Gravitational radiation in D-dimensional spacetimes

Physical Review D

Volumn 67, Issue 6, 2003, Pages

  Cardoso, Vitor ^a   Dias, Oscar J C ^a   Lemos, José P S ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ASTRONOMY; GRAVITY; MATHEMATICAL ANALYSIS; QUANTUM MECHANICS; RADIATION; SPACE; THEORY; TIME;

EID: 0038754051     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.064026     Document Type: Article

References (81)

1. B. F. Schutz, Class. Quantum Grav. 16, A131 (1999);
2. B. F. Schutz and F. Ricci, in Gravitational Waves, edited by I. Ciu-folini et al. (Institute of Physics Publishing, Bristol, 2001).
3. S. A. Hughes, astro-ph/0210481.
4. K. Danzmann et al., in Gravitational Wave Experiments, edited by E. Coccia, G. Pizzella, and F. Ronga (World Scientific, Singapore, 1995).
5. A. Abramovici et al., Science 256, 325 (1992).
6. C. Bradaschia et al., in Gravitation 1990, Proceedings of the Banff Summer Institute, Banff, Alberta, 1990, edited by R. Mann and P. Wesson (World Scientific, Singapore, 1991).
7. K. S. Thorne, Rev. Mod. Phys. 52, 299 (1980);
8. in General Relativity: An Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1989).
9. T. Damour, in Gravitational Radiation, edited by Nathalie Deruelle and Tsvi Piran (North-Holland Publishing Company, New York, 1983).
10. W. Kinnersley and M. Walker, Phys. Rev. D 2, 1359 (1970);
11. O. J. C. Dias and J. P. S. Lemos, Phys. Rev. D ibid. 67, 064001 (2003).
12. N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 429, 263 (1998);
13. Phys. Rev. D 59, 086004 (1999);
14. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 436, 257 (1998).
15. P. C. Argyres, S. Dimopoulos, and J. March-Russell, Phys. Lett. B 441, 96 (1998);
16. S. Dimopoulos and G. Landsberg, Phys. Rev. Lett. 87, 161602 (2001);
17. S. B. Giddings and S. Thomas, Phys. Rev. D 65, 056010 (2002);
18. S. D. H. Hsu, hep-ph/0203154; H. Tu, hep-ph/0205024;
19. A. Jevicki and J. Thaler, Phys. Rev. D 66, 024041 (2002);
20. Y. Uehara, hep-ph/0205199.
21. P. Kanti and J. March-Russell, Phys. Rev. D 66, 024023 (2002); hep-ph/0212199;
22. D. Ida, Kiri-ya Oda, and S. C. Park, PE: 027306 Phys. Rev. D (to be published), hep-th/0212108;
23. V. Frolov and D. Stojkovic, Phys. Rev. Lett. 89, 151302 (2002); gr-qc/0211055.
24. V. Cardoso and J. P. S. Lemos, "Gravitational Radiation from the Radial Infall of Highly Relativistic Point Particles into Kerr Black Holes," gr-qc/0211094.
25. V. Cardoso and J. P. S. Lemos, Phys. Lett. B 538, 1 (2002); gr-qc/0207009.
26. D. M. Eardley and S. B. Giddings, Phys. Rev. D 66, 044011 (2002).
27. H. Yoshino and Y. Nambu, Phys. Rev. D 67, 024009 (2003).
28. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
29. G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, Cambridge, England, 1995).
30. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1970).
31. R. Courant and D. Hubert, Methods of Mathematical Physics (Interscience, New York, 1962), Chap. VI.
32. J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations (Yale University Press, New Haven, CT, 1923).
33. J. D. Barrow and F. J. Tipler, The Anthropic Cosmological Principle (Oxford University Press, Oxford, 1986).
34. D. V. Gal'tsov, Phys. Rev. D 66, 025016 (2002).
35. S. Hassani, Mathematical Physics (Springer-Verlag, New York, 1998).
36. P. O. Kazinski, S. L. Lyakhovich, and A. A. Sharapov, Phys. Rev. D 66, 025017 (2002);
37. B. P. Kosyakov, Theor. Math. Phys. 119, 493 (1999).
38. F. R. Tangherlini, Nuovo Cimento 27, 636 (1963).
39. R. C. Myers and M. J. Perry, Ann. Phys. (N.Y.) 172, 304 (1986).
40. B. Chen, M. Li, and Feng-Li Lin, J. High Energy Phys. 11, 050 (2002).
41. J. M. Weisberg and J. H. Taylor, astro-ph/0211217.
42. P. C. Peters, Phys. Rev. 136, B1224 (1964);
43. P. C. Peters and J. Mathews, Phys. Rev. 131, 435 (1963).
44. B. F. Schutz, A First Course in General Relativity (Cambridge University Press, Cambridge, England, 1985).
45. F. Zerilli, Phys. Rev. Lett. 24, 737 (1970);
46. Phys. Rev. D 2, 2141 (1970).
47. M. Davis, R. Ruffini, W. H. Press, and R. H. Price, Phys. Rev. Lett. 27, 1466 (1971).
48. Sources of Gravitational Radiation, edited by S. L. Smarr (Cambridge University Press, Cambridge, England, 1979).
49. P. Anninos, D. Hobill, E. Seidel, L. Smarr, and W. M. Suen, Phys. Rev. Lett. 71, 2851 (1993);
50. R. J. Gleiser, C. O. Nicasio, R. H. Price, and J. Pullin, Phys. Rev. Lett. ibid. 77, 4483 (1996).
51. R. Ruffini, Phys. Rev. D 7, 972 (1973);
52. M. J. Fitchett, Ph.D. thesis, University of Cambridge, Cambridge, England, 1984.
53. T. Regge and J. A. Wheeler, Phys. Rev. 108, 1063 (1957).
54. S. Weinberg, Phys. Lett. 9, 357 (1964);
55. Phys. Rev. 135, B1049 (1964).
56. L. Smarr, Phys. Rev. D 15, 2069 (1977);
57. R. J. Adler and B. Zeks, Phys. Rev. D ibid. 12, 3007 (1975).
58. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
59. K. D. Kokkotas and B. G. Schmidt, Living Rev. Relativ. 2, 2 (1999).
60. G. T. Horowitz and V. E. Hubeny, Phys. Rev. D 62, 024027 (2000);
61. V. Cardoso and J. P. S. Lemos, Phys. Rev. D ibid. 63, 124015 (2001);
62. V. Cardoso and J. P. S. Lemos, Phys. Rev. D 64, 084017 (2001);
63. Class. Quantum Grav. 18, 5257 (2001);
64. D. Birmingham, I. Sachs, and S. N. Solodukhin, Phys. Rev. Lett. 88, 151301 (2002);
65. R. A. Konoplya, Phys. Rev. D 66, 044009 (2002);
66. S. F. J. Chan and R. B. Mann, Phys. Rev. D ibid. 55, 7546 (1997);
67. I. G. Moss and J. P. Norman, Class. Quantum Grav. 19, 2323 (2002);
68. R. Aros, C. Martinez, R. Troncoso, and J. Zanelli, Phys. Rev. D 67, 044014 (2003);
69. D. T. Son and A. O. Starinets, J. High Energy Phys. 09, 042 (2002).
70. F. Mellor and I. Moss, Phys. Rev. D 41, 403 (1990);
71. E. Abdalla, B. Wang, A. Lima-Santos, and W. G. Qiu, Phys. Lett. B 538, 435 (2002).
72. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 253 (1998).
73. B. F. Schutz and C. M. Will, Astrophys. J. Lett. 291, L33 (1985);
74. S. Iyer and C. M. Will, Phys. Rev. D 35, 3621 (1987);
75. S. Iyer, Phys. Rev. D ibid. 35, 3632 (1987).
76. V. Cardoso and J. P. S. Lemos, Phys. Rev. D 66, 064006 (2002).
77. O. Dreyer, gr-qc/0211076; G. Kunstatter, gr-qc/0211076.
78. J. Schwinger, Phys. Rev. 82, 664 (1951).
79. Ó. J. C. Dias, in Proceedings of the Xth Portuguese Meeting on Astronomy and Astrophysics, Lisbon, 2000, edited by J. P. S. Lemos et al. (World Scientific, Singapore, 2001), p. 109, gr-qc/0106081.
80. C. S. Wang Chang and D. L. Falkoff, Phys. Rev. 76, 365 (1949).
81. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, New York, 1965).