Eigentensors of the Lichnerowicz operator in Euclidean Schwarzschild metrics

Annalen der Physik (Leipzig)

Volumn 15, Issue 9, 2006, Pages 653-662

  Martínez Morales, José L ^a  

^a INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

Author keywords

Eigentensors; Euclidean Schwarzschild metric; Lichnerowicz operator

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS;

EIGENTENSORS; EUCLIDEAN SCHWARZSCHILD METRIC; LICHNEROWICZ OPERATOR;

TENSORS;

EID: 33748559444     PISSN: 00033804     EISSN: 15213889     Source Type: Journal    
DOI: 10.1002/andp.200510184     Document Type: Article

References (58)

1. L. Randall and R. Sundrum, Nucl. Phys. B 557, 79 (1999).
2. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 436, 257 (1998).
3. P. T. Chruściel, Helv. Phys. Acta 69, 529 (1996).
4. M. Heusler, Black Hole Uniqueness Theorem (Cambridge Univ. Press, Cambridge, 1996);
5. Living Rev. 1, 6 (1998).
6. S. Hawking and G. Ellis. The Large Scale Structure of Space-Time (Cambridge Univ. Press. London, New York. 1973).
7. P.T. Chruściel and R.M. Wald, Class. Quantum Gravity 11, L147 (1994).
8. I. Rácz and R.M. Wald, Class. Quantum Gravity 13, 539 (1996).
9. P.T. Chruściel, Class. Quantum Gravity 16, 689 (1999);
10. Class. Quantum Gravity 16, 661 (1999).
11. G. Weinstein, Trans Am. Math. Soc. 343, 899 (1994).
12. G. Weinstein. Commun, Partial Differ. Equ. 21, 1389 (1996).
13. G.W. Gibbons and K. Maeda. Nucl. Phys. B 298, 741 (1988).
14. A. Masood-ul-Alam, Class. Quantum Gravity 10, 2649 (1993).
15. M. Mars and W. Simon, Adv. Theor. Math. Phys. 6, 279 (2003).
16. G.W. Gibbons, D. Ida, and T. Shiromizu, Phys. Rev. D 66, 044010 (2002).
17. M. Rogatko, Phys. Rev. D 59, 104010 (1999).
18. M. Rogatko, Class. Quantum Gravity 19, L151 (2002).
19. M. Heusler, Class. Quantum Gravity 12, 2021 (1995).
20. R. Bartnik and J. McKinnon, Phys. Rev. Lett. 61, 141 (1988).
21. M.S. Volkov and D.V. Galtsov, Sov. J. Nucl. Phys. 51, 1171 (1990).
22. H. P. Künzle and M. Masood-ul-Alam, J. Math. Phys. 31, 928 (1990).
23. N. Straumann and Z-H. Zhou, Phys. Lett. B 237, 353 (1990).
24. P. Bizon, Phys. Lett. B 259, 53 (1991).
25. Z-H. Zhou and N. Straumann, Nucl. Phys. B 360, 180 (1991).
26. S. Droz, M. Heusler, and N. Straumann, Phys. Lett. B 268, 371 (1991).
27. M. Heusler, S. Droz, and N. Straumann, Phys. Lett. B 271, 61 (1991);
28. Phys. Lett. B 285, 21 (1992).
29. M. Heusler, N. Straumann, and Z-H. Zhou, Helv. Phys. Acta 66, 614 (1993).
30. M.T. Anderson, math.DG/0105243 (2001).
31. M. T. Anderson, math.DG/0104171 (2001).
32. M.T. Anderson, P.T. Chruściel, and E. Delay, J. High Energy Phys. 210, 063 (2002).
33. R.M. Wald, gr-qc/9710068 (1997).
34. D.J. Gross, M. J. Perry, and L.G. Yaffe, Phys. Rev. D (3) 25(2), 330-355 (1982).
35. H. Kodama and A. Ishibashi, Prog. Theor. Phys. 111, 29 (2004).
36. B. Whiting, J. Math. Phys. 30, 1301 (1989).
37. J. Bardeen, Phys. Rev. D 22, 1882 (1980).
38. H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. 78, 1 (1984).
39. H. Kodama, A. Ishibashi, and O. Seto, Phys. Rev. D 62, 064022 (2000).
40. G.W. Gibbons and S.A. Hartnoll, Phys. Rev. D 66, 064024 (2002).
41. T. Regge and J. Wheeler, Phys. Rev. 108, 1063 (1957).
42. F. Zerilli, Phys. Rev. Lett. 24, 737 (1970).
43. H. Kodama and A. Ishibashi, Prog. Theor. Phys. 110, 701 (2003).
44. F. R. Tangherlini, Nuovo Cimento 27, 636 (1963).
45. D. Birmingham, Class. Quantum Grav. 16, 1197 (1999).
46. S. Hwang, Geometriae Dedicata 71, 5 (1998).
47. G.W. Gibbons, D. Ida, and T. Shiromizu, Phys. Rev. Lett. 89, 041101 (2002).
48. M. Rogatko, Phys. Rev. D 67, 084025 (2003).
49. R. Myers and M. Perry, Ann. Phys. (USA) 172, 304 (1986).
50. H. Reall, Phys. Rev. D 68, 024024 (2003).
51. M. Cai and G. Galloway, Class. Quantum Gravity 18, 2707 (2001).
52. R. Emparan and H.S. Reall, Phys. Rev. Lett. 88, 101101 (2001).
53. C.V. Vishveshwara, Phys. Rev. D 1, 2870 (1970).
54. F. Zerilli, Phys. Rev. Lett. 24, 737 (1970).
55. W. Press and S.A. Teukolsky, Astrophys. J. 185, 649 (1973);
56. W. Press and S.A. Teukolsky, 193, 443 (1974).
57. J.M. Stewart, Proc. R. Soc. Lond. A 334, 51 (1975).
58. S. Chandrasekhar, in: General Relativity: An Einstein Centennial Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, London, 1979).