Einstein's equations with asymptotically stable constraint propagation

Journal of Mathematical Physics

Volumn 40, Issue 2, 1999, Pages 909-923

  Brodbeck, Othmar ^a,b   Frittelli, Simonetta ^c   Hübner, Peter ^d   Reula, Oscar A ^d,e  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF ZURICH   (Switzerland)

^c DUQUESNE UNIVERSITY   (United States)

^d ALBERT EINSTEIN INSTITUT   (Germany)

^e UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033484779     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532694     Document Type: Article

References (8)

1. M. W. Choptuik, "Consistency of finite-difference solutions of Einstein's equations," Phys. Rev. D 44, 3124 (1991).
2. S. Detweiler, "Evolution of the constraint equations in general relativity," Phys. Rev. D 35, 1095 (1987).
3. S. Frittelli and O. A. Reula, "On the Newtonian limit of general relativity," Commun. Math. Phys. 166, 221 (1994).
4. S. Frittelli and O. A. Reula, "First-order symmetric hyperbolic Einstein equations for arbitrary fixed gauge," Phys. Rev. Lett. 76, 4667 (1996).
5. J. M. Stewart, "The Cauchy problem and the initial boundary value problem in numerical relativity," Class. Quantum Grav. 15, 2865 (1998).
6. G. Kreiss, H.-O. Kreiss, and J. Lorenz, "On stability of conservation laws," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal, (to be published).
7. H.-O. Kreiss and J. Lorenz, Initial-Boundary Value Problems and the Navier-Stokes Equations (Academic, Boston, 1989).
8. H.-O. Kreiss (private communication).