Conformal hyperbolic formulation of the Einstein equations

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 60, Issue 6, 1999, Pages

  Alcubierre, Miguel ^a   Brügmann, Bernd ^a   Miller, Mark ^a   Suen, Wai Mo ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18044376213     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.064017     Document Type: Article

References (35)

1. For the Binary Black Hole Grand Challenge, see www.npac.syr.edu/projects/bh/.
2. For the NASA Neutron Star Grand Challenge Project, see, e.g., http://wugrav.wustl.edu/Relativ/nsgc.html.
3. H. Friedrich, Proc. R. Soc. London A375, 169 (1981).
4. H. Friedrich, Proc. R. Soc. London A378, 401 (1981).
5. Y. Choquet-Bruhat and T. Ruggeri, Commun. Math. Phys. 89, 269 (1983).
6. H. Friedrich, Commun. Math. Phys. 100, 525 (1985).
7. C. Bona and J. Massó, Phys. Rev. Lett. 68, 1097 (1992).
8. C. Bona, J. Massó, E. Seidel, and J. Stela, Phys. Rev. Lett. 75, 600 (1995).
9. Y. Choquet-Bruhat and J. York, C. R. Acad. Sci., Paris IIb: Mec., Phys., Chim., Astron. 321, 1089 (1995).
10. S. Frittelli and O. Reula, Phys. Rev. Lett. 76, 4667 (1996).
11. A. Abrahams, A. Anderson, Y. Choquet-Bruhat, and J. York, Phys. Rev. Lett. 75, 3377 (1995).
12. H. Friedrich, Class. Quantum Grav. 13, 1451 (1996).
13. M. H. van Putten and D. Eardley, Phys. Rev. D 53, 3056 (1996).
14. A. Abrahams, A. Anderson, Y. Choquet-Bruhat, and J. York, C.R. Acad. Sci., Ser. IIb: Mec., Phys., Chim. Astron. 323, 835 (1996).
15. C. Bona, J. Massó, E. Seidel, and J. Stela, Phys. Rev. D 56, 3405 (1997).
16. A. Abrahams, A. Anderson, Y. Choquet-Bruhat, and J. York, Class. Quant. Grav. 14, A9 (1997).
17. C. Bona, J. Massó, E. Seidel, and P. Walker, gr-qc/9804052 (1998).
18. A. Anderson and J. York, Phys. Rev. Lett. 82, 4384 (1999).
19. O. Reula, Living Reviews in Relativity, http://www.livingreviews.org/Articles/Volume 1/1998-3reula/index.html (1998).
20. M. Scheel, Phys. Rev. D 56, 6320 (1997).
21. M. A. Scheel, Phys. Rev. D 58, 044020 (1998).
22. P. Hübner, Ph.D. thesis, Ludwig Maximilians Universität München, 1993.
23. P. Hübner, Phys. Rev. D 53, 701 (1996).
24. P. Húbner, gr-qc/9804065 (1998).
25. J. Frauendiener, Phys. Rev. D 58, 064002 (1998).
26. J. Frauendiener, Phys. Rev. D 58, 064003 (1998).
27. R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962), pp. 227–265.
28. M. Shibata and T. Nakamura, Phys. Rev. D 52, 5428 (1995).
29. T. Baumgarte and S. Shapiro, Phys. Rev. D 59, 024007 (1999).
30. M. Alcubierre and et al. (unpublished).
31. J. Balakrishna, Class. Quantum Grav. 13, L135 (1996).
32. M. Alcubierre and et al. (unpublished).
33. A. Arbona, C. Bona, J. Massó, and J. Stela, gr-qc/9902053 (1999).
34. B. Gustafsson, H.-O. Kreiss, and J. Oliger, Time Dependent Problems and Difference Methods (Wiley, New York, 1995).
35. L. Andersson and V. Moncrief (in preparation).