Symmetric hyperbolicity and consistent boundary conditions for second-order Einstein equations

Physical Review D

Volumn 70, Issue 4 B, 2004, Pages

  Gundlach, Carsten ^a   Martín García, José M ^b  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b INSTITUTO DE MATEMÁTICAS Y FÍSICA FUNDAMENTAL   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY; ENERGY CONSERVATION; FORCE; MATHEMATICAL ANALYSIS; VELOCITY;

EID: 42749106781     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.044032     Document Type: Article

References (31)

1. R.M. Wald, General Relativity (University of Chicago Press, Chicago, 1984);
2. O. Brodbeck, S. Frittelli, P. Huebner, and O. Reula, J. Math. Phys. 40, 909 (1999).
3. M. Tiglio, "Dynamical control of the constraints growth in free evolutions of Einstein's equations," gr-qc/0304062.
4. G. Nagy, O.E. Ortiz, and O.A. Reula, Phys. Rev. D (to be published), gr-qc/0402123.
5. G. Calabrese et al., Phys. Rev. D 66, 041501 (2002).
6. B. Gustafsson, H-O. Kreiss, and J. Oliger, Time-Dependent Problems and Difference Methods (Wiley, New York, 1995).
7. S. Frittelli and O.A. Reula, Phys. Rev. Lett. 76, 4667 (1996).
8. A. Anderson and Y.W York, Jr., Phys. Rev. Lett. 82, 4384 (1999).
9. L.E. Kidder, M.A. Scheel, and S.A. Teukolsky, Phys. Rev. D 64, 064017 (2001).
10. O.A. Reula, Living Rev. Relativ. 1, 3 (1998).
11. H. Friedrich and G. Nagy, Commun. Math. Phys. 201, 619 (1999).
12. G. Calabrese et al., Commun. Math. Phys. 240, 377 (2003).
13. B. Szilagyi, B. Schmidt, and J. Winicour, Phys. Rev. D 65, 064015 (2002); 68, 041501 (2003).
14. M.S. Iriondo and O.A. Reula, Phys. Rev. D 65, 044024 (2002).
15. M.A. Scheel et al., Phys. Rev. D 66, 124005 (2002).
16. C. Gundlach and J.M. Martín-Garcí, Phys. Rev. D 70, 044031 (2004).
17. M. Shibata and T. Nakamura, Phys. Rev. D 52, 5428 (1995).
18. T. Baumgarte and S.L. Shapiro, Phys. Rev. D 59, 024007 (1999).
19. M. Alcubierre et al., Phys. Rev. D 62, 124011 (2000).
20. M. Shibata and K. Uryu, Prog. Theor. Phys. 107, 265 (2002).
21. M. Alcubierre et al., Phys. Rev. D 64, 061501 (2001).
22. U. Sperhake et al., Phys. Rev. D 69, 024012 (2004).
23. O. Sarbach, G. Calabrese, J. Pullin, and M. Tiglio, Phys. Rev. D 66, 064002 (2002).
24. J.W. York, Jr., in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979).
25. H-J. Yo, T.W. Baumgarte, and S.L. Shapiro, Phys. Rev. D 66, 084026 (2002).
26. P. Laguna and D. Shoemaker, Class. Quantum Grav. 19, 3679 (2002).
27. C. Bona et al., Phys. Rev. Lett. 75, 600 (1995).
28. G. Calabrese and O. Sarbach, J. Math. Phys. 44, 3888 (2003).
29. J.M. Stewart, Class. Quantum Grav. 15, 2865 (1998).
30. G. Calabrese, L. Lehner, and M. Tiglio, Phys. Rev. D 65, 104031 (2002).
31. S. Frittelli and R. Gomez, Phys. Rev. D 69, 124020 (2004); 68, 044014 (2003).