Towards stable evolution of excised black hole spacetimes via the ADM equations: A spherically symmetric test

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 4, 2000, Pages 1-11

  Lehner, Luis ^a   Huq, Mijan ^b   Anderson, Matt ^a   Bonning, Erin ^a   Schaefer, Doug ^a   Matzner, Richard ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044386060     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.044037     Document Type: Article

References (31)

1. C. Misner, K. S. Thorne, and J. Wheeler, Gravitation (Freeman, San Francisco, 1973).
2. H. Friedrich, Proc. R. Soc. London A375, 169 (1981); A378, 401 (1981).
3. H. Friedrich, Proc. R. Soc. London A375, 169 (1981); A378, 401 (1981).
4. O. Brodbeck, S. Frittelli, P. Huebner, and O. Reula, J. Math. Phys. 40, 909 (1999).
5. S. Frittelli and O. Reula, Phys. Rev. Lett. 76, 4667 (1996).
6. A. Anderson and J. York, Phys. Rev. Lett. 82, 4384 (1999).
7. S. Frittelli and O. Reula, J. Math. Phys. 40, 5143 (1999).
8. C. Bona, J. Masso, E. Seidel, and J. Stela, Phys. Rev. D 56, 3405 (1997).
9. M. Shibata and T. Nakamura, Phys. Rev. D 52, 5428 (1995).
10. T. Baumgarte and S. Shapiro, Phys. Rev. D 59, 024007 (1999).
11. M. Alcubierre, B. Brügmann, M. Miller, and W. M. Suen, Phys. Rev. D 60, 064017 (1999).
12. M. Scheel and G. Cook, in Proceedings of the "Miniprogram of Colliding Black Holes: Mathematical Issues in Numerical Relativity," Institute for Theoretical Physics, UCSB, 2000.
13. M. Alcubierre, Ref. [11], Institute for Theoretical Physics, UCSB, 2000.
14. E. Seidel and W. M. Suen, gr-qc/9210016, 1992.
15. R. Marsa and M. Choptuik, Phys. Rev. D 54, 4929 (1996).
16. M. Scheel, T. Baumgarte, G. Cook, S. Shapiro, and S. Teukolsky, Phys. Rev. D 58, 044020 (1998).
17. C. Gundlach and P. Walker, Class. Quantum Grav. 16, 991 (1999).
18. S. Hawking, in Black Holes, edited by C. De Witt and B. De Witt (Gordon & Breach, New York, 1972).
19. M. Alcubierre, G. Allen, B. Brügmann, E. Seidel, and W. M. Suen, gr-qc/9908079, 1999.
20. S. Frittelli, R. Gomez, O. Reula, and P. Huebner (private communication).
21. J. Thomburg, Class. Quantum Grav. 4, 1119 (1987).
22. M. Huq and R. Matzner (unpublished).
23. http://www.astro.psu.edu/users/nr/Agave/
24. L. Rezzolla, A. Abrahams, R. Matzner, M. Rupright, and S. Shapiro, Phys. Rev. D 59, 064001 (1999).
25. B. Gustaffson, H. Kreiss and J. Oliger, Time Dependent Problems and Difference Methods (Wiley, New York, 1995).
26. C. Gundlach and D. Garfinkle, Class. Quantum Grav. 16, 4111 (1999).
27. The Binary Black Hole Grande Challenge Alliance, Phys. Rev. Lett. 80, 2512 (1998).
28. E. T. Whitakker, A Treatise on the Analytical Dynamics of Panicles and Rigid Bodies (Cambridge University Press, Cambridge, England, 1937).
29. A. Arbona, C. Bona, J. Masso, and J. Stela, Phys. Rev. D 60, 104014 (1999).
30. L. L. Smarr and J. W. York, Phys. Rev. D 17, 2529 (1978).
31. P. R. Brady, J. D. Creighton, and K. S. Thorne, Phys. Rev. D 58, 061501 (1998).