Numerical relativity and compact binaries

Physics Reports

Volumn 376, Issue 2, 2003, Pages 41-131

  Baumgarte, Thomas W ^a,b   Shapiro, Stuart L ^b  

^a BOWDOIN COLLEGE   (United States)

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037370744     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(02)00537-9     Document Type: Review

References (299)

1. Abrahams, A.M., York Jr., J.W., 1997. In: Marck, J.-A., Lasota, J.-P. (Eds.), Relativistic Gravitation and Gravitational Radiation. Cambridge University Press, Cambridge.
2. Abrahams, A.M., Anderson, A., Choquet-Bruhat, Y., York Jr., J.W., 1995. Phys. Rev. Lett. 75, 3377.
3. Abrahams, A.M., et al. (The Binary Black Hole Grand Challenge Alliance), 1998. Phys. Rev. Lett. 80, 1812.
4. Alcubierre, M., 1997. Phys. Rev. D 55, 5981.
5. Alcubierre, M., Brügmann, B., 2001. Phys. Rev. D 63, 104006.
6. Alcubierre, M., Massó, J., 1998. Phys. Rev. D 57, 4511.
7. Alcubierre, M., Schutz, B., 1994. J. Comput. Phys. 112, 44.
8. Alcubierre, M., Seidel, E., 2002. Private communication.
9. Alcubierre, M., Brügmann, B., Miller, M., Suen, W.-M., 1999. Phys. Rev. D 60, 064017.
10. Alcubierre, M., Allen, G., Brügmann, B., Landermann, G., Seidel, E., Suen, W.-M., Tobias, M., 2000a. Phys. Rev. D 61, 041501.
11. Alcubierre, M., Allen, G., Brügmann, B., Seidel, E., Suen, W.-M., 2000b. Phys. Rev. D 62, 124011.
12. Alcubierre, M., Brandt, S., Brügmann, B., Gundlach, C., Massó, J., Seidel, E., Walker, P., 2000c. Class. Quantum Grav. 17, 2159.
13. Alcubierre, M., Brügmann, B., Dramlitsch, T., Font, J.A., Papadopoulos, P., Seidel, E., Stergioulas, N., Takahashi, R., 2000d. Phys. Rev. D 62, 044034.
14. Alcubierre, M., Benger, W., Brügmann, B., Lanfermann, G., Nerger, L., Seidel, E., Takahashi, R., 2001a. Phys. Rev. Lett. 87, 271103.
15. Alcubierre, M., Brügmann, B., Pollney, D., Seidel, E., Takahashi, R., 2001b. Phys. Rev. D 64, 061501.
16. Alcubierre, M., Brügmann, B., Diener, P., Koppitz, M., Pollney, D., Seidel, E., Takahashi, R., 2002. gr-qc/0206072.
17. Anderson, A., York Jr., J.W., 1999. Phys. Rev. Lett. 82, 4384.
18. Anderson, A., Choquet-Bruhat, Y., York Jr., J.W., 1997. Topol. Methods Nonlinear Anal. 10, 353.
19. Anninos, P., Hobill, D., Seidel, E., Smarr, L., Suen, W.-M., 1993. Phys. Rev. Lett. 71, 2851.
20. Anninos, P., Bernstein, D., Brandt, S., Libson, J., Massó, J., Seidel, E., Smarr, L., Suen, W.-M., Walker, P., 1995a. Phys. Rev. Lett. 74, 630.
21. Anninos, P., Daues, G., Massó, J., Seidel, E., Suen, W.-M., 1995b. Phys. Rev. D 51, 5562.
22. Anninos, P., Camarda, K., Massó, J., Seidel, E., Suen, W.-M., Towns, J., 1995c. Phys. Rev. D 52, 2059.
23. Anninos, P., Camarda, K., Libson, J., Massó, J., Seidel, E., Suen, W.-M., 1998. Phys. Rev. D 58, 024003.
24. Arnowitt, R., Deser, S., Misner, C.W., 1962. In: Witten, L. (Ed.), Gravitation: An Introduction to Current Research. Wiley, New York.
25. Asada, H., 1998. Phys. Rev. D 57, 7292.
26. Ashtekar, A., Beetle, C., Fairhurst, S., 1999. Class. Quantum Grav. 16, L1.
27. Ashtekar, A., Beetle, C., Dryer, O., Fairhurst, S., Krishnan, B., Lewandowski, J., Wisniewski, J., 2000. Phys. Rev. Lett. 85, 3564.
28. Baierlein, R.F., Sharp, D.H., Wheeler, J.A., 1962. Phys. Rev. 126, 1864.
29. Baker, B.D., 2002. Phys. Rev. D 65, 124012.
30. Baker, J., Brügmann, B., Campanelli, M., Lousto, C.O., Takhashi, R., 2001. Phys. Rev. Lett. 87, 121103.
31. Baker, J., Campanelli, M., Lousto, C.O., Takhashi, R., 2002. astro-ph/0202469.
32. Balakrishna, J., Daues, G., Seidel, E., Suen, W.-M., Tobias, M., Wang, E., 1996. Class. Quantum Grav. 13, L135.
33. Bardeen, J.M., Piran, T., 1983. Phys. Rep. 96, 205.
34. Baumgarte, T.W., 2000. Phys. Rev. D 62, 084020.
35. Baumgarte, T.W., 2001. In: J.M. Centrella (Ed.), Astrophysical Sources for Ground-Based Gravitational Wave Detectors, AIP Conference Proceedings, p. 575.
36. Baumgarte, T.W., Shapiro, S.L., 1999. Phys. Rev. D 59, 024007.
37. Baumgarte, T.W., Shapiro, S.L., Teukolksy, S.A., 1995. Astrophys. J. 443, 717.
38. Baumgarte, T.W., Cook, G.B., Scheel, M.A., Shapiro, S.L., Teukolsky, S.A., 1996. Phys. Rev. D 54, 4849.
39. Baumgarte, T.W., Cook, G.B., Scheel, M.A., Shapiro, S.L., Teukolsky, S.A., 1997. Phys. Rev. Lett. 79, 1182.
40. Baumgarte, T.W., Cook, G.B., Scheel, M.A., Shapiro, S.L., Teukolsky, S.A., 1998a. Phys. Rev. D 57, 6181.
41. Baumgarte, T.W., Cook, G.B., Scheel, M.A., Shapiro, S.L., Teukolsky, S.A., 1998b. Phys. Rev. D 57, 7299.
42. Baumgarte, T.W., Shapiro, S.L., Abrahams, A.M., 1998c. Lecture Notes on Numerical Relativity, unpublished.
43. Baumgarte, T.W., Hughes, S.A., Rezzolla, L., Shapiro, S.L., Shibata, M., 1999a. In: Burgess, C.P., Myers, R.C. (Eds.), General Relativity and Relativistic Astrophysicsm - Eighth Canadian Conference AIP Conference Proceedings, Vol. 493. Melville, New York.
44. Baumgarte, T.W., Hughes, S.A., Shapiro, S.L., 1999b. Phys. Rev. D 60, 087501.
45. Baumgarte, T.W., Shapiro, S.L., Shibata, M., 2000. Astrophys. J. 528, L29.
46. Beig, R., 1978. Phys. Lett. 69A, 153.
47. Berger, B.K., Moncrief, V., 1993. Phys. Rev. D 48, 4676.
48. Bernstein, D., 1993. Ph.D. Thesis, University of Illinois at Urbana-Champaign.
49. Bildsten, L., Cutler, C., 1992. Astrophys. J. 400, 175.
50. Bishop, N.T., 1984. Gen. Rel. Grav. 16, 589.
51. Bishop, N.T., Gomez, R., Lehner, L., Szilagyi, B., Winicour, J., Isaacson, R., 1996. Phys. Rev. Lett. 76, 4303.
52. Blackburn, J.K., Detweiler, S., 1992. Phys. Rev. D 46, 2318.
53. Blanchet, L., 2002. Phys. Rev. D 65, 124009.
54. Blanchet, L., Damour, T., Iyer, B.R., Will, C.M., Wiseman, A.G., 1995. Phys. Rev. Lett. 74, 3515.
55. Bona, C., Massó, J., 1988. Phys. Rev. D 38, 2419.
56. Bona, C., Massó, J., 1992. Phys. Rev. Lett. 68, 1097.
57. Bona, C., Massó, J., Seidel, E., Stela, J., 1995. Phys. Rev. Lett. 75, 600.
58. Bona, C., Massó, J., Seidel, E., Stela, J., 1997. Phys. Rev. D 56, 3405.
59. Bona, C., Massó, J., Seidel, E., Walker, P., 1998. gr-qc/9804052.
60. Bonazzola, S., Gourgoulhon, E., Marck, J.-A., 1997. Phys. Rev. D 56, 7740.
61. Bonazzola, S., Gourgoulhon, E., Marck, J.-A., 1999a. Phys. Rev. Lett. 82, 892.
62. Bonazzola, S., Gourgoulhon, E., Marck, J.-A., 1999b. J. Comput. Appl. Math. 109, 433.
63. Bowen, J.M., 1982. Gen. Rel. Grav. 14, 1183.
64. Bowen, J.M., York Jr., J.W., 1980. Phys. Rev. D 21, 2047.
65. Brady, P.R., Creighton, J.D.E., Thorne, K.S., 1998. Phys. Rev. D 58, 061501.
66. Brandt, S.R., Brügmann, B., 1997. Phys. Rev. Lett. 78, 3606.
67. Brandt, S.R., Seidel, E., 1995a. Phys. Rev. D 52, 856.
68. Brandt, S.R., Seidel, E., 1995b. Phys. Rev. D 52, 870.
69. Brandt, S.R., Seidel, E., 1996. Phys. Rev. D 54, 1403.
70. Brandt, S., Correll, R., Gomez, R., Huq, M., Laguna, P., Lehner, L., Marronetti, P., Matzner, R.A., Neilsen, D., Pullin, J., Schnetter, E., Shoemaker, D., Winicour, J., 2000. Phys. Rev. Lett. 85, 5496.
71. Brodbeck, O., Frittelli, S., Hübner, P., Reula, O., 1999. J. Math. Phys. 40, 909.
72. Brügmann, B., 1996. Phys. Rev. D 54, 7361.
73. Brügmann, B., 1999. Int. J. Mod. Phys. D 8, 85.
74. Buananno, A., Damour, T., 2000. Phys. Rev. D 62, 084036.
75. Čadež, A., 1971. Ph.D. Dissertation, University of North Carolina.
76. Čadež, A., 1974. Ann. Phys. 83, 449.
77. Calabrese, G., Lehner, L., Tiglio, M, 2002a. Phys. Rev. D 65, 104031.
78. Calabrese, G., Pullin, J., Sarbach, O., Tiglio, M., 2002b. Phys. Rev. D 66, 064011.
79. Chandrasekhar, S., 1992. The Mathematical Theory of Black Holes. Oxford University Press, New York.
80. Christodoulou, C., 1970. Phys. Rev. Lett. 25, 1596.
81. Choptuik, M.W., 1993. Phys. Rev. Lett. 70, 9.
82. Choquet-Bruhat, Y., 1952. Acta. Math. 88, 141.
83. Choquet-Bruhat, Y., 1962. In: Witten, L. (Ed.), Gravitation: An Introduction to Current Research. Wiley, New York.
84. Choquet-Bruhat, Y., Ruggeri, T., 1983. Commun. Math. Phys. 89, 269.
85. Cook, G.B., 1990. Ph.D. Thesis, University of North Carolina.
86. Cook, G.B., 1991. Phys. Rev. D 44, 2983.
87. Cook, G.B., 1994. Phys. Rev. D 50, 5025.
88. Cook, G.B., 2000. Living Rev. Rel. 5, 1.
89. Cook, G.B., 2002. Phys. Rev. D 65, 084003.
90. Cook, G.B., Scheel, M.A., 1997. Phys. Rev. D 56, 4775.
91. Cook, G.B., York Jr., J.W., 1990. Phys. Rev. D 41, 1077.
92. Cook, G.B., Choptuik, M.W., Dubal, M.R., Klasky, S., Matzner, R.A., Oliveira, S.R., 1993. Phys. Rev. D 47, 1471.
93. Cook, G.B., Shapiro, S.L., Teukolsky, 1994. Astrophys. J. 422, 227.
94. Cook, G.B., Shapiro, S.L., Teukolsky, 1996. Phys. Rev. D 53, 5533.
95. Cook, G.B., et al. (The Binary Black Hole Grand Challenge Alliance), 1998. Phys. Rev. Lett. 80, 2512.
96. Cutler, C., Apostolatos, T.A., Bilsten, L., Finn, L.S., Flanagan, E.E., Kennefick, D., Markovic, D.M., Ori, A., Poisson, E., Sussman, G.J., Thorne, K.S., 1993. Phys. Rev. Lett. 70, 2984.
97. Damour, T., Jaranowski, P., Schäfer, G., 2000. Phys. Rev. D 62, 084011.
98. Damour, T., Gourgoulhon, E., Grandclément, P., 2002. Phys. Rev. D 66, 024007.
99. Daues, G., 1996. Ph.D. Thesis, Washington University.
100. Detweiler, S., 1987. Phys. Rev. D 35, 1095.
101. De Donder, T., 1921. La gravifique einsteinienne. Gauthier-Villars, Paris.
102. Dreyer, O., Krishnan, B., Schnetter, E., Shoemaker, D., 2002. gr-qc/0206008.
103. Duez, M.D., Engelhard, E.T., Fregeau, J.M., Huffenberger, K.M., Shapiro, S.L., 1999. Phys. Rev. D 60, 104024.
104. Duez, M.D., Baumgarte, T.W., Shapiro, S.L., 2001. Phys. Rev. D 63, 084030.
105. Duez, M.D., Baumgarte, T.W., Shapiro, S.L., Shibata, M., Uryu, K., 2002. Phys. Rev. D 65, 024016.
106. Eardley, D.M., 1982. Talk at Numerical Astrophysics: a Symposium in Honor of James R. Wilson. University of Illinois, unpublished.
107. Eardley, D.M., Smarr, L., 1979. Phys. Rev. D 19, 2239.
108. Einstein, A., Rosen, N., 1935. Phys. Rev. 48, 73.
109. Eppley, K., 1977. Phys. Rev. D 16, 1609.
110. Estabrook, F.B., Wahlquist, H.D., Christensen, S., DeWitt, B., Smarr, L., Tsiang, E., 1973. Phys. Rev. D 7, 2814.
111. Estabrook, F.B., Robinson, R.S., Wahlquist, H.D., 1997. Class. Quantum Grav. 14, 1237.
112. Evans, C.R., 1984. Ph.D. Thesis, University of Texas at Austin.
113. Faber, J.A., Rasio, F.A., 2002. Phys. Rev. D 65, 084042.
114. Fischer, A., Marsden, J., 1972. Commun. Math. Phys. 28, 1.
115. Flanagan, E.E., 1999. Phys. Rev. Lett. 82, 1354.
116. Flanagan, Hughes, S.A., 1998. Phys. Rev. D 57, 4566.
117. Font, J.A., 2000. Living Rev. Rel. 3, 2.
118. Font, J.A., Miller, M., Suen, W.-M., Tobias, M., 2000. Phys. Rev. D 61, 044011.
119. Font, J.A., Goodale, T., Iyer, S., Miller, M., Rezzolla, L., Seidel, E., Stergioulas, N., Suen, W.-M., Tobias, M., 2002. Phys. Rev. D 65, 084024.
120. Friedrich, H., 1981a. Proc. R. Soc. London A 375, 169.
121. Friedrich, H., 1981b. Proc. R. Soc. London A 378, 401.
122. Friedrich, H., 1985. Commun. Math. Phys. 100, 525.
123. Friedrich, H., 1986a. Commun. Math. Phys. 103, 35.
124. Friedrich, H., 1986b. Commun. Math. Phys. 107, 587.
125. Friedrich, H., 1996. Class. Quantum Grav. 13, 1451.
126. Friedrich, H., Nagy, G., 1999. Commun. Math. Phys. 201, 619.
127. Friedman, J.L., Uryu, K., Shibata, M., 2002. Phys. Rev. D 65, 064035.
128. Frittelli, S., 1997. Phys. Rev. D 55, 5992.
129. Frittelli, S., Gomez, R., 2000. J. Math. Phys. 41, 5535.
130. Frittelli, S., Reula, O., 1994. Commun. Math. Phys 166, 221.
131. Frittelli, S., Reula, O., 1996. Phys. Rev. Lett. 76, 4667.
132. Frittelli, S., Reula, O., 1999. J. Math. Phys. 40, 5143.
133. Garat, A., Price, R.H., 2000. Phys. Rev. D 61, 124011.
134. Garfinkle, D., 2002. Phys. Rev. D 65, 044029.
135. Garfinkle, D., Gundlach, C., 1999. Class. Quantum Grav. 16, 4111.
136. Garfinkle, D., Gundlach, C., Isenberg, J., O'Murchadha, N., 2000. Class. Quantum Grav. 17, 3899.
137. Gleiser, R.J., Nicasio, C.O., Price, R.H., Pullin, J., 1998. Phys. Rev. D 57, 3401.
138. Gomez, R., et al. (The Binary Black Hole Grand Challenge Alliance), 1998. Phys. Rev. Lett. 80, 3915.
139. Gourgoulhon, E., 1998. gr-qc/9804054.
140. Gourgoulhon, E., Grandclément, P., Taniguchi, K., Marck, J.-A., Bonazzola, S., 2001. Phys. Rev. D 63, 064029.
141. Gourgoulhon, E., Grandclément, P., Bonazzola, S., 2002. Phys. Rev. D 65, 044020.
142. Grandclément, P., Bonazzola, S., Gourgoulhon, E., Marck, J.-A., 2001. J. Comput. Phys. 170, 231.
143. Grandclément, P., Gourgoulhon, E., Bonazzola, S., 2002. Phys. Rev. D 65, 044021.
144. Gundlach, C., 1998. Phys. Rev. D 57, 863.
145. Gundlach, C., Walker, P., 1999. Class. Quantum Grav. 16, 991.
146. Hachisu, I., 1986. Astrophys. J. Suppl. 61, 479.
147. Hawking, S.W., Ellis, G.F.R., 1973. The Large Scale Structure of Space-time. Cambridge University Press, Cambridge.
148. Hawley, J.F., Smarr, L.L., Wilson, J.R., 1984a. Astrophys. J. 277, 296.
149. Hawley, J.F., Smarr, L.L., Wilson, J.R., 1984b. Astrophys. J. Suppl. 55, 211.
150. Hübner, P., 1996. Phys. Rev. D 53, 701.
151. Hughes, S., Keeton II, C.R., Walker, P., Walsh, K., Shapiro, S.L., Teukolsky, S.A., 1994. Phys. Rev. D 49, 4004.
152. Huq, M.F., Chopuik, M.W., Matzner, R.A., 2002. Phys. Rev. D 66, 084024.
153. D'Inverno, R., 1992. Introducing Einstein's Relativity. Oxford University Press, Oxford.
154. Isenberg, J., 1978. Unpublished.
155. Jackson, J.D., 1975. Classical Electrodynamics, 2nd Edition. Wiley, New York.
156. Jansen, N., Diener, P., Khokhlov, A., Novikov, I., 2002. gr-qc/0103109.
157. Kemball, A.J., Bishop, N.T., 1991. Class. Quantum Grav. 8, 1361.
158. Kelly, B., Laguna, P., Lockitch, K., Pullin, J., Schnetter, E., Shoemaker, D., Tiglio, M., 2001. Phys. Rev. D 64, 084013.
159. Khokhlov, A.M., Novikov, I.D., 2002. Class. Quantum Grav. 19, 827.
160. Kidder, L.E., Scheel, M.A., Teukolsky, S.A., Carlson, E.D., Cook, G.B., 2000. Phys. Rev. D 62, 064017.
161. Kidder, L.E., Scheel, M.A., Teukolsky, S.A., 2001. Phys. Rev. D 64, 064017.
162. Knapp, A.M., Walker, E.J., Baumgarte, T.W., 2002. Phys. Rev. D 65, 064031.
163. Kochanek, C.S., 1992. Astrophys. J. 398, 234.
164. Komar, A., 1959. Phys. Rev. 113, 934.
165. Kulkarni, A.D., Shepley, L.C., York Jr., J.W., 1983. Phys. Lett. 96A, 228.
166. Laguna, P., 1999. Phys. Rev. D 60, 084012.
167. Laguna, P., Shoemaker, D., 2002. Class. Quantum Grav. 19, 3679.
168. Lai, D., Rasio, F.A., Shapiro, 1993. Astrophys. J. Suppl. 88, 205.
169. Lanczos, C., 1922. Phys. Z. 23, 537.
170. Landry, W., Teukolsky, S.A., 1999. gr-qc/9912004.
171. Lehner, L., 2001. Class. Quantum Grav. 18, R25.
172. Lehner, L., Huq, M., Anderson, M., Bonning, E., Schaefer, D., Matzner, R., 2000a. Phys. Rev. D 62, 044037.
173. Lehner, L., Huq, M., Garrison, D., 2000b. Phys. Rev. D 62, 084016.
174. Libson, J., Massó, J., Seidel, E., Suen, W.-M., 1996a. In: Jantzen, R, et al. (Ed.), The Seventh Marcel Grossmann Meeting, Proceedings, Stanford, California, 1994. World ScientiJc, Singapore.
175. Libson, J., Massǒ, J., Seidel, E., Suen, W.-M., Walker, P., 1996b. Phys. Rev. D 53, 4335.
176. Lichnerowicz, A., 1944. J. Math. Pure Appl. 23, 37.
177. Lightman, A.P., Press, W.H., Price, R.H., Teukolsky, S.A., 1975. Problem Book in Relativity and Gravitation. Princeton University Press, Princeton, NJ.
178. Lindblom, L., Scheel, M.A., 2002. Phys. Rev. D 66, 084014.
179. Linquist, R.W., 1963. J. Math. Phys. 4, 938.
180. Lombardi, F.C., Rasio, F.A., Shapiro, S.L., 1997. Phys. Rev. D 56, 3416.
181. Lousto, C.O., Price, R.H., 1998. Phys. Rev. D 57, 1073.
182. Marronetti, P., Matzner, R.A., 2000. Phys. Rev. Lett. 85, 5500.
183. Marronetti, P., Mathews, G.J., Wilson, J.R., 1998. Phys. Rev. D 58, 107503.
184. Marronetti, P., Mathews, G.J., Wilson, J.R., 1999. Phys. Rev. D 60, 087301.
185. Marronetti, P., Huq, M., Laguna, P., Lehner, L., Matzner, R., Shoemaker, D., 2000. Phys. Rev. D 62, 024017.
186. Marsa, R.L., Choptuik, M.W., 1996. Phys. Rev. D 54, 4929.
187. Martí, J.M., Müller, E., 1999. Living Rev. Rel. 2, 3.
188. Martí, J.M., Ibáñez, J.M., Miralles, J.A., 1991. Phys. Rev. D 43, 3794.
189. Mathews, G.J., Wilson, J.R., 2000. Phys. Rev. D 61, 127304.
190. Matzner, R.A., Seidel, E., Shapiro, S.L., Smarr, L., Suen, W.-M., Teukolsky, S.A., Winicour, J., 1995. Science 270, 941.
191. Matzner, R.A., Huq, M.F., Shoemaker, D., 1999. Phys. Rev. D 59, 024015.
192. May, M., White, R.H., 1966. Phys. Rev. 141, 1232.
193. Miller, M., 2000. gr-qc/0008017.
194. Miller, M., 2001. gr-qc/0106017.
195. Misner, C.W., 1960. Phys. Rev. 118, 1110.
196. Misner, C.W., 1963. Ann. Phys. 24, 102.
197. Misner, C.W., Thorne, K., Wheeler, J.A., 1973. Gravitation. Freeman, San Francisco, CA.
198. Nakamura, T., Kojima, Y., Oohara, K., 1984. Phys. Lett. 106A, 235.
199. Nakamura, T., Kojima, Y., Oohara, K., 1985. Phys. Lett. 107A, 452.
200. Nakamura, T., Oohara, K., Kojima, Y., 1987. Prog. Theor. Phys. Suppl. 90, 76.
201. von Neumann, J., Richtmyer, R.D., 1950. J. Appl. Phys. 21, 232.
202. New, K.C.B., 2002. gr-qc/0206041.
203. New, K.C.B., Choi, D.-I., Centrella, J.M., MacNeice, P., Huq, M.F., Olson, K., 2000. Phys. Rev. D 62, 084039.
204. Norman, M.L., Winkler, K.-H.A., 1986. In: Norman, M.L., Winkler, K.-H.A. (Eds.), Astrophysical Radiation Hydrodynamics. Reidel Publishing Company, Amsterdam.
205. Oechslin, R., Rosswog, S., Thielemann, F.-K., 2002. Phys. Rev. D 65, 103005.
206. Ó Murchadha, N., York Jr., J.W., 1974. Phys. Rev. D 10, 2345.
207. Oohara, K., Nakamura, T., 1997. In: Marck, J.-A., Lasota, J.-P. (Eds.), Relativistic Gravitation and Gravitational Radiation. Cambridge Contemporary Astrophysics, Cambridge.
208. Oohara, K., Nakamura, T., 1999. Prog. Theor. Phys. Suppl. 136, 270.
209. Oohara, K., Nakamura, T., Shibata, M., 1997. Prog. Theor. Phys. Suppl. 128, 183.
210. Oppenheimer, J.R., Volkoff, G., 1939. Phys. Rev. 55, 374.
211. Ori, A., Thorne, K.S., 2000. Phys. Rev. D 62, 124022.
212. Petrich, L.I., Shapiro, S.L., Teukolsky, S.A., 1985. Phys. Rev. D 31, 2459.
213. Petrich, L.I., Shapiro, S.L., Teukolsky, S.A., 1986. Phys. Rev. D 33, 2100.
214. Pfeiffer, H.P., Teukolsky, S.A., Cook, G.B., 2000. Phys. Rev. D 62, 104018.
215. Pfeiffer, H.P., Cook, G.B., Teukolsky, S.A., 2002. Phys. Rev. D 66, 024047.
216. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., 1992. Numerical Recipes. Cambridge University Press, Cambridge.
217. Price, R.H., Pullin, J., 1994. Phys. Rev. Lett. 72, 3297.
218. vanPutten , M.H.P.M., Eardley, D.M., 1996. Phys. Rev. D 53, 3056.
219. Rasio, F.A., Shapiro, S.L., 1999. Class. Quantum Grav. 16, R1.
220. Reula, O., 1998. Living Rev. Rel. 1, 3.
221. Rezzolla, L., Abrahams, A.M., Baumgarte, T.W., Cook, G.B., Scheel, M.A., Shapiro, S.L., Teukolksy, S.A., 1998. Phys. Rev. D 57, 1084.
222. Rieth, R., SchOafer, G., 1996. gr-qc/9603043.
223. vanRiper, K., 1979. Astrophys. J. 232, 558.
224. Sarbach, O., Calabrese, G., Pullin, J., Tiglio, M., 2002. Phys. Rev. D 66, 064002.
225. Scheel, M.A., 2000. Talk given at the ITP Miniprogram Colliding Black Holes: Mathematical Issues in Numerical Relativity, January 10-28, 2000 (online version available at http://doug-pc.itp.ucsb.edu/online/numrel00/scheel/).
226. Scheel, M.A., Shapiro, S.L., Teukolsky, S.A., 1995a. Phys. Rev. D 51, 4208.
227. Scheel, M.A., Shapiro, S.L., Teukolsky, S.A., 1995b. Phys. Rev. D 51, 4236.
228. Scheel, M.A., Baumgarte, T.W., Cook, G.B., Shapiro, S.L., Teukolsky, S.A., 1997. Phys. Rev. D 56, 6320.
229. Scheel, M.A., Baumgarte, T.W., Cook, G.B., Shapiro, S.L., Teukolsky, S.A., 1998. Phys. Rev. D 58, 044020.
230. Schinder, P.J., Bludman, S.A., Piran, T., 1988. Phys. Rev. D 37, 2722.
231. Schnetter, E., 2002. gr-qc/0206003.
232. Schutz, B.F., 1980. Geometrical Methods of Mathematical Physics. Cambridge University Press, Cambridge.
233. Seidel, E., Suen, W.-M., 1992. Phys. Rev. Lett. 69, 1845.
234. Shapiro, S.L., 1998. Phys. Rev. D 57, 908.
235. Shapiro, S.L., 2000. Astrophys. J. 544, 397.
236. Shapiro, S.L., Teukolsky, S.A., 1980. Astrophys. J. 235, 199.
237. Shapiro, S.L., Teukolsky, S.A., 1985. Astrophys. J. 298, 58.
238. Shapiro, S.L., Teukolsky, S.A., 1986. Astrophys. J. 307, 575.
239. Shapiro, S.L., Teukolsky, S.A., 1992. Phys. Rev. D 45, 2739.
240. Shibata, M., 1997. Phys. Rev. D 55, 2002.
241. Shibata, M., 1998. Phys. Rev. D 58, 024012.
242. Shibata, M., 1999a. Phys. Rev. D 60, 104052.
243. Shibata, M., 1999b. Prog. Theor. Phys. 101, 251.
244. Shibata, M., 1999c. Prog. Theor. Phys. 101, 1199.
245. Shibata, M., Nakamura, T., 1995. Phys. Rev. D 52, 5428.
246. Shibata, M., Uryu, K., 2000a. Phys. Rev. D 61, 064001.
247. Shibata, M., Uryu, K., 2000b. Phys. Rev. D 62, 087501.
248. Shibata, M., Uryu, K., 2001. Phys. Rev. D 64, 104017.
249. Shibata, M., Uryu, K., 2002. Prog. Theor. Phys. 107, 265.
250. Shibata, M., Baumgarte, T.W., Shapiro, S.L., 1998. Phys. Rev. D. 58, 023002.
251. Shibata, M., Baumgarte, T.W., Shapiro, S.L., 2000a. Phys. Rev. D. 61, 044012.
252. Shibata, M., Baumgarte, T.W., Shapiro, S.L., 2000b. Astrophys. J. 542, 453.
253. Shinkai, H., Yoneda, G., 2000. Class. Quantum Grav. 17, 4799.
254. Shinkai, H., Yoneda, G., 2002. Class. Quantum Grav. 19, 1027.
255. Shoemaker, D.M., Huq, M.F., Matzner, R.A., 2000. Phys. Rev. D 62, 124005.
256. Smarr, L., 1975, Ph.D. Thesis, University of Texas at Austin.
257. Smarr, L., 1979. In: Smarr, L. (Ed.), Sources of Gravitational Radiation. Cambridge University Press, Cambridge.
258. Smarr, L., York Jr., J.W., 1978a. Phys. Rev. D 17, 1945.
259. Smarr, L., York Jr., J.W., 1978b. Phys. Rev. D 17, 2529.
260. Szilagyi, B., Gomez, R., Bishop, N.T., Winicour, J., 2000. Phys. Rev. D 62, 104006.
261. Szilagyi, B., Schmidt, B., Winicour, J., 2002. Phys. Rev. D 65, 064015.
262. Tagoshi, H., et al. (The TAMA collaboration), 2001. Phys. Rev. D 63, 062001.
263. Teukolsky, S.A., 1982. Phys. Rev. D 26, 745.
264. Teukolsky, S.A., 1998. Astrophys. J. 504, 442.
265. Thorneburg, J., 1987. Class. Quantum Grav. 4, 1119.
266. Thorneburg, J., 1996. Phys. Rev. D 54, 4899.
267. Thorsett, S.E., Chakrabarty, D., 1999. Astrophys. J. 512, 288.
268. Tichy, W., Brügmann, B., Cambanelli, M., Diener, P., 2002. gr-qc/0207011.
269. Tod, K.D., 1991. Class. Quantum Grav. 8, L115.
270. Unruh, W., 1984. as cited in Thorneburg (1987).
271. Uryu, K., Eriguchi, Y., 1998a. Mon. Not. R. Astron. Soc. 299, 575.
272. Uryu, K., Eriguchi, Y., 1998b. Astrophys. J. Suppl. 118, 563.
273. Uryu, K., Eriguchi, Y., 2000. Phys. Rev. D 61, 124023.
274. Uryu, K., Shibata, M., Eriguchi, Y., 2000. Phys. Rev. D 62, 104015.
275. Usui, F., Eriguchi, Y., 2002. Phys. Rev. D 65, 064030.
276. Usui, F., Uryu, K., Eriguchi, Y., 2000. Phys. Rev. D 61, 024039.
277. Wald, R.M., 1984. General Relativity. University of Chicago Press, Chicago.
278. Wald, R.M., Iyer, V., 1991. Phys. Rev. D 44, 3719.
279. Whelan, J.T., Romano, J.D., 1999. Phys. Rev. D 60, 084009.
280. Whelan, J.T., Krivan, W., Price, R.H., 2000. Class. Quantum Grav. 17, 4895.
281. Wilson, J.R., 1972. Astrophys. J. 173, 431.
282. Wilson, J.R., Mathews, G.J., 1989. In: Evans, C.R., Finn, L.S., Hobill, D.W. (Eds.), Frontiers in Numerical Relativity. Cambridge University Press, Cambridge.
283. Wilson, J.R., Mathews, G.J., 1995. Phys. Rev. Lett. 75, 4161.
284. Wilson, J.R., Mathews, G.J., Marronetti, P., 1996. Phys. Rev. D 54, 1317.
285. Yo, H.-J., Baumgarte, T.W., Shapiro, S.L., 2001a. Phys. Rev. D 63, 064035.
286. Yo, H.-J., Baumgarte, T.W., Shapiro, S.L., 2001b. Phys. Rev. D 64, 124011.
287. Yo, H.-J., Baumgarte, T.W., Shapiro, S.L., 2002. Phys. Rev. D 66, 084026.
288. Yoneda, G., Shinkai, H., 1999. Phys. Rev. Lett. 82, 263.
289. Yoneda, G., Shinkai, H., 2000. Int. J. Mod. Phys. D 9, 13.
290. Yoneda, G., Shinkai, H., 2001a. Class. Quantum Grav. 18, 441.
291. Yoneda, G., Shinkai, H., 2001b. Phys. Rev. D 63, 124019.
292. Yoneda, G., Shinkai, H., 2002. Phys. Rev. D 66, 124003.
293. York Jr., J.W., 1971. Phys. Rev. Lett. 26, 1656.
294. York Jr., J.W., 1972. Phys. Rev. Lett. 28, 1082.
295. York Jr., J.W., 1973. J. Math. Phys. 14, 456.
296. York Jr., J.W., 1979. In: Smarr, L. (Ed.), Sources of Gravitational Radiation. Cambridge University Press, Cambridge.
297. York Jr., J.W., 1980. In: Tipler, F.J. (Ed.), Essays in General Relativity. Academic, New York.
298. York Jr., J.W., 1989. In: Evans, C.R., Finn, L.S., Hobill, D.W. (Eds.), Frontiers in Numerical Relativity. Cambridge University Press, Cambridge.
299. York Jr., J.W., 1999. Phys. Rev. Lett. 82, 1350.