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Prog. Theor. Phys. Vol. 127 No. 3 (2012) pp. 535-559
Radiation Magnetohydrodynamics for Black Hole-Torus System in Full General Relativity: A Step toward Physical Simulation
Masaru Shibata and
Yuichiro Sekiguchi
Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto
606-8502, Japan
(Received September 21, 2011; Revised January 16, 2012)
Abstract:
A radiation-magnetohydrodynamic simulation for the black
hole-torus system is performed in the framework of full general
relativity for the first time. A truncated moment formalism is
employed for a general relativistic neutrino radiation transport.
Several systems in which the black hole mass is M BH = 3 or
6M⊙, the black hole spin is zero, and the torus mass is
≈0.14–0.38M⊙ are evolved as models of the remnant
formed after the merger of binary neutron stars or black hole-neutron
star binaries. The equation of state and microphysics for the
high-density and high-temperature matter are phenomenologically taken
into account in a semi-quantitative manner. It is found that the temperature in
the inner region of the torus reaches \gtrsim 10 MeV which enhances a
high luminosity of neutrinos ∼1051 ergs/s for M
BH = 6M⊙ and ∼1052 ergs/s for M BH = 3M⊙.
It is shown that neutrinos are likely to be emitted primarily toward
the outward direction in the vicinity of the rotational axis and their energy
density may be high enough to launch a low-energy short gamma-ray
burst via the neutrino-antineutrino pair-annihilation process with the
total energy deposition ∼1047–1049 ergs. It is also
shown in our model that for M BH = 3M⊙, the neutrino
luminosity is larger than the electromagnetic luminosity while for
M BH = 6M⊙, the neutrino luminosity is comparable to or slightly
smaller than the electromagnetic luminosity.
Subject Index :
420, 425
URL :
http://ptp.ipap.jp/link?PTP/127/535/
DOI : 10.1143/PTP.127.535
References:
-
Z. B. Etienne, Y. T. Liu, S. L. Shapiro and T. W. Baumgarte, Phys. Rev. D 79 (2009), 044024[APS].
K. Kyutoku, M. Shibata and K. Taniguchi, Phys. Rev. D 82 (2010), 044049[APS].
S. Chawla et al., Phys. Rev. Lett. 105 (2010), 111101[APS].
F. Foucart, M. D. Duez, L. E. Kidder and S. A. Teukolsky, Phys. Rev. D 83 (2010), 024005[APS].
K. Kyutoku, M. Shibata and K. Taniguchi, Phys. Rev. D 84 (2011), 049902[APS].
-
L. Rezzolla et al., Class Quantum Grav. 27 (2010), 114105[CrossRef].
-
L. Rezzolla et al., Astrophys. J. Lett. 732 (2011), L6[IoP STACKS].
-
K. Hotokezaka, K. Kyutoku, H. Okawa, M. Shibata and K. Kiuchi, Phys. Rev. D 83 (2011), 124008[APS].
-
Y. Sekiguchi, K. Kiuchi, K. Kyutoku and M. Shibata, Phys. Rev. Lett. 107 (2011), 051102[APS];
Phys. Rev. Lett. 107 (2011), 211101[APS].
-
M. D. Duez, Class. Quantum Grav. 27 (2010), 114002[CrossRef].
M. Shibata and K. Taniguchi, Living Rev. Relativity 14 (2011), 6.
-
R. Narayan, B. Paczynski and T. Piran, Astrophys. J. Lett. 395 (1992), L83[CrossRef].
- B. Zhang and P. Mészáros, Int. J. Mod. Phys. A 19 (2004), 2385.
T. Piran, Rev. Mod. Phys. 76 (2005), 1143[APS].
E. Nakar, Phys. Rep. 442 (2007), 166[CrossRef].
- S. Setiawan, M. Ruffert and H.-Th. Janka, Mon. Not. R. Astron. Soc. 352 (2004), 753;
Astron. Astrophys. 458 (2006), 553[CrossRef].
- R. D. Blandford and R. L. Znajek, Mon. Not. R. Astron. Soc. 179 (1977), 433.
-
J. C. McKinney and C. F. Gammie, Astrophys. J. 611 (2004), 977[CrossRef].
J. C. McKinney, Astrophys. J. Lett. 630 (2005), L5[CrossRef].
- R. D. Blandford and D. G. Payne, Mon. Not. R. Astron. Soc. 199 (1982), 883.
-
D. L. Meier, Astrophys. J. 522 (1999), 753[CrossRef].
- M. Shibata, Y. Sekiguchi and R. Takahashi, Prog. Theor. Phys. 118 (2007), 257[PTP].
-
W. H. Lee, E. Ramirez-Luis and D. Page, Astrophys. J. 632 (2005), 421[CrossRef].
-
J. L. Anderson and E. A. Spiegel, Astrophys. J. 171 (1972), 127[CrossRef].
- K. S. Thorne, Mon. Not. R. Astron. Soc. 194 (1981), 439.
- M. Shibata, K. Kiuchi, Y. Sekiguchi and Y. Suwa, Prog. Theor. Phys. 125 (2011), 1255[PTP].
- E.g., D. Mihalas and B. Weibel-Mihalas, Foundations of Radiation Hydrodynamics (Dover Publications, Inc., 1999).
-
M. Shibata and T. Nakamura, Phys. Rev. D 52 (1995), 5428[APS].
T. W. Baumgarte and S. L. Shapiro, Phys. Rev. D 59 (1998), 024007[APS].
-
M. Campanelli, C. O. Lousto, P. Marronetti and Y. Zlochower, Phys. Rev. Lett. 96 (2006), 111101[APS].
J. Baker et al., Phys. Rev. Lett. 96 (2006), 111102[APS].
- M. Alcubierre, S. Brandt, B. Brügmann, D. Holz, E. Seidel, R. Takahashi and J. Thornburg, Int. J. Mod. Phys. D 10 (2001), 273.
M. Shibata, Prog. Theor. Phys. 104 (2000), 325[PTP];
Phys. Rev. D 67 (2003), 024033[APS].
-
B. Brügmann, J. A. González, M. Hannam, S. Husa, U. Sperhake and W. Tichy, Phys. Rev. D 77 (2008), 024027[APS].
- C. D. Livermore, J. Quant. Spectrosc. Radiat. Transfer 31 (1984), 149.
-
M. Shibata and Y. Sekiguchi, Phys. Rev. D 72 (2005), 044014[APS].
-
C. R. Evans and J. F. Hawley, Astrophys. J. 332 (1988), 659[CrossRef].
- Y. Sekiguchi, Prog. Theor. Phys. 124 (2010), 331[PTP].
- A. Kurganov and E. Tadmor, J. Comput. Phys. 160 (2000), 241.
-
M. Shibata, Phys. Rev. D 76 (2007), 064035[APS].
- S. L. Shapiro and S. A. Teukolsky, Black holes, White dwarfs, and Neutron stars: the Physics of Compact Objects (Wiley, 1983), chapter 14.
-
D. L. Tubbs abd D. N. Schramm, Astrophys. J. 201 (1975), 467[CrossRef].
- S. W. Bruenn, Astrophys. J. Suppl. 58 (1985), 771.
- M. Rampp, “Radiation Hydrodynamics with Neutrinos: Stellar Core Collapse and the Explosion Mechanism of Type II Supernovae”, Ph.D Thesis, Max-Planck-Institut fur Astrophysik, 2002.
-
M. D. Duez, Y. T. Liu, S. L. Shapiro, M. Shibata and B. C. Stephens, Phys. Rev. D 73 (2006), 104015[APS].
- A. M. Belborodov, AIP Conf. Proc. 1054 (2008), 51.
- H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, 1978).
-
W.-X. Chen and A. M. Belborodov, Astrophys. J 657 (2007), 383[CrossRef].
-
B. D. Farris, T. K. Li, Y. T. Liu and S. L. Shapiro, Phys. Rev. D 78 (2008), 024023[APS].
- O. Zanotti, C. Roedig, L. Rezzolla and L. Del Zanna, Mon. Not. R. Astron. Soc. 416 (2011), 2899.