Numerical experiments of adjusted Baumgarte-Shapiro-Shibata-Nakamura systems for controlling constraint violations

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 77, Issue 4, 2008, Pages

  Kiuchi, Kenta ^a   Shinkai, Hisa Aki ^b  

^a WASEDA UNIVERSITY   (Japan)

^b OSAKA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41049113625     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.77.044010     Document Type: Article

References (45)

1. M. Shibata, K. Taniguchi, and K. Uryu, Phys. Rev. D 68, 084020 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.68.084020
2. M. Shibata K. Taniguchi K. Uryu Phys. Rev. D 71, 084021 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.084021
3. M. Shibata and K. Taniguchi, Phys. Rev. D 73, 064027 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.064027
4. P. Marronetti and S.L. Shapiro, Phys. Rev. D 68, 104024 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.104024
5. P. Marronetti, M.D. Duez, S.L. Shapiro, and T.W. Baumgarte, Phys. Rev. Lett. 92, 141101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.141101
6. J.A. Faber, T.W. Baumgarte, S.L. Shapiro, and K. Taniguchi, Astrophys. J. 641, L93 (2006). ASJOAB 0004-637X 10.1086/504111
7. F. Pretorius, Phys. Rev. Lett. 95, 121101 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.121101
8. M. Campanelli, C.O. Lousto, P. Marronetti, and Y. Zlochower, Phys. Rev. Lett. 96, 111101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111101
9. J.G. Baker, J. Centrella, D-I. Choi, M. Koppitz, and J. van Meter, Phys. Rev. Lett. 96, 111102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111102
10. P. Diener, F. Herrmann, D. Pollney, E. Schnetter, E. Seidel, R. Takahashi, J. Thornburg, and J. Ventrella, Phys. Rev. Lett. 96, 121101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.121101
11. F. Herrmann, I. Hinder, D. Shoemaker, and P. Laguna, arXiv:gr-qc/ 0601026v2.
12. Z.B. Etienne, J.A. Faber, Y.T. Liu, S.L. Shapiro, and T.W. Baumgarte, Phys. Rev. D 76, 101503 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.101503
13. W. Tichy and P. Marronetti, Phys. Rev. D 76, 061502 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.061502
14. M. Campanelli, C.O. Lousto, Y. Zlochower, and D. Merritt, Phys. Rev. Lett. 98, 231102 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.231102
15. J.A. Gonzalez, M.D. Hannam, U. Sperhake, B. Brugmann, and S. Husa, Phys. Rev. Lett. 98, 231101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.231101
16. M. Campanelli, C.O. Lousto, Y. Zlochower, and D. Merritt, Astrophys. J. 659, L5 (2007). ASJOAB 0004-637X 10.1086/516712
17. J. Thornburg, P. Diener, D. Pollney, L. Rezzolla, E. Schnetter, E. Seidel, and R. Takahashi, Classical Quantum Gravity CQGRDG 0264-9381 24, 3911 (2007). 10.1088/0264-9381/24/15/009
18. J.A. Gonzalez, U. Sperhake, B. Bruegmann, M. Hannam, and S. Husa, Phys. Rev. Lett. 98, 091101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.091101
19. J.G. Baker, J. Centrella, D.I. Choi, M. Koppitz, and J. van Meter, Phys. Rev. D 73, 104002 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.104002
20. M. Shibata and K. Uryu, Phys. Rev. D 74, 121503 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.74.121503
21. M. Shibata K. Uryu Classical Quantum Gravity CQGRDG 0264-9381 24, S125 (2007). 10.1088/0264-9381/24/12/S09
22. T.W. Baumgarte and S.L. Shapiro, Phys. Rev. D 59, 024007 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.59.024007
23. T. Nakamura, K. Oohara, and Y. Kojima, Prog. Theor. Phys. Suppl. 90, 1 (1987); PTPSEP 0375-9687 10.1143/PTPS.90.1
24. M. Shibata and T. Nakamura, Phys. Rev. D 52, 5428 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.5428
25. T. Nakamura, K. Oohara, and Y. Kojima, Prog. Theor. Phys. Suppl. 90, 1 (1987); PTPSEP 0375-9687 10.1143/PTPS.90.1
26. T. Nakamura and K. Oohara, in Frontiers in Numerical Relativity, edited by, C.R. Evans, L.S. Finn, and, D.W. Hobill, (Cambridge Univ. Press, Cambridge, England, 1989).
27. H. Beyer and O. Sarbach, Phys. Rev. D 70, 104004 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.104004
28. C. Gundlach and J.M. Martin-Garcia, Phys. Rev. D 74, 024016 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.024016
29. H. Shinkai and G. Yoneda, arXiv:gr-qc/0209111.
30. G. Yoneda and H. Shinkai, Phys. Rev. D 66, 124003 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.124003
31. H. Shinkai and G. Yoneda, Classical Quantum Gravity CQGRDG 0264-9381 19, 1027 (2002). 10.1088/0264-9381/19/6/302
32. H-J. Yo, T.W. Baumgarte, and S.L. Shapiro, Phys. Rev. D 66, 084026 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.084026
33. M. Alcubierre, Classical Quantum Gravity CQGRDG 0264-9381 21, 589 (2004). 10.1088/0264-9381/21/2/019
34. M. Boyle, L. Lindblom, H.P. Pfeiffer, M.A. Scheel, and L.E. Kidder, Phys. Rev. D 75, 024006 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.024006
35. N. Jansen, B. Bruegmann, and W. Tichy, Phys. Rev. D 74, 084022 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.084022
36. Y. Zlochower, J.G. Baker, M. Campanelli, and C.O. Lousto, Phys. Rev. D 72, 024021 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.024021
37. M. Alcubierre, G. Allen, B. Brügmann, E. Seidel, and W.-M. Suen, Phys. Rev. D 62, 124011 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.124011
38. M. Alcubierre, Phys. Rev. D 62, 044034 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.044034
39. H.-O. Kreiss and J. Oliger, Methods for Approximate Solution of Time Dependent Problems (GARP Publication Series, Geneva, 1973).
40. B. Bruegmann, J.A. Gonzalez, M. Hannam, S. Husa, U. Sperhake, and W. Tichy, arXiv:gr-qc/0610128.
41. M.C. Babiuc (Apples With Apples Collaboration), arXiv:0709.3559.
42. S.A. Teukolsky, Phys. Rev. D 61, 087501 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.087501
43. M. Alcubierre, B. Brugmann, P. Diener, M. Koppitz, D. Pollney, E. Seidel, and R. Takahashi, Phys. Rev. D 67, 084023 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.084023
44. G. Yoneda and H. Shinkai, Classical Quantum Gravity CQGRDG 0264-9381 18, 441 (2001). 10.1088/0264-9381/18/3/307
45. M. Babiuc, B. Szilagyi, and J. Winicour, in Nalytical and Numerical Approaches to Mathematical Relativity, edited by, J. Frauendiener, D. Giulini, and, V. Perlick, (Springer, Heidelberg, 2006).