Skip to main content
SpringerLink
Log in

A comparative study of Dirac quasinormal modes of charged black holes in higher dimensions

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

In this work we study the Dirac quasinormal modes of higher dimensional charged black holes. Higher dimensional Reissner–Nordström type black holes as well as charged black holes in Einstein–Gauss–Bonnet theories are studied for fermionic perturbations using WKB method. A comparative study of the quasinormal modes in the two different theories of gravity has been performed. The behavior of the frequencies with the variation of black hole parameters as well as with the variation of space-time dimensions is studied. We also study the large multipole number limit of the black hole potential in order to look for an analytic expression for the frequencies.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. K.D. Kokkotas, B.G. Schmidt, Living Rev. Relativ. 2, 2 (1999)

    ADS  MathSciNet  Google Scholar 

  2. H.-P. Nollert, Class. Quantum Gravity 16, R159 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. T. Regge, J.A. Wheeler, Phys. Rev. 108, 1063 (1957)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. C.V. Vishveshwara, Phys. Rev. D 1, 2870 (1970)

    Article  ADS  Google Scholar 

  5. K.D. Kokkotas, N. Stergioulas, Preprint gr-qc/0506083

  6. V. Ferrari, L. Gualtieri, Gen. Relativ. Gravit. 40, 9458 (2008)

    Article  Google Scholar 

  7. V. Cardoso, Preprint gr-qc/0404093

  8. D. Birmingham, I. Sachs, S.N. Solodukhin, Phys. Rev. Lett. 88, 151301 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  9. D. Birmingham, I. Sachs, S.N. Solodukhin, Phys. Rev. D 67, 104026 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  10. G.T. Horowitz, V.E. Hubeny, Phys. Rev. D 62, 024027 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  11. R.A. Konoplya, Phys. Rev. D 66, 044009 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  12. V. Cardoso, J.P.S. Lemos, Phys. Rev. D 63, 124015 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  13. R.A. Konoplya, Phys. Rev. D 68, 124017 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  14. R.A. Konoplya, A. Zhidenko, JHEP 06, 037 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  15. A. Zhidenko, Class. Quantum Gravity 21, 273 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. V. Cardoso, J.P.S. Lemos, Phys. Rev. D 67, 084020 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  17. C. Molina, Phys. Rev. D 68, 064007 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  18. A. Lopez-Ortega, Gen. Relativ. Gravit. 38, 1565 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. A. Lopez-Ortega, Gen. Relativ. Gravit. 38, 743 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. A. Lopez-Ortega, Gen. Relativ. Gravit. 39, 1011 (2007)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  21. A. Lopez-Ortega, Gen. Relativ. Gravit. 40, 1379 (2008)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  22. A.A. Smirnov, Class. Quantum Gravity 22, 4021 (2005)

    Article  MATH  ADS  Google Scholar 

  23. S. Perlmutter , Astrophys. J. 483, 565 (1997)

    Article  ADS  Google Scholar 

  24. S. Hod, Phys. Rev. Lett. 81, 4293 (1998)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  25. L. Motl, A. Neitzke, Adv. Theor. Math. Phys. 7, 307 (2003)

    MathSciNet  Google Scholar 

  26. S. Das, S. Shankaranarayanan, Class. Quantum Gravity 22, L7 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  27. J. Natário, R. Schiappa, Adv. Theor. Math. Phys. 8, 1001 (2004)

    MATH  MathSciNet  Google Scholar 

  28. S.K. Chakrabarti, K.S. Gupta, Int. J. Mod. Phys. A 21, 3565 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  29. R.G. Daghigh, G. Kunstatter, Class. Quantum Gravity 22, 4113 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  30. G. Kunstatter, Phys. Rev. Lett. 90, 161301 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  31. M. Maggiore, Phys. Rev. Lett. 100, 141301 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  32. E.C. Vagenas, JHEP 0811, 073 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  33. H.T. Cho, Phys. Rev. D 68, 024003 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  34. J. Jing, Phys. Rev. D 71, 124006 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  35. E. Lever, Proc. R. Soc. A 402, 285 (1985)

    Article  ADS  Google Scholar 

  36. B. Majumdar, N. Panchapakesan, Phys. Rev. D 40, 2568 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  37. K.H.C. Castello-Branco, R.A. Konoplya, A. Zhidenko, Phys. Rev. D 71, 047502 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  38. Y.-J. Wu, Z. Zhao, Phys. Rev. D 69, 084015 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  39. J.-F. Chang, Y.-G. Shen, Int. J. Theor. Phys. 46, 1570 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  40. J. Jing, JHEP 0512, 005 (2005)

    Article  ADS  Google Scholar 

  41. J.-F. Chang, Y.-G. Shen, Nucl. Phys. B 712, 347 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  42. J.L. Jing, Q.Y. Pan, Phys. Rev. D 71, 124011 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  43. J.L. Jing, Phys. Rev. D 69, 084009 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  44. I. Antoniadis, Phys. Lett. B 246, 377 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  45. N. Arkani-Hamed, S. Dimopoulos, G.R. Dvali, Phys. Lett. B 429, 263 (1998)

    Article  ADS  Google Scholar 

  46. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G.R. Dvali, Phys. Lett. B 436, 257 (1998)

    Article  ADS  Google Scholar 

  47. P. Kanti, R.A. Konoplya, Phys. Rev. D 73, 044002 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  48. P. Kanti, R.A. Konoplya, A. Zhidenko, Phys. Rev. D 74, 064008 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  49. A. Zhidenko, Phys. Rev. D 78, 024007 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  50. H.T. Cho, A.S. Cornell, J. Doukas, W. Naylor, Phys. Rev. D 75, 104005 (2007)

    Article  ADS  Google Scholar 

  51. S.R. Das, G.W. Gibbons, S.D. Mathur, Phys. Rev. Lett. 78, 417 (1997)

    Article  ADS  Google Scholar 

  52. G.W. Gibbons, A.R. Steif, Phys. Lett. B 314, 13 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  53. F.R. Tangherlini, Nuovo Cimento 77, 636 (1963)

    MathSciNet  Google Scholar 

  54. R.C. Myers, M.J. Perry, Ann. Phys. 172, 304 (1986)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  55. B. Zwiebach, Phys. Lett. B 156, 315 (1985)

    Article  ADS  Google Scholar 

  56. D.G. Boulware, S. Deser, Phys. Rev. Lett. 55, 2656 (1985)

    Article  ADS  Google Scholar 

  57. J.T. Wheeler, Nucl. Phys. B 268, 737 (1986)

    Article  ADS  Google Scholar 

  58. J.T. Wheeler, Nucl. Phys. B 273, 732 (1986)

    Article  MATH  ADS  Google Scholar 

  59. D.L. Wiltshire, Phys. Rev. D 38, 2445 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  60. F. Moura, R. Schiappa, Class. Quantum Gravity 24, 361 (2007)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  61. S. Chandrasekhar, S. Detweiler, Proc. R. Soc. (Lond.) A 344, 441 (1975)

    Article  ADS  Google Scholar 

  62. V. Ferrari, B. Mashhoon, Phys. Rev. D 30, 295 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  63. B. Schutz, C.M. Will, Astrophys. J. 291, L33 (1988)

    Article  ADS  Google Scholar 

  64. S. Iyer, C.M. Will, Phys. Rev. D 35, 3621 (1985)

    Article  ADS  Google Scholar 

  65. S. Iyer, Phys. Rev. D 35, 3632 (1987)

    Article  ADS  Google Scholar 

  66. R.A. Konoplya, Phys. Rev. D 68, 024018 (2003)

    Article  ADS  Google Scholar 

  67. N. Andersson, Proc. R. Soc. (Lond.) A 439, 47 (1992)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  68. N. Andersson, S. Linnaeus, Phys. Rev. D 46, 4179 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  69. E.W. Leaver, Proc. R. Soc. (Lond.) A 402, 285 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  70. R. Konoplya, Phys. Rev. D 71, 024038 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  71. E. Abdalla, R.A. Konoplya, C. Molina, Phys. Rev. D 72, 084006 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  72. S.K. Chakrabarti, Gen. Relativ. Gravit. 39, 567 (2007)

    Article  MATH  ADS  Google Scholar 

  73. R. Konoplya, A. Zhidenko, Phys. Rev. D 77, 104004 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  74. V. Cardoso, J.P.S. Lemos, S. Yoshida, Phys. Rev. D 69, 044004 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  75. F. Wilczek, A. Zee, Phys. Rev. D 25, 553 (1982)

    Article  ADS  Google Scholar 

  76. R. Camporesi, A. Higuchi, J. Geom. Phys. 20, (1996)

Download references

Author information

Authors and Affiliations

  1. Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta, 700064, India

    Sayan K. Chakrabarti

Authors
  1. Sayan K. Chakrabarti
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sayan K. Chakrabarti.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chakrabarti, S.K. A comparative study of Dirac quasinormal modes of charged black holes in higher dimensions. Eur. Phys. J. C 61, 477–488 (2009). https://doi.org/10.1140/epjc/s10052-009-1026-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-009-1026-y

PACS

Search

Navigation