천문학회지 (Journal of The Korean Astronomical Society)

  • 제45권4호
  • /
  • Pages.101-110
  • /
  • 2012
  • /
  • 1225-4614(pISSN)
  • /
  • 2288-890X(eISSN)
한국천문학회 (The Korean Astronomical Society)
권호 표지
DOI QR코드

DOI QR Code

GENERAL RELATIVISTIC RADIATION HYDRODYNAMICS: FREQUENCY-INTEGRATED RADIATION MOMENT FORMALISM

  • Park, Myeong-Gu (Department of Astronomy and Atmospheric Sciences, Kyungpook National University)
  • 투고 : 2012.08.06
  • 심사 : 2012.08.07
  • 발행 : 2012.08.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

I present here one approach to general relativistic radiation hydrodynamics. It is based on covariant tensor conservation equations and considers only the frequency-integrated total energy and momentum exchange between matter and the radiation field. It is also a mixed-frame formalism in the sense that, the interaction between radiation and matter is described with quantities in the comoving frame in which the interaction is often symmetric in angle while the radiation energy and momentum equations are expressed in the fixed frame quantities in which the derivatives are simpler. Hence, this approach is intuitive enough to be applied straightforwardly to any spacetime or coordinate. A few examples are provided along with caveats in this formalism.

키워드

참고문헌

  1. Auer, L. H., & Mihalas, D. 1970, On The Use of Variable Eddington Factors in Non-Lte Stellar Atmospheres Computations, MNRAS, 149, 65 https://doi.org/10.1093/mnras/149.1.65
  2. Bardeen, J. M., Press, W. H., & Teukolsky, S. A. 1972, Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation, ApJ, 178, 347 https://doi.org/10.1086/151796
  3. han, C.-K. 2011, A Class of PhysicallyMotivated Closures for Radiation Hydrodynamics, ApJ, 727, 67 https://doi.org/10.1088/0004-637X/727/2/67
  4. Dullemond, C. P. 1999, Relativistic Moment Equations In Media With Strong Velocity Gradients, A&AS, 343, 1030
  5. Fukue, J. 2008a, Relativistic Variable Eddington Factor, PASJ, 60, 377 https://doi.org/10.1093/pasj/60.2.377
  6. Fukue, J. 2008b, Variable Eddington Factor in a Relativistic Plane-Parallel Flow, PASJ, 60, 1209 https://doi.org/10.1093/pasj/60.5.1209
  7. Fukue, J. 2009, Relativistic Variable Eddington Factor in a Relativistic Plane-Parallel Flow, PASJ, 61, 367 https://doi.org/10.1093/pasj/61.2.367
  8. Hummer, D. G., & Rybicki, G. B. 1971, Radiative Transfer In Spherically Symmetric Systems. The Conservative Grey Case, MNRAS, 152, 1 https://doi.org/10.1093/mnras/152.1.1
  9. Lindquist, R. W. 1966, Relativistic Transport Theory, Ann. Phys., 37, 487 https://doi.org/10.1016/0003-4916(66)90207-7
  10. Mihalas, D., & Mihalas, B. W. 1984, Foundations of Radiation Hydrodynamics (Oxford: Oxford Univ. Press)
  11. Minerbo, G. N. 1978, Maximum Entropy Eddington Factors, J. Quant. Spectosc. Radiat. Transfer, 20, 541 https://doi.org/10.1016/0022-4073(78)90024-9
  12. Munier, A., & Weaver, R. 1986, Radiation Transfer in the Fluid Frame: A Covariant Formulation, Comp. Phys. Rep., 3, 127 https://doi.org/10.1016/0167-7977(86)90007-9
  13. Park, M.-G. 1990, Self-Consistent Models Of Spherical Accretion Onto Black Holes. I - One-Temperature Solutions, ApJ, 354, 64 https://doi.org/10.1086/168668
  14. Park, M.-G. 1992, General Relativistic Spherical Ac- cretion onto Neutron Star, JKPS, 25, 294
  15. Park, M.-G. 1993, Relativistic Theory Of Radia- tive Transfer: Time-Dependent Radiation Moment Equations, A&AS274, 642
  16. Park, M.-G. 2006a, Equations Of General Relativistic Radiation Hydrodynamics From A Tensor Formalism, MNRAS, 367, 1739 https://doi.org/10.1111/j.1365-2966.2006.10081.x
  17. Park, M.-G. 2006b, Relativistic Radiation Hydrody- namic Equations in Cylindrical Coordinates, JKPS, 49, 736
  18. Park, M.-G. 2006c, Relativistic Radiation Hydrody- namics for Accretion, JKPS, 49, 1725
  19. Service, A. T. 1986, Fitting Formulae for the Equa- tion of State of a Perfect, Semirelativistic Boltzmann Gas, ApJ, 307, 60
  20. Takahashi, R. 2007, Equations of General Relativistic Radiation Hydrodynamics in Kerr Space-Time, MNRAS, 382, 1041 https://doi.org/10.1111/j.1365-2966.2007.12030.x
  21. Takahashi, R. 2008, Radiation Hydrodynamics in Kerr Space-Time: Equations without Coordinate Singularity at the Event Horizon, MNRAS, 383, 1155
  22. Tamazawa, S., Toyama, K., Kaneko, N., & Ono, Y. 1975, Optically Thick Accretion onto Black Holes, Astrophys. Space Sci., 32, 403 https://doi.org/10.1007/BF00643153
  23. Thorne, K. S. 1981, Relativistic Radiative Transfer - Moment Formalisms, MNRAS, 194, 439 https://doi.org/10.1093/mnras/194.2.439
  24. Turolla, R., & Nobili, L. 1988, General Relativistic Radiative Transfer in Spherical Flows, MNRAS, 235, 1273 https://doi.org/10.1093/mnras/235.4.1273
  25. Yin, W.-W., & Miller, G. S. 1995, Exact and Approximate Radiative Transfer in Differentially Moving Media, ApJ, 449, 826 https://doi.org/10.1086/176101
  26. Zampieri, L., Turolla, R., & Treves, A. 1993, Dynamically Comptonized Spectra from Near-Critical Accretion onto Neutron Stars, ApJ, 19, 311