g µν g µν G µν = 8πG c 4 T µν (1) G µν T µν G c µ ν 0 3 (1) T µν T µν (1) G µν g µν 2 (1) g µν 1 1 描

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1 419 特集 宇宙における新しい流体力学 - ブラックホールと SASI- SASI Study of SASI in Black Hole Accretion Flows by Employing General Relativistic Compressive Hydrodynamics Hiroki NAGAKURA, Yukawa Institute for Theoretical Physics, Kyoto University, Advanced Research Institute for Science & Engineering, Waseda University 1 20 SASI SASI Standing Accretion Shock Instability SASI 1 SASI 2 SASI SASI 1)

2 g µν g µν G µν = 8πG c 4 T µν (1) G µν T µν G c µ ν 0 3 (1) T µν T µν (1) G µν g µν 2 (1) g µν 1 1 描

3 (ρ 0 u µ ) ;µ = 0, (2) (T µν ) ;ν = 0, (3) ρ 0 u µ 4 3 ρ 0 u µ 3 ; g µν g µν 1 T µν = 0 3 ρ 0 n m ρ 0 = mn 2

4 422 2) g µν T µν T µν = ρ 0 hu µ u ν + pg µν (4) h p T µν T µν Evolutionary Condtion Evolutionary Condition Evolutionary Condition Evolutionary Condition (Magneto-hydrodynamics, MHD) Evolutionary Condition 3)

5 423 Evolutionary Condition Godonov scheme Evolutionary Condition Godnov scheme Godnov scheme Central Scheme Godnov scheme Central scheme Central Scheme 9)

6 C ± = v ± c s C +, C, v, c s g/cm X-Y 8

7 SASI 2 5, 6)

8 ) SASI SASI= SASI SASI SASI 7 SASI SASI SASI SASI 5 Spiral Arm Spiral Arm 9 9

9 427 5 SASI SASI

10 428 7 SASI VAC SASI SASI SASI 7, 8) SASI SASI SASI SASI Vortical-Acoustic Cycle (VAC) 7 VAC 10, 11) VAC SASI WKB

11 429 2 Papaloizou-Pringle Instability VAC VAC VAC WKB WKB VAC VAC 12) VAC SASI 8 SASI SASI SASI SASI SASI 5 Spiral Arm 2 SASI SASI SASI 13) SASI SASI SASI 1) : Black Hole SASI,, 103, 109, (2010) 2) :, (2007) 3) Inoue, T. and Inutsuka, S.: Evolutionary Conditions in Dissipative MHD Systems Revisited, Progress of Theoretical Physics, Vol. 118, No. 1, pp (2007) 4) Kurganov, A. and Tadmor, E.: New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations, Journal of Computational Physics, Volume 160, Issue 1, pp (2000) 5) Nobuta, H. and Hanawa, T.: Instability of accretion flow with a shock wave, Publications of the Astronomical Society of Japan, vol. 46, no. 3, p (1994) 6) Nakayama, K.: Dynamical Instability of Standing Shock Waves in Adiabatic Accretion Flows and Wind Flows, Monthly Notices of the Royal Astronomical Society, Vol. 270, NO. 4/OCT15, P. 871, (1994)

12 430 7) Nagakura, H. and Yamada, S. : General Relativistic Hydrodynamic Simulations and Linear Analysis of the Standing Accretion Shock Instability around a Black Hole, The Astrophysical Journal, Volume 689, Issue 1, pp (2008) 8) Nagakura, H. and Yamada, S. : The Standing Accretion Shock Instability in the Disk Around the Kerr Black Hole, The Astrophysical Journal, Volume 696, Issue 2, pp (2009) 9) Nagakura, H., Yamamoto, Y., and Yamada, S. : Semidynamical approach to the shock revival in corecollapse supernovae, arxiv: ) Foglizzo, T. : Non-radial instabilities of isothermal Bondi accretion with a shock: Vortical-acoustic cycle vs. post-shock acceleration, Astronomy and Astrophysics, v.392, p (2002) 11) Gu, W. and Foglizzo, T. : Non-axisymmetric instabilities in shocked accretion flows with differential rotation, Astronomy and Astrophysics, v.409, p.1-7 (2003) 12) Blondin, J M. and Mezzacappa, A. : The Spherical Accretion Shock Instability in the Linear Regime, The Astrophysical Journal, Volume 642, Issue 1, pp ) Nagakura, H., Takahashi, R. : Direct Time Radio Variability Induced by Non-Axisymmetric Standing Accretion Shock Instability: Implications for M87, The Astrophysical Journal, Volume 711, Issue 1, pp (2010)

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