Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations

Physical Review D

Volumn 64, Issue 6, 2001, Pages

  Kidder, Lawrence E ^a   Scheel, Mark A ^a   Teukolsky, Saul A ^a  

^a National Astronomy and Ionosphere Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COSMOLOGICAL PHENOMENA; ELECTROMAGNETIC FIELD; GRAVITY; INTERFEROMETRY; LASER; MATHEMATICAL MODEL;

EID: 85038272624     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.064017     Document Type: Article

References (42)

1. S. Brandt et al., Phys. Rev. Lett. 85, 5496 (2000).
2. M. Alcubierre et al., gr-qc/0012079.
3. M. Alcubierre and B. Brugmann, Phys. Rev. D 63, 104006 (2001).
4. M.A. Scheel et al., Phys. Rev. D 58, 044020 (1998).
5. T.W. Baumgarte and S.L. Shapiro, Phys. Rev. D 59, 024007 (1999).
6. M. Alcubierre et al., Phys. Rev. D 62, 124011 (2000).
7. M. Alcubierre et al., Phys. Rev. D 62, 044034 (2000).
8. S. Frittelli and O. Reula, Commun. Math. Phys. 166, 221 (1994).
9. Y. Choquet-Bruhat and J.W. York, Jr., C. R. Acad. Sci., Ser. I: Math. A321, 1089 (1995).
10. A. Abrahams, A. Anderson, Y. Choquet-Bruhat, and J.W. York, Jr., Phys. Rev. Lett. 75, 3377 (1995).
11. C. Bona, J. Massó, E. Seidel, and J. Stela, Phys. Rev. Lett. 75, 600 (1995).
12. M.H.P.M. van Putten and D.M. Eardley, Phys. Rev. D 53, 3056 (1996).
13. S. Frittelli and O.A. Reula, Phys. Rev. Lett. 76, 4667 (1996).
14. H. Friedrich, Class. Quantum Grav. 13, 1451 (1996).
15. F.B. Estabrook, R.S. Robinson, and H.D. Wahlquist, Class. Quantum Grav. 14, 1237 (1997).
16. M.S. Iriondo, E.O. Leguizamon, and O.A. Reula, Phys. Rev. Lett. 79, 4732 (1997).
17. A. Anderson, Y. Choquet-Bruhat, and J.W. York, Jr., Top. Meth. Nonlin. Anal. 10, 353 (1997).
18. M.A.G. Bonilla, Class. Quantum Grav. 15, 2001 (1998).
19. G. Yoneda and H. Shinkai, Phys. Rev. Lett. 82, 263 (1999).
20. M. Alcubierre, B. Brügmann, M. Miller, and W.-M. Suen, Phys. Rev. D 60, 064017 (1999).
21. S. Frittelli and O.A. Reula, J. Math. Phys. 40, 5143 (1999).
22. A. Anderson and J.W. York, Jr., Phys. Rev. Lett. 82, 4384 (1999).
23. H. Friedrich and A. Rendall, in Einstein's Field Equations and their Physical Implications, Lecture Notes in Physics, edited by B.G. Schmidt (Springer-Verlag, Berlin, 2000), pp. 127-223.
24. G. Yoneda and H. Shinkai, Int. J. Mod. Phys. D 9, 13 (2000).
25. H. Shinkai and G. Yoneda, Class. Quantum Grav. 17, 4799 (2000).
26. G. Yoneda and H. Shinkai, Class. Quantum Grav. 18, 441 (2001).
27. S.D. Hern, Ph.D. thesis, University of Cambridge, 1999, gr-qc/0004036.
28. 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.
29. J.W. York, Jr., in Sources of Gravitational Radiation, edited by L.L. Smarr (Cambridge University Press, Cambridge, England, 1979), pp. 83-126.
30. H.-O. Kreiss and J. Lorenz, Initial-Boundary Value Problems and the Navier-Stokes Equations (Academic Press, San Diego, 1989).
31. J.M. Stewart, Class. Quantum Grav. 15, 2865 (1998).
32. O. Brodbeck, S. Frittelli, P. Hübner, and O.A. Reula, J. Math. Phys. 40, 909 (1999).
33. L.E. Kidder, M.A. Scheel, H.P. Pfeiffer, and S.A. Teukolsky (unpublished).
34. L.E. Kidder et al., Phys. Rev. D 62, 084032 (2000).
35. C. Gundlach and P. Walker, Class. Quantum Grav. 16, 991 (1999).
36. P. Painlevé, C. R. Acad. Sci. Paris, 173, 677 (1921).
37. A. Gullstrand, Ark. Mat., Astron. Fys. 16, 1 (1922).
38. K. Martel and E. Poisson, Am. J. Phys. 69, 476 (2001).
39. R.L. Marsa and M.W. Choptuik, Phys. Rev. D 54, 4929 (1996).
40. R.A. Matzner, M.F. Huq, and D. Shoemaker, Phys. Rev. D 59, 024015 (1999).
41. C. Bona and J. Massó, Phys. Rev. D 38, 2419 (1988).
42. G.B. Cook and M.A. Scheel, Phys. Rev. D 56, 4775 (1997).