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Volumn 60, Issue 8, 1999, Pages

Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity

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Indexed keywords


EID: 17144413043     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.084002     Document Type: Article
Times cited : (425)

References (23)
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    • MACHO Collaboration, C. Alcock, Astrophys. J. 471, 774 (1996).
    • (1996) Astrophys. J. , vol.471 , pp. 774
    • Alcock, C.1
  • 7
    • 85037188124 scopus 로고    scopus 로고
    • For example, R. Kippenhahn and A. Weigert, Stellar Structure and Evolution (Springer, Berlin, 1990)
    • For example, R. Kippenhahn and A. Weigert, Stellar Structure and Evolution (Springer, Berlin, 1990).
  • 21
    • 0003599383 scopus 로고
    • We thank K. Nakao for giving us a paper in which Kodama’s result is concisely described
    • H. Kodama, Prog. Theor. Phys. 63, 1217 (1980):We thank K. Nakao for giving us a paper in which Kodama’s result is concisely described.
    • (1980) Prog. Theor. Phys. , vol.63 , pp. 1217
    • Kodama, H.1
  • 22
    • 85037181444 scopus 로고    scopus 로고
    • particular, for 3D simulation in which the grid number we can take is restricted, the minimum distortion gauge may not be appropriate for a black hole formation problem, because the coordinate spreads outward (i.e., (Formula presented) when a matter is collapsing (i.e., (Formula presented) and hence it is soon difficult to keep the numerical accuracy around the collapsing matter. In the case of 3D simulation, it will be necessary to choose the spatial gauge condition more carefully
    • In particular, for 3D simulation in which the grid number we can take is restricted, the minimum distortion gauge may not be appropriate for a black hole formation problem, because the coordinate spreads outward (i.e., (Formula presented) when a matter is collapsing (i.e., (Formula presented) and hence it is soon difficult to keep the numerical accuracy around the collapsing matter. In the case of 3D simulation, it will be necessary to choose the spatial gauge condition more carefully.


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