A new method for computing quasi-local spin and other invariants on marginally trapped surfaces

Classical and Quantum Gravity

Volumn 26, Issue 24, 2009, Pages

  Jasiulek, Michael ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70849108544     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/26/24/245008     Document Type: Article

References (73)

1. Pretorius F 2005 Phys. Rev. Lett. 95 121101 (arXiv:gr-qc/0507014)
2. Campanelli M, Lousto C O, Marronetti P and Zlochower Y 2006a Phys. Rev. Lett. 96 111101 (arXiv:gr-qc/0511048)
3. Baker J G, Centrella J, Choi D, Koppitz M and van Meter J 2006 Phys. Rev. D 73 104002 (arXiv:gr-qc/0602026)
4. Campanelli M, Lousto C O, Zlochower Y, Krishnan B and Merritt D 2007 Phys. Rev. D 75 064030 (arXiv:gr-qc/0612076)
5. Campanelli M, Lousto C O, Nakano H and Zlochower Y 2008 arXiv:0808.0713
6. Rezzolla L et al 2008a Astrophys. J. 679 1422 (arXiv:0708.3999)
7. Rezzolla L et al 2008b Astrophys. J. 674 L29 (arXiv:0710.3345)
8. Barausse E and Rezzolla L 2009 arXiv:0904.2577
9. Tichy W and Marronetti P 2008 Phys. Rev. D 78 081501 (arXiv:0807.2985)
10. Boyle L and Kesden M 2008 Phys. Rev. D 78 024017 (arXiv:0712.2819)
11. Pollney D et al 2007 Phys. Rev. D 76 124002 (arXiv:0707.2559 [gr-qc])
12. Baker J G et al 2008 Phys. Rev. D 78 044046 (arXiv:0805.1428)
13. Herrmann F, Hinder I, Shoemaker D M, Laguna P and Matzner R A 2007 Phys. Rev. D 76 084032 (arXiv:0706.2541)
14. Marronetti P, Tichy W, Bruegmann B, Gonzalez J and Sperhake U 2008 Phys. Rev. D 77 064010 (arXiv:0709.2160)
15. Campanelli M, Lousto C O and Zlochower Y 2006b Phys. Rev. D 74 084023 (arXiv:astro-ph/0608275)
16. Scheel M A et al 2009 Phys. Rev. D 79 024003 (arXiv:0810.1767)
17. Kiuchi K, Sekiguchi Y, Shibata M and Taniguchi K 2009 arXiv:0904.4551
18. Shibata M and Taniguchi K 2006 Phys. Rev. D 73 064027 (arXiv:astro-ph/0603145)
19. Shibata M 1999 Prog. Theor. Phys. 101 1199 (arXiv:gr-qc/9905058)
20. Font J 2008 Living Rev. Rel. 11 86-91
21. Baiotti L, Giacomazzo B and Rezzolla L 2008 Phys. Rev. D 78 084033 (arXiv:0804.0594)
22. Shibata M and Uryu K 2006 Phys. Rev. D 74 121503 (arXiv:gr-qc/0612142)
23. Etienne Z B et al 2008 Phys. Rev. D 77 084002 (arXiv:0712.2460)
24. Duez M D et al 2008 Phys. Rev. D 78 104015 (arXiv:0809.0002)
25. Shibata M 2003 Phys. Rev. D 67 024033
26. Shibata M, Baumgarte T W and Shapiro S L 2000 Phys. Rev. D 61 044012
27. Baiotti L et al 2005 Phys. Rev. D 71 024035 (arXiv:gr-qc/0403029)
28. Baiotti L and Rezzolla L 2006 Phys. Rev. Lett. 97 141101 (arXiv:gr-qc/0608113)
29. Saijo M, Baumgarte T W, Shapiro S L and Shibata M 2002 Astrophys. J. 569 349 (arXiv:astro-ph/0202112)
30. Shibata M and Shapiro S L 2002 Astrophys. J. 572 L39 (arXiv:astro-ph/ 0205091)
31. Saijo M and Hawke I 2009 Phys. Rev. D 80 064001 (arXiv:0908.3002)
32. Ashtekar A, Fairhurst S and Krishnan B 2000 Phys. Rev. D 62 104025 (arXiv:gr-qc/0005083)
33. Ashtekar A, Beetle C and Lewandowski J 2001 Phys. Rev. D 64 044016
34. Ashtekar A and Krishnan B 2004 Living Rev. Rel. 7 10 (arXiv:gr-qc/ 0407042)
35. Ashtekar A and Krishnan B 2002 Phys. Rev. Lett. 89 261101
36. Matzner R 2003 J. Math. Phys. 9 1657
37. Dreyer O, Krishnan B, Shoemaker D and Schnetter E 2003 Phys. Rev. D 67 024018 (arXiv:gr-qc/0206008)
38. Cook G and Whiting B 2007 Phys. Rev. D 76 41501
39. Caudill M, Cook G, Grigsby J and Pfeiffer H 2006 Phys. Rev. D 74 64011
40. Smarr L 1973a Phys. Rev. D 7 289
41. Ashtekar A, Engle J, Pawlowski T and Van Den Broeck C 2004 Class. Quantum Grav. 21 2549 (arXiv:gr-qc/0401114)
42. Booth I 2005 Can. J. Phys. 83 1073 (arXiv:gr-qc/0508107)
43. Gourgoulhon E and Jaramillo J L 2006 Phys. Rep. 423 159 (arXiv:gr-qc/0503113)
44. Baumgarte T, Cook G, Scheel M, Shapiro S and Teukolsky S 1996 Phys. Rev. D 54 4849
45. Wald G 1984 General Relativity (Chicago, IL: University of Chicago Press)
46. Lovelace G, Owen R, Pfeiffer H P and Chu T 2008 Phys. Rev. D 78 084017 (arXiv:0805.4192)
47. Beetle C 2008 arXiv:0808.1745
48. Smarr L 1973b Phys. Rev. D 7 289
49. Chandrasekhar S 1983 The Mathematical Theory of Black Holes (Oxford: Oxford University Press)
50. Vasset N, Novak J and Jaramillo J L 2009 Phys. Rev. D 79 124010 (arXiv:0901.2052)
51. Owen R 2009 arXiv:0907.0280
52. Thornburg J 2007 Living Rev. Rel. http://www.livingreviews.org/lrr-2007-3
53. Thorne K S 1980 Rev. Mod. Phys. 52 299
54. Project B M, Erdélyi A and Bateman H E. U. O. of Naval Research 1953 Higher Transcendental Functions (New York: McGraw-Hill)
55. Lachieze-Rey M 2004 J. Phys. A: Math. Gen. 37 205
56. Kelly B 2004 The May Project: The Newman-Penrose Scalars www.eng.uah.edu/∼jacksoa/literature/NPScalars.pdf
57. Smarr L 1975 PhD Thesis Texas University, Austin
58. Allen G, Benger W, Goodale T, Hege H, Lanfermann G, Merzky A, Radke T, Seidel E and Shalf J 2000 Proc. 9th Int. Symp. High-Performance Distributed Computing pp 253-60
59. Brandt S and Bruegmann B 1997 Phys. Rev. Lett. 78 3606 (arXiv:gr-qc/9703066)
60. Ansorg M, Bruegmann B and Tichy W 2004 Phys. Rev. D 70 064011 (arXiv:gr-qc/0404056)
61. Nakamura T, Oohara K and Kojima Y 1987 Prog. Theor. Phys. Suppl. 90 1
62. Shibata M and Nakamura T 1995 Phys. Rev. D 52 5428
63. Baumgarte T W and Shapiro S L 1998 Phys. Rev. D 59 024007 (arXiv:gr-qc/9810065)
64. Alcubierre M et al 2003 Phys. Rev. D 67 084023 (arXiv:gr-qc/0206072)
65. Mesh Refinement with Carpet http://www.carpetcode.org
66. Thornburg J 1996 Phys. Rev. D 54 4899 (arXiv:gr-qc/9508014)
67. Leaver E W 1985 Proc. R. Soc. Lond. A 402 285
68. Schnetter E 2003 Class. Quantum Grav. 20 4719 (arXiv:gr-qc/0306006)
69. Metzger J 2004 Class. Quantum Grav. 21 4625 (arXiv:gr-qc/0408059)
70. Szegö G 1939 Orthogonal Polynomials (New York: American Mathematical Society)
71. Sobolev S 1974 Introduction to the Theory of Cubature Formulae (Moscow: NAUKA)
72. Press W, Teukolsky S, Flannery B and Vetterling W 1990 Numerical Recipes: FORTRAN (New York: Cambridge University Press)
73. Driscoll J and Healy D Jr 1994 Adv. Appl. Math. 15 202