95 0.97a 0.96 0.52 0.58 2.9% 3.0%
(~105M)
2.90 0.99a 0.99 0.99 0.45 0.53 0.52 1.1% 1.1% 1.5%
(~104M) 0.99g 0.53 1.4%
0.99 0.53 1.4%
a

Table 2 in [38], fully analytic.

b

GRMHD simulation by [26] (model S1).

c

Table 2 in [38], analytic, using critical configuration in [18].

d

GRMHD simulation by [26] (model S2).

e

GR hydrodynamic simulation by [24].

f

GR hydrodynamic simulation by [26] (model S0).

g

Table 2 in [63] by setting Rp/Re ≈ 2/3.