Treating instabilities in a hyperbolic formulation of Einstein's equations

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 58, Issue 4, 1998, Pages 440201-4402012

  Scheel, Mark A ^a   Baumgarte, Thomas W ^b   Cook, Gregory B ^a   Shapiro, Stuart L ^b   Teukolsky, Saul A ^a,c  

^a Cornell University ^*  (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c Department of Population Medicine and Diagnostic Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542446455     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.58.044020     Document Type: Article

References (28)

1. E. Seidel and W.-M. Suen, Phys. Rev. Lett. 69, 1845 (1992).
2. P. Anninos et al., Phys. Rev. D 51, 5562 (1995).
3. M. A. Scheel, S. L. Shapiro, and S. A. Teukolsky, Phys. Rev. D 51, 4208 (1995).
4. M. A. Scheel, S. L. Shapiro, and S. A. Teukolsky, Phys. Rev. D 51, 4236 (1995).
5. C. Bona, J. Massó, and J. Stela, Phys. Rev. D 51, 1639 (1995).
6. R. L. Marsa and M. W. Choptuik, Phys. Rev. D 54, 4929 (1996).
7. M. A. Scheel et al., Phys. Rev. D 56, 6320 (1997).
8. G. B. Cook et al., Phys. Rev. Lett. 80, 2512 (1998).
9. R. Gomez et al., Phys. Rev. Lett. 80, 3915 (1998).
10. 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.
11. S. Frittelli and O. Reula, Commun. Math. Phys. 166, 221 (1994).
12. Y. Choquet-Bruhat and J. W. York, Jr., C. R. Acad. Sci., Ser. I: Math. A321, 1089 (1995).
13. A. Abrahams, A. Anderson, Y. Choquet-Bruhat, and J. W. York, Jr., Phys. Rev. Lett. 75, 3377 (1995).
14. C. Bona, J. Massó, E. Seidel, and J. Stela, Phys. Rev. Lett. 75, 600 (1995).
15. M. H. P. M. van Putten and D. M. Eardley, Phys. Rev. D 53, 3056 (1996).
16. S. Frittelli and O. A. Reula, Phys. Rev. Lett. 76, 4667 (1996).
17. H. Friedrich, Class. Quantum Grav. 13, 1451 (1996).
18. F. B. Estabrook, R. S. Robinson, and H. D. Wahlquist, Class. Quantum Grav. 14, 1237 (1997).
19. A. Anderson, Y. Choquet-Bruhat, and J. W. York, Jr., Topol. Methods Nonlinear Anal. (to be published), gr-qc/9710041.
20. M. Alcubierre, Phys. Rev. D 55, 5981 (1997).
21. M. Alcubierre and J. Massó, Phys. Rev. D 157, 4511 (1998).
22. S. Frittelli, Phys. Rev. D 55, 5992 (1997).
23. C. Gundlach and J. Pullin, Class. Quantum Grav. 14, 991 (1997).
24. L. M. Burko and A. Ori, Phys. Rev. D 56, 7820 (1997).
25. L. L. Smarr and J. W. York, Jr., Phys. Rev. D 17, 2529 (1978).
26. C. Bona and J. Massó, Phys. Rev. D 38, 2419 (1988).
27. C. Bona and J. Massó, Phys. Rev. D 40, 1022 (1989).
28. G. B. Cook and M. A. Scheel, Phys. Rev. D 56, 4775 (1997).