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Quantum tunnelling radiation from static and rotating black lenses in five dimensions

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Abstract

Black lenses with L(n, 1) horizon topology in five dimensions have many unusual properties shared by neither Myers-Perry black holes with event-horizon topology S 3, nor 5-dimensional black rings with event-horizon topology S 2 × S 1. In this work, by constructing appropriate matrices γ µ for the general covariant Dirac equation, we further extend the fermion tunnelling method to 5-dimensional static and rotating black lenses. As a result, it is interesting to find as in black hole cases, fermions tunnelling can also result in correct Hawking temperatures for the static and rotating black lenses.

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References

  1. Hawking S W. Particle creation by black holes. Commun Math Phys, 1975, 43:199–220

    Article  MathSciNet  ADS  Google Scholar 

  2. Hawking S W. Black hole explosions? Nature, 1974, 248:30–31

    Article  ADS  Google Scholar 

  3. Parikh MK, Wilczek F. Hawking radiation as tunneling. Phys Rev Lett, 2000, 85:5042–5045

    Article  MathSciNet  ADS  Google Scholar 

  4. Parikh MK. New coordinates for de Sitter space and de Sitter radiation. Phys Lett B, 2002, 546:189–195

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Zhang J, Zhao Z. New coordinates for Kerr-Newman black hole radiation. Phys Lett B, 2005, 618:14–22

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Zhang J. Black hole quantum tunneling and black hole entropy correction. Phys Lett B, 2008, 668:353–356

    Article  MathSciNet  ADS  Google Scholar 

  7. Zhang J. Black hole entropy, log correction and inverse area correction. Phys Lett B, 2009, 675:14–17

    Article  MathSciNet  ADS  Google Scholar 

  8. Zhang J. Entropy correction of BTZ black holes in a tunneling framework. Sci China-Phys Mech Astron, 2010, 53:1427–1433

    Article  ADS  Google Scholar 

  9. Liu W B. New coordinates for BTZ black hole and Hawking radiation via tunneling. Phys Lett B, 2006, 634:541–544

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Jiang Q Q, Wu S Q, Cai X. Hawking radiation as tunneling from the Kerr and Kerr-Newman black holes. Phys Rev D, 2006, 73:064003

    Article  MathSciNet  ADS  Google Scholar 

  11. Jiang Q Q, Wu S Q, Cai X. Hawking radiation from dilatonic black holes via anomalies. Phys Rev D, 2007, 75:064029

    Article  MathSciNet  ADS  Google Scholar 

  12. Banerjee R, Majhi B R. Quantum tunneling beyond semiclassical approximation. J High Energy Phys, 2008, 0806:095

    Article  MathSciNet  ADS  Google Scholar 

  13. Banerjee R, Majhi B R. Quantum tunneling and back reaction. Phys Lett B, 2008, 662:62–65

    Article  MathSciNet  ADS  Google Scholar 

  14. Li H L, Yang S Z, Jiang Q Q, et al. Charged particles tunneling radiation from the charged BTZ black hole. Phys Lett B, 2006, 641:139–144

    Article  MathSciNet  ADS  Google Scholar 

  15. Zhao R, Wu Y Q, Zhang L C, et al. Hawking radiation of fivedimensional rotating black hole. Eur Phys J C, 2009, 60:685–689

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Zhao R, Li H F, Zhang L C, et al. Radiation spectrum of a highdimensional rotating black hole. Sci China-Phys Mech Astron, 2010, 53:504–507

    Article  ADS  Google Scholar 

  17. Zhang L C, Li H F, Zhao R. Thermodynamics of the Reissner-Nordström-de Sitter black hole. Sci China-Phys Mech Astron, 2011, 54:1384–1387

    Article  ADS  Google Scholar 

  18. Gao L, Liu W B. General radiation via tunneling in Kerr and Kerr-Newman black holes. Sci China Ser G-Phys Mech Astron, 2008, 51:1200–1205

    Article  ADS  MATH  Google Scholar 

  19. Wu S Q, Jiang Q Q. Remarks on Hawking radiation as tunneling from the BTZ black holes. J High Energy Phys, 2006, 0603:079

    Article  MathSciNet  ADS  Google Scholar 

  20. Wu X, Gao S. Tunneling effect near weakly isolated horizon. Phys Rev D, 2007, 75:044027

    Article  ADS  Google Scholar 

  21. Kerner R, Mann R B. Tunnelling, temperature, and Taub-NUT black holes. Phys Rev D, 2006, 73:104010

    Article  MathSciNet  ADS  Google Scholar 

  22. Kerner R, Mann R B. Tunnelling from Gödel black holes. Phys Rev D, 2007, 75:084022

    Article  MathSciNet  ADS  Google Scholar 

  23. Li R, Ren J R. Dirac particles tunneling from BTZ black hole. Phys Lett B, 2008, 661:370–372

    Article  MathSciNet  ADS  Google Scholar 

  24. Li R, Ren J R, Wei S W. Hawking radiation of Dirac particles via tunneling from the Kerr black hole. Class Quantum Grav, 2008, 25: 125016

    Article  MathSciNet  ADS  Google Scholar 

  25. Li H L, Yang S Z, Zhou T J, et al. Fermion tunneling from a Vaidya black hole. Europhys Lett, 2008, 84: 20003

    Article  ADS  Google Scholar 

  26. Li H L, Zhou T J, Cai M. Hawking radiation of Dirac particles via tunneling from a black plane. Astrophys Space Sci, 2008, 318:215–218

    Article  ADS  Google Scholar 

  27. Chen D Y, Jiang Q Q, Zu X T. Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces. Phys Lett B, 2008, 665:106–110

    Article  MathSciNet  ADS  Google Scholar 

  28. Chen D Y, Jiang Q Q, Yang S Z, et al. Fermions tunnelling from the charged dilatonic black holes. Class Quantum Grav, 2008, 25:205022

    Article  ADS  Google Scholar 

  29. Chen D Y, Yang H T, Zu X T. Fermion tunneling from anti-de Sitter spaces. Eur Phys J C, 2008, 56:119–124

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. Zeng X X, Li L, Hu X Y. Entropy correction of charged black hole via fermions tunneling beyond semi-classical approximation. Sci China-Phys Mech Astron, 2010, 53:116–121

    Article  MathSciNet  ADS  Google Scholar 

  31. Zeng X X, Yang S Z. Fermions tunneling from Reissner-Nordström black hole. Gen Rel Grav, 2008, 40:2107–2114

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. Criscienzo R D, Vanzo L. Fermion tunneling from dynamical horizons. Europhys Lett, 2008, 82:60001

    Article  Google Scholar 

  33. Mao P J, Li R, Jia L Y, et al. Hawking radiation of Dirac particles from the Myers-Perry black hole. Euro Phys J C, 2011, 71:1527

    Article  ADS  Google Scholar 

  34. Gillani U A, Saifullah K. Tunneling of Dirac particles from accelerating and rotating black holes. Phys Lett B, 2011, 699:15–20

    Article  MathSciNet  ADS  Google Scholar 

  35. Jiang Q Q. Fermions tunnelling from GHS and non-extremal D1–D5 black holes. Phys Lett B, 2008, 666:517–521

    Article  MathSciNet  ADS  Google Scholar 

  36. Jiang Q Q. Dirac particle tunneling from black rings. Phys Rev D, 2008, 78:044009

    Article  MathSciNet  ADS  Google Scholar 

  37. Lin K, Yang S Z. Fermions tunneling of higher-dimensional Kerr-Antide Sitter black hole with one rotational parameter. Phys Lett B, 2009, 674:127–130

    Article  MathSciNet  ADS  Google Scholar 

  38. Li H L, Deng Y F. Charged fermions tunneling radiation from the charged Gödel black hole in minimal five-dimensional gauged supergravity. Sci China-Phys Mech Astron, 2010, 53:1775–1779

    Article  ADS  MATH  Google Scholar 

  39. Li H L, Lin R. Tunneling effect of Dirac particles from the nonextremal black hole in D = 5, SO(6) gauged supergravity. Gen Rel Grav, 2011, 43:2115–2125

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. Cvetic M, Lü H, Pope C N. Charged Kerr-de Sitter black holes in five dimensions. Phys Lett B, 2004, 598:273–278

    Article  MathSciNet  ADS  MATH  Google Scholar 

  41. Kunduri H K, Lucietti J, Reall H S. Supersymmetric multi-charge AdS5 black holes. J High Energy Phys, 2006, 0604:036

    Article  MathSciNet  ADS  Google Scholar 

  42. Wu S Q. General nonextremal rotating charged Gödel black holes in minimal five-dimensional gauged supergravity. Phys Rev Lett, 2008, 100:121301.

    Article  ADS  Google Scholar 

  43. Lü H, Mei J W, Pope C N. New black holes in five dimensions. Nucl phys B, 2008, 806:436–455

    Article  Google Scholar 

  44. Chong Z W, Cvetic M, Lü H, et al. Non-extremal rotating black holes in five-dimensional gauged supergravity. Phys Lett B, 2007, 644:192–197

    Article  MathSciNet  ADS  Google Scholar 

  45. Kaloper N, March-Russell J, Starkman G D, et al. Compact hyperbolic extra dimensions: branes, Kaluza-Klein modes, and cosmology. Phys Rev Lett 2000, 85:928–931

    Article  MathSciNet  ADS  MATH  Google Scholar 

  46. Randall L, Sundrum R. Large mass hierarchy from a small extra dimension. Phys Rev Lett, 1999, 83:3370–3373

    Article  MathSciNet  ADS  MATH  Google Scholar 

  47. Giddings S B, Thomas S. High energy colliders as black hole factories: The end of short distance physics. Phys Rev D, 2002, 65:056010

    Article  ADS  Google Scholar 

  48. Dimopoulos S, Landsberg G. Black holes at the large hadron collider. Phys Rev Lett, 2001, 87:161602

    Article  ADS  Google Scholar 

  49. Bordalo P, Wurtz A. D-branes in lens spaces. Phys Lett B, 2003, 568:270–280

    Article  MathSciNet  ADS  MATH  Google Scholar 

  50. Giddings S B, Polchinski J, Strominger A. Four dimensional black holes in string theory. Phys Rev D, 1993, 48:5784–5797

    Article  MathSciNet  ADS  Google Scholar 

  51. Elvang H, Emparan R, Mateos D, et al. Supersymmetric 4D rotating black holes from 5D black rings. J High Energy Phys, 2005, 0508:042

    Article  MathSciNet  ADS  Google Scholar 

  52. Ishihara H, Kimura M, Matsuno K, et al. Kaluza-Klein multi-black holes in five-dimensional Einstein-Maxwell theory. Class Quantum Grav, 2006, 23:6919

    Article  MathSciNet  ADS  MATH  Google Scholar 

  53. Chen Y, Teo E. A rotating black lens solution in five dimensions. Phys Rev D, 2008, 78:064062

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to HuiLing Li.

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Li, H. Quantum tunnelling radiation from static and rotating black lenses in five dimensions. Sci. China Phys. Mech. Astron. 55, 2004–2009 (2012). https://doi.org/10.1007/s11433-012-4900-9

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