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Massive vector bosons tunnelled from the (2+1)-dimensional black holes

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Abstract.

In this study, we investigate the Hawking radiation from three-dimensional New-type black hole and Warped-AdS3 black hole by using the quantum tunnelling properties of a massive spin-1 particle, i.e. a massive vector boson. Using the Hamilton-Jacobi method, we calculate the tunnelling probabilities and the Hawking temperature of the escaping massive spin-1 vector particle from the black holes. From these results, we see that the massive vector boson tunnels the same as a scalar and a Dirac particle from these black holes.

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References

  1. J.M. Greif, Junior Thesis, Princeton University (1969)

  2. B. Carter, Nature 238, 71 (1972)

    Article  ADS  Google Scholar 

  3. J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  4. S.W. Hawking, Nature 248, 30 (1974)

    Article  ADS  Google Scholar 

  5. S.W. Hawking, Commun. Math. Pyhs. 43, 199 (1975)

    Article  ADS  Google Scholar 

  6. S.W. Hawking, Phys. Rev. D 13, 191 (1976)

    Article  ADS  Google Scholar 

  7. J.D. Bekenstein, Phys. Rev. D 9, 3292 (1974)

    Article  ADS  Google Scholar 

  8. J.M. Bardeen, B. Carter, S.W. Hawking, Commun. Math. Phys. 31, 161 (1973)

    Article  ADS  Google Scholar 

  9. P. Kraus, F. Wilczek, Nucl. Phys. B 437, 231 (1995)

    Article  ADS  Google Scholar 

  10. P. Kraus, F. Wilczek, Nucl. Phys. B 433, 403 (1995)

    Article  ADS  Google Scholar 

  11. M.K. Parikh, F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  12. R. Kerner, R.B. Mann, Phys. Rev. D 73, 104010 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  13. R. Kerner, R.B. Mann, Class. Quantum Grav. 25, 095014 (2008)

    Article  ADS  Google Scholar 

  14. D.Y. Chen, Q.Q. Jian, X.T. Zu, Class. Quantum Grav. 25, 205022 (2008)

    Article  ADS  Google Scholar 

  15. J. Zhang, Z. Zhao, Phys. Lett. B 638, 110 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  16. J. Huang, W. Liu, Int. J. Theor. Phys. 49, 2621 (2010)

    Article  Google Scholar 

  17. X.X. Zeng, Q. Li, Chin. Phys. B 18, 11 (2009)

    Google Scholar 

  18. R.R. Criscienzo, L.L. Vanzo, EPL 82, 6001 (2008)

    Article  Google Scholar 

  19. D.Y. Chen, Q.Q. Jiang, X.T. Zu, Phys. Lett. B 665, 106 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  20. Q.Q. Jiang, Phys. Rev. D 78, 044009 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  21. R. Li, J.K. Zhao, X.H. Wu, Commun. Theor. Phys. 66, 77 (2016)

    Article  ADS  Google Scholar 

  22. R. Li, J.R. Ren, Phys. Lett. B 661, 370 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  23. H.L. Li, S.Z. Yang, Q.Q. Jiang, D.J. Qi, Phys. Lett. B 641, 139 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  24. S.I. Kruglov, Mod. Phys. Lett. A 29, 1450203 (2014)

    Article  ADS  Google Scholar 

  25. H. Gursel, I. Sakalli, Can. J. Phys. 94, 147 (2016)

    Article  ADS  Google Scholar 

  26. I. Sakalli, A. Ovgun, J. Exp. Theor. Phys. 121, 404 (2015)

    Article  ADS  Google Scholar 

  27. G.R. Chen, S. Zhou, Y.C. Huang, Int. J. Mod. Phys. D 24, 1550005 (2015)

    Article  ADS  Google Scholar 

  28. G.R. Chen, Y.C. Huang, Int. J. Mod. Phys. A 30, 1550083 (2015)

    Article  ADS  Google Scholar 

  29. X.Q. Li, G.R. Chen, Phys. Lett. B 751, 34 (2015)

    Article  ADS  Google Scholar 

  30. A. Ovgun, K. Jusufi, Eur. Phys. J. Plus 131, 177 (2016)

    Article  Google Scholar 

  31. I. Sakalli, A. Ovgun, Gen. Relativ. Gravit. 48, 1 (2016)

    Article  ADS  Google Scholar 

  32. G.R. Chen, S. Zhou, Y.C. Huang, Astrophys. Space Sci. 357, 51 (2015)

    Article  ADS  Google Scholar 

  33. S. Deser, R. Jackiw, G.'t Hooft, Ann. Phys. 152, 220 (1984)

    Article  ADS  Google Scholar 

  34. E. Witten, Nucl. Phys. B 311, 46 (1988)

    Article  ADS  Google Scholar 

  35. M. Banados, C. Teitelboim, J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  36. S. Carlip, Quantum Gravity in 2+1 Dimensions (Cambridge University Press, 1998)

  37. S. Deser, R. Jackiw, S. Templeton, Phys. Rev. Lett. 48, 975 (1982)

    Article  ADS  Google Scholar 

  38. E.A. Bergshoeff, O. Hohm, P.K. Townsend, Phys. Rev. Lett. 102, 201301 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  39. G. Clement, Class. Quantum Grav. 26, 165002 (2009)

    Article  ADS  Google Scholar 

  40. G. Clement, Class. Quantum Grav. 26, 105015 (2009)

    Article  ADS  Google Scholar 

  41. H. Ahmedov, A.N. Aliev, Phys. Rev. D 83, 084032 (2011)

    Article  ADS  Google Scholar 

  42. I. Bakas, C. Sourdis, Class. Quantum Grav. 28, 015012 (2011)

    Article  ADS  Google Scholar 

  43. H. Ahmedov, A.N. Aliev, Phys. Lett. B 694, 143 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  44. Y. Kwon, S. Nam, J. Park, S. Yi, Class. Quantum Grav. 28, 145006 (2011)

    Article  ADS  Google Scholar 

  45. K.A. Moussa, G. Clement, C. Leygnac, Class. Quantum Grav. 20, L277 (2003)

    Article  ADS  Google Scholar 

  46. G. Gecim, Y. Sucu, JCAP 02, 023 (2013)

    Article  ADS  Google Scholar 

  47. G. Gecim, Y. Sucu, Astrophys. Space Sci. 357, 105 (2015)

    Article  ADS  Google Scholar 

  48. M. Dernek, S. Gurtas Dogan, Y. Sucu, N. Unal, arXiv:1606.03296v1 (2016)

  49. Y. Sucu, N. Unal, Eur. Phys. J. C 44, 287291 (2005)

    Article  Google Scholar 

  50. A.O. Barut, Phys. Lett. B 237, 436 (1990)

    Article  ADS  Google Scholar 

  51. N. Unal, Found. Phys. 27, 747 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  52. N. Unal, Found. Phys. 27, 731 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  53. N. Unal, Found. Phys. 28, 755 (1998)

    Article  MathSciNet  Google Scholar 

  54. Y. Sucu, N. Unal, Int. J. Mod. Phys. A 17, 1137 (2014)

    Article  ADS  Google Scholar 

  55. R.E. Kozack, B.C. Clark, S. Hama, V.K. Mishra, R.L. Mercer, L. Ray, Phys. Rev. C 40, 2181 (1989)

    Article  ADS  Google Scholar 

  56. T.R. Cardoso, L.B. Castro, A.S. de Castro, J. Phys. A: Math. Theor. 43, 055306 (2010)

    Article  ADS  Google Scholar 

  57. V.K. Mishra, S. Hama, B.C. Clark, R.E. Kozack, R.L. Mercer, L. Ray, Phys. Rev. C 43, 801 (1991)

    Article  ADS  Google Scholar 

  58. L.B. Castro, L.P. de Oliveira, Adv. High Energy Phys. 2014, 784072 (2014)

    Article  Google Scholar 

  59. Y. Sucu, N. Unal, J. Math. Phys. 48, 052503 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  60. K. Lin, S.Z. Yang, Chin. Phys. B V 20, 110403 (2011)

    Article  ADS  Google Scholar 

  61. P. Mitra, Phys. Lett. B 648, 240 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  62. S. Chandrasekhar, Phys. Rev. Lett. 24, 611 (1970)

    Article  ADS  Google Scholar 

  63. J.L. Friedman, B.F. Schutz, Astrophys. J. 222, 281 (1978)

    Article  ADS  Google Scholar 

  64. W.B. Campbell, Phys. Rev. D 2, 2123 (1970)

    Article  ADS  Google Scholar 

  65. K. Nozari, M. Karami, Mod. Phys. Lett. A 20, 3095 (2005)

    Article  ADS  Google Scholar 

  66. D. Chen, H. Wu, H. Yang, Adv. High Energy Phys. 2013, 432412 (2013)

    Google Scholar 

  67. D. Chen, Q.Q. Jiang, P. Wang, H. Yang, J. High Energy Phys. 11, 176 (2013)

    Article  ADS  Google Scholar 

  68. D.Y. Chen, H.W. Wu, H. Yang, J. Cosmol. Astropart. Phys. 03, 036 (2014)

    Article  ADS  Google Scholar 

  69. D. Chen, H. Wu, H. Yang, S. Yang, Int. J. Mod. Phys. A 29, 1430054 (2014)

    Article  ADS  Google Scholar 

  70. X.X. Zeng, Y. Chen, Gen. Relativ. Gravit. 47, 47 (2015)

    Article  ADS  Google Scholar 

  71. H.L. Li, Z.W. Feng, X.T. Zu, Gen. Relativ. Gravit. 48, 18 (2016)

    Article  ADS  Google Scholar 

  72. P. Wang, H. Yang, S. Ying, Int. J. Theor. Phys. 55, 2633 (2016)

    Article  Google Scholar 

  73. Z.Y. Liu, J.R. Ren, Commun. Theor. Phys. 62, 819 (2014)

    Article  ADS  Google Scholar 

  74. B. Mu, P. Wang, H. Yang, Adv. High Energy Phys. 2015, 898916 (2015)

    Article  Google Scholar 

  75. G. Li, X. Zu, IJAMP 03, 134 (2015)

    Google Scholar 

  76. M.A. Anacleto, F.A. Brito, E. Passos, Phys. Lett. B 749, 181 (2015)

    Article  ADS  Google Scholar 

  77. G. Gecim, Y. Sucu, submitted to Phys. Lett. B

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Gecim, G., Sucu, Y. Massive vector bosons tunnelled from the (2+1)-dimensional black holes. Eur. Phys. J. Plus 132, 105 (2017). https://doi.org/10.1140/epjp/i2017-11391-2

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