Simulating the dynamics of relativistic stars via a light-cone approach

Physical Review D

Volumn 65, Issue 6, 2002, Pages

  Siebel, Florian ^a   Font, José A ^a,b   Müller, Ewald ^a   Papadopoulos, Philippos ^c  

^a MAX PLANCK INSTITUT FÜR ASTROPHYSIK   (Germany)

^b UNIVERSITY OF VALENCIA   (Spain)

^c UNIVERSITY OF PORTSMOUTH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTATION; ALGORITHM; ARTICLE; ASTRONOMY; COSMOS; DYNAMICS; GAMMA RADIATION; NEUTRON; SIMULATION;

EID: 0037087890     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.65.064038     Document Type: Article

References (45)

1. C.R. Evans, in Dynamical Spacetimes and Numerical Relativity, edited by J.M. Centrella (Cambridge University Press, Cambridge, England, 1986).
2. R.F. Stark and T. Piran, Phys. Rev. Lett. 55, 891 (1985).
3. R.A. Isaacson, J.S. Welling, and J. Winicour, J. Math. Phys. 24, 1824 (1983).
4. R. Gómez, J. Winicour, and R. Isaacson, J. Comput. Phys. 98, 11 (1992).
5. R. Gómez, P. Papadopoulos, and J. Winicour, J. Math. Phys. 35, 4184 (1994).
6. P. Papadopoulos, Phys. Rev. D (to be published), gr-qc/0104024.
7. R. Gómez, L. Lehner, P. Papadopoulos, and J. Winicour, Class. Quantum Grav. 14, 977 (1997).
8. N. Bishop, R. Gómez, L. Lehner, M. Maharaj, and J. Winicour, Phys. Rev. D 56, 6298 (1997).
9. R. Bartnik and A.H. Norton, SIAM J. Sci. Comput. (USA) 22, 917 (2000).
10. P. Papadopoulos and J.A. Font, Phys. Rev. D 61, 024015 (2000).
11. J.A. Font, Living Rev. Relativ. 3, 2 (2000).
12. P. Papadopoulos and J.A. Font, Phys. Rev. D 63, 044016 (2001).
13. F. Linke, J.A. Font, H.T. Janka, E. Müller, and P. Papadopoulos, Astron. Astrophys. 376, 568 (2001).
14. F. Siebel, J.A. Font, and P. Papadopoulos, Phys. Rev. D 65, 024021 (2002).
15. N. Bishop, R. Gómez, L. Lehner, M. Maharaj, and J. Winicour, Phys. Rev. D 60, 024005 (1999).
16. H. Bondi, M.G.J. van der Burg, and A.W.K. Metzner, Proc. R. Soc. London, Ser. A 269, 21 (1962).
17. R.K. Sachs, Proc. R. Soc. London, Ser. A 270, 103 (1962).
18. L.A. Tamburino and J.H. Winicour, Phys. Rev. 150, 1039 (1966).
19. R. Penrose, Phys. Rev. Lett. 10, 66 (1963).
20. R. Gómez et al., Phys. Rev. Lett. 80, 3915 (1998).
21. J. Winicour, Living Rev. Relativ. 4, 3 (2001).
22. J.A. Font, N. Stergioulas, and K.D. Kokkotas, Mon. Not. R. Astron. Soc. 313, 678 (2000).
23. J.A. Font, H. Dimmelmeier, A. Gupta, and N. Stergioulas, Mon. Not. R. Astron. Soc. 325, 1463 (2001).
24. M. Shibata, T.W. Baumgarte, and S.L. Shapiro, Phys. Rev. D 61, 044012 (2000).
25. M. Shibata, T.W. Baumgarte, and S.L. Shapiro, Astrophys. J. 542, 453 (2000).
26. N. Stergioulas and J.A. Font, Phys. Rev. Lett. 86, 1148 (2001).
27. P. Papadopoulos, Ph.D. thesis, University of Pittsburgh, 1993.
28. P. Papadopoulos and J.A. Font, gr-qc/9912094.
29. R. Gómez and J. Winicour, Phys. Rev. D 45, 2776 (1992).
30. R.A. Isaacson, J.S. Welling, and J. Winicour, Phys. Rev. Lett. 53, 1870 (1984).
31. R. Gómez, P. Reilly, J. Winicour, and R. Isaacson, Phys. Rev. 047, 3292 (1993).
32. B. van Leer, J. Comput. Phys. 23, 276 (1977).
33. B. van Leer, J. Comput. Phys. 32, 101 (1979).
34. B. Einfeldt, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 25, 294 (1988).
35. A. Harten, P.D. Lax, and B. van Leer, SIAM Rev. 25, 35 (1983).
36. C.-W. Shu and S. Osher, J. Comput. Phys. 83, 32 (1989).
37. E. Müller, in Computational Methods for Astrophysical Fluid Flow, edited by O. Steiner and A. Gautschy (Springer, Berlin, 1998).
38. J. Winicour, gr-qc/0003029.
39. J.A. Font et al., gr-qc/0110047.
40. J.A. Font, M. Miller, W.-M. Suen, and M. Tobias, Phys. Rev. D 61, 044011 (2000).
41. H. Dimmelmeier, J.A. Font, and E. Müller, Astrophys. J. Lett. 560, L163 (2001).
42. K.D. Kokkotas and N. Andersson, gr-qc/0109054.
43. K.D. Kokkotas (private communication).
44. J. Winicour, Gen. Relativ. Gravit. 19, 281 (1987).
45. L.S. Finn, in Frontiers in Numerical Relativity, edited by C.R. Evans, L.S. Finn, and D.W. Hobill (Cambridge University Press, Cambridge, England, 1989).