Quasinormal modes of the extremal BTZ black hole

Classical and Quantum Gravity

Volumn 21, Issue 12, 2004, Pages 2801-2809

  Crisóstomo, Juan ^a   Lepe, Samuel ^a   Saavedra, Joel ^a  

^a PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAÍSO   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042774553     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/12/002     Document Type: Article

References (42)

1. Teitelboim C 1995 Phys. Rev. D 51 315 Teitelboim C 1995 Phys. Rev. D 52 6201 (erratum)
2. Teitelboim C 1995 Phys. Rev. D 51 315 Teitelboim C 1995 Phys. Rev. D 52 6201 (erratum)
3. Hawking S W, Horowitz G T and Ross S F 1995 Phys. Rev. D 51 4302-14
4. Preskill J, Schwarz P, Shapere A, Trivedi S and Wilczek F 1991 Mod. Phys. Lett. A 6 2353 Wilczek F 1992 Lectures on black hole quantum mechanics Quantum Mechanics of Fundamental Systems IV Proc. of a Meeting (Santiago, Chile, Dec. 1991) ed C Teitelboim and J Zanelli (New York: Plenum) Gibbons G W and Kallosh R E 1995 Phys. Rev. D 51 2839-62
5. Preskill J, Schwarz P, Shapere A, Trivedi S and Wilczek F 1991 Mod. Phys. Lett. A 6 2353 Wilczek F 1992 Lectures on black hole quantum mechanics Quantum Mechanics of Fundamental Systems IV Proc. of a Meeting (Santiago, Chile, Dec. 1991) ed C Teitelboim and J Zanelli (New York: Plenum) Gibbons G W and Kallosh R E 1995 Phys. Rev. D 51 2839-62
6. Preskill J, Schwarz P, Shapere A, Trivedi S and Wilczek F 1991 Mod. Phys. Lett. A 6 2353 Wilczek F 1992 Lectures on black hole quantum mechanics Quantum Mechanics of Fundamental Systems IV Proc. of a Meeting (Santiago, Chile, Dec. 1991) ed C Teitelboim and J Zanelli (New York: Plenum) Gibbons G W and Kallosh R E 1995 Phys. Rev. D 51 2839-62
7. Das S, Dasgupta A and Ramadevi P 1997 Mod. Phys. Lett. A 12 3067-80
8. Kaplan S A 1949 Zh. Eksp. Teor. Fiz. 19 951 Zeldovich Ya B and Novikov I D 1996 Dokl. Akad. Nauk. 155 1033 For higher dimensions see Das S R and Mathur S D 1996 Nucl. Phys. B 478 561 For higher dimensions see Das S R and Mathur S D 1996 Phys. Lett. B 375 103 Das S R, Gibbons G and Mathur S D 1997 Phys. Rev. Lett. 78 417 Lee H W and Myung Y S 1998 Phys. Rev. D 58 104013 Kuchiev M Yu and Flambaum V V 2003 Preprint gr-qc/0312065
9. Kaplan S A 1949 Zh. Eksp. Teor. Fiz. 19 951 Zeldovich Ya B and Novikov I D 1996 Dokl. Akad. Nauk. 155 1033 For higher dimensions see Das S R and Mathur S D 1996 Nucl. Phys. B 478 561 For higher dimensions see Das S R and Mathur S D 1996 Phys. Lett. B 375 103 Das S R, Gibbons G and Mathur S D 1997 Phys. Rev. Lett. 78 417 Lee H W and Myung Y S 1998 Phys. Rev. D 58 104013 Kuchiev M Yu and Flambaum V V 2003 Preprint gr-qc/0312065
10. Kaplan S A 1949 Zh. Eksp. Teor. Fiz. 19 951 Zeldovich Ya B and Novikov I D 1996 Dokl. Akad. Nauk. 155 1033 For higher dimensions see Das S R and Mathur S D 1996 Nucl. Phys. B 478 561 For higher dimensions see Das S R and Mathur S D 1996 Phys. Lett. B 375 103 Das S R, Gibbons G and Mathur S D 1997 Phys. Rev. Lett. 78 417 Lee H W and Myung Y S 1998 Phys. Rev. D 58 104013 Kuchiev M Yu and Flambaum V V 2003 Preprint gr-qc/0312065
11. Kaplan S A 1949 Zh. Eksp. Teor. Fiz. 19 951 Zeldovich Ya B and Novikov I D 1996 Dokl. Akad. Nauk. 155 1033 For higher dimensions see Das S R and Mathur S D 1996 Nucl. Phys. B 478 561 For higher dimensions see Das S R and Mathur S D 1996 Phys. Lett. B 375 103 Das S R, Gibbons G and Mathur S D 1997 Phys. Rev. Lett. 78 417 Lee H W and Myung Y S 1998 Phys. Rev. D 58 104013 Kuchiev M Yu and Flambaum V V 2003 Preprint gr-qc/0312065
12. Kaplan S A 1949 Zh. Eksp. Teor. Fiz. 19 951 Zeldovich Ya B and Novikov I D 1996 Dokl. Akad. Nauk. 155 1033 For higher dimensions see Das S R and Mathur S D 1996 Nucl. Phys. B 478 561 For higher dimensions see Das S R and Mathur S D 1996 Phys. Lett. B 375 103 Das S R, Gibbons G and Mathur S D 1997 Phys. Rev. Lett. 78 417 Lee H W and Myung Y S 1998 Phys. Rev. D 58 104013 Kuchiev M Yu and Flambaum V V 2003 Preprint gr-qc/0312065
13. Kaplan S A 1949 Zh. Eksp. Teor. Fiz. 19 951 Zeldovich Ya B and Novikov I D 1996 Dokl. Akad. Nauk. 155 1033 For higher dimensions see Das S R and Mathur S D 1996 Nucl. Phys. B 478 561 For higher dimensions see Das S R and Mathur S D 1996 Phys. Lett. B 375 103 Das S R, Gibbons G and Mathur S D 1997 Phys. Rev. Lett. 78 417 Lee H W and Myung Y S 1998 Phys. Rev. D 58 104013 Kuchiev M Yu and Flambaum V V 2003 Preprint gr-qc/0312065
14. Kaplan S A 1949 Zh. Eksp. Teor. Fiz. 19 951 Zeldovich Ya B and Novikov I D 1996 Dokl. Akad. Nauk. 155 1033 For higher dimensions see Das S R and Mathur S D 1996 Nucl. Phys. B 478 561 For higher dimensions see Das S R and Mathur S D 1996 Phys. Lett. B 375 103 Das S R, Gibbons G and Mathur S D 1997 Phys. Rev. Lett. 78 417 Lee H W and Myung Y S 1998 Phys. Rev. D 58 104013 Kuchiev M Yu and Flambaum V V 2003 Preprint gr-qc/0312065
15. Gamboa J and Méndez F 2001 Class. Quantum Grav. 18 225
16. Lepe S, Méndez F, Saavedra J and Vergara L 2003 Class. Quantum Grav 20 2417-28
17. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
18. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
19. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
20. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
21. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
22. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
23. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
24. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
25. Cardoso V, Lemos J P S and Yoshida S 2003 J. High. Energy Phys. JHEP12(2003)041 Birmingham D, Carlip S and Chen Y 2003 Class. Quantum Grav. 20 L239-L244 Berti E and Kokkotas K D 2003 Phys. Rev. D 67 064020 Cardoso V and Lemos J P S 2003 Phys. Rev. D 67 084020 Aros R, Martinez C, Troncoso R and Zanelli J 2003 Phys. Rev. D 67 044014 Birmingham D 2001 Phys. Rev. D 64 064024 Choudhury T R and Padmanabhan T 2003 Preprint gr-qc/0311064 Padmanabhan T 2003 Preprint gr-qc/0311036 Padmanabhan T 2004 Class. Quantum Grav. 21 L1
26. Horowitz G T and Hubeny V E 2000 Phys. Rev. D 62 024027
27. Birmingham D, Sachs I and Solodukhin S N 2002 Phys. Rev. Lett. 88 151301
28. Birmingham D, Sachs I and Solodukhin S N 2003 Phys. Rev. D 67 104026
29. Cardoso V and Lemos J P S 2001 Phys. Rev. D 63 124015
30. Konoplya R A 2003 Phys. Rev. D 68 124017 Cardoso V, Konoplya R and Lemos J P S 2003 Phys. Rev. D 68 044024 Konoplya R A 2003 Phys. Rev. D 68 024018 Konoplya R A 2002 Phys. Rev. D 66 044009
31. Konoplya R A 2003 Phys. Rev. D 68 124017 Cardoso V, Konoplya R and Lemos J P S 2003 Phys. Rev. D 68 044024 Konoplya R A 2003 Phys. Rev. D 68 024018 Konoplya R A 2002 Phys. Rev. D 66 044009
32. Konoplya R A 2003 Phys. Rev. D 68 124017 Cardoso V, Konoplya R and Lemos J P S 2003 Phys. Rev. D 68 044024 Konoplya R A 2003 Phys. Rev. D 68 024018 Konoplya R A 2002 Phys. Rev. D 66 044009
33. Konoplya R A 2003 Phys. Rev. D 68 124017 Cardoso V, Konoplya R and Lemos J P S 2003 Phys. Rev. D 68 044024 Konoplya R A 2003 Phys. Rev. D 68 024018 Konoplya R A 2002 Phys. Rev. D 66 044009
34. See e.g. Birrel N D and Davies P C W 1982 Quantum Fields in Curved Space Times (Cambridge: Cambridge University Press)
35. Nakahara M 1991 Geometry, Topology and Physics (Bristol: Hilger)
36. Bañados M, Teitelboim C and Zanelli J 1992 Phys. Rev. Lett. 69 1819
37. Setare M R 2003 Preprint hep-th/0311221 Setare M R 2003 Preprint hep-th/0312061 Setare M R 2004 Preprint hep-th/0401063 Setare M R and Vagenas E C 2004 Preprint hep-th/0401187
38. Setare M R 2003 Preprint hep-th/0311221 Setare M R 2003 Preprint hep-th/0312061 Setare M R 2004 Preprint hep-th/0401063 Setare M R and Vagenas E C 2004 Preprint hep-th/0401187
39. Setare M R 2003 Preprint hep-th/0311221 Setare M R 2003 Preprint hep-th/0312061 Setare M R 2004 Preprint hep-th/0401063 Setare M R and Vagenas E C 2004 Preprint hep-th/0401187
40. Setare M R 2003 Preprint hep-th/0311221 Setare M R 2003 Preprint hep-th/0312061 Setare M R 2004 Preprint hep-th/0401063 Setare M R and Vagenas E C 2004 Preprint hep-th/0401187
41. Son D T and Starinets A O 2002 J. High Energy Phys. JHEP09(2002)042
42. Nunez A and Starinets A O 2003 Phys. Rev. D 67 124013