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On Massive Particle’s Tunneling in the Garfinkle-Horne Dilaton Gravity

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Abstract

In this paper, we start from the Lagrangian analysis on the action to naturally produce the geodesic equation of the massive particle via tunneling. Then, basing on the new definition for the geodesic equation, we revisit the Hawking radiation of the massive particle via tunneling from the Garfinkle-Horne Dilaton black hole. In our treatment, the geodesic equation of the massive particle is defined uniformly with that of the massless particle, which overcomes the shortcomings of its previous definition, and is more suitable for the tunneling mechanism. It is noteworthy that, the highlight of our work is a new and important development of the Parikh-Wilczek’s tunneling method.

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References

  1. Hawking, S.W.: Nature (London) 248, 30 (1974)

    Article  ADS  Google Scholar 

  2. Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)

    Article  ADS  Google Scholar 

  3. Callan Jr., C.G., Maldacena, J.M.: Nucl. Phys. B472, 591 (1996)

    Article  ADS  Google Scholar 

  4. Kraus, P., Wilczek, F.: Nucl. Phys. B433, 403 (1995)

    Article  ADS  Google Scholar 

  5. Kraus, P., Wilczek, F.: Nucl. Phys. B437, 231 (1995)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  7. Parikh, M.K.: Energy Conservation and Hawking radiation, hep-th/0402166

  8. Parikh, M.K.: Phys. Lett. B546, 189 (2002)

    Article  ADS  Google Scholar 

  9. Parikh, M.K.: Int. J. Mod. Phys. D13, 2351 (2004)

    Article  ADS  Google Scholar 

  10. Zhang, J.Y., Zhao, Z.: JHEP 10, 055 (2005)

    Article  ADS  Google Scholar 

  11. Zhang, J.Y., Zhao, Z.: Nucl. Phys. B725, 173 (2005)

    Article  ADS  Google Scholar 

  12. Zhang, J.Y., Zhao, Z.: Phys. Lett. B618, 14 (2005)

    Article  ADS  Google Scholar 

  13. Zhang, J.Y., Zhao, Z.: Mod. Phys. Lett. A20, 1673 (2005)

    Article  ADS  Google Scholar 

  14. Fang, H.Z., Ren, J., Zhao, Z.: Int. J. Mod. Phys. D14, 1699 (2005)

    Article  ADS  Google Scholar 

  15. Hu, Y.P., Zhang, J.J., Zhao, Z.: Mod. Phys. Lett. A21, 2143 (2006)

    Article  ADS  Google Scholar 

  16. Jiang, Q.Q., Wu, S.Q.: Phys. Lett. B635, 151 (2006)

    Article  ADS  Google Scholar 

  17. Jiang, Q.Q., Wu, S.Q., Cai, X.: Phys. Rev. D73, 064003 (2006)

    ADS  Google Scholar 

  18. Wu, S.Q., Jiang, Q.Q.: JHEP 0603, 079 (2006)

    Article  ADS  Google Scholar 

  19. Zhou, S.W., Liu, W.B.: Phys. Rev. D77, 104021 (2008)

    ADS  Google Scholar 

  20. Jiang, Q.Q., Cai, X.: JHEP 0911, 110 (2009)

    Article  ADS  Google Scholar 

  21. Hu, J., Yu, H.: JHEP 1209, 062 (2012)

    Article  ADS  Google Scholar 

  22. Jiang, Q.Q.: Eur. Phys. J. C72, 2086 (2012)

    Article  ADS  Google Scholar 

  23. Hu, Y.P., Zhang, J.J., Zhao, Z.: Mod. Phys. Lett. A21, 2143 (2006)

    Article  ADS  Google Scholar 

  24. Liu, W.B.: Phys. Lett. B634, 541 (2006)

    Article  ADS  Google Scholar 

  25. Ma, Z.Z.: Phys. Lett. B666, 376 (2008)

    Article  ADS  Google Scholar 

  26. Ma, Z.Z.: Phys. Lett. Class. Quant. Grav. 26, 045002 (2009)

    Article  ADS  Google Scholar 

  27. Xu, P., Wang, Z., Han, Y.: Class. Quant. Grav. 28, 125012 (2011)

    Article  ADS  Google Scholar 

  28. Kim, H.: Phys. Lett. B703, 94 (2011)

    Article  ADS  Google Scholar 

  29. Zhao, L.: Commun. Theor. Phys. 47, 835 (2007)

    Article  ADS  Google Scholar 

  30. Gangopadhyay, D., Manna, G.: Europhys. Lett. 100, 49001 (2012)

    Article  ADS  Google Scholar 

  31. Sharif, M., Javed, W.: Eur. Phys. J C72, 1997 (2012)

    Article  ADS  Google Scholar 

  32. Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: JHEP 05, 014 (2005)

    Article  ADS  Google Scholar 

  33. Nadalini, M., Vanzo, L., Zerbini, S.: J. Phys. A39, 6601 (2006)

    ADS  Google Scholar 

  34. Di Criscienzo, R., Nadalini, M., Vanzo, L., Zerbini, S., Zoccatelli, G.: Phys. Lett. B657, 107 (2007)

    Article  ADS  Google Scholar 

  35. Mehdipour, S.H.: Phys. Rev. D81, 124049 (2010)

    ADS  MathSciNet  Google Scholar 

  36. Rahman, M.A., Hossain, M.I.: Phys. Lett. B712, 1 (2012)

    Article  ADS  Google Scholar 

  37. Criscienzo, R.D., Vanzo, L.: Europhys.lett. 82, 60001 (2008)

    Article  Google Scholar 

  38. Li, R., Ren, J.R.: Phys. Lett. B661, 370 (2008)

    Article  ADS  Google Scholar 

  39. Li, R., Ren, J.R.: Class. Quant. Grav. 25, 125016 (2008)

    Article  ADS  Google Scholar 

  40. Kerner, R., Mann, R.B.: Class. Quant. Grav. 25, 095014 (2008)

    Article  ADS  Google Scholar 

  41. Kerner, R., Mann, R.B.: Phys. Lett. B665, 277 (2008)

    Article  ADS  Google Scholar 

  42. Criscienzo, R.D., Hayward, S.A., Nadalini, M., Vanzo, L., Zerbini, S. arXiv:0906.1725 (2009)

  43. Bhattacharya, S., Saha, A.: Gen. Rel. Grav. 42, 1809 (2010)

    Article  ADS  Google Scholar 

  44. Ahmed, J., Saifullah, K.: JCAP 11, 023 (2011)

    Article  ADS  Google Scholar 

  45. Ahmed, J., Saifullah, K.: JCAP 08, 011 (2011)

    Article  ADS  Google Scholar 

  46. Chen, D.Y., Jiang, Q.Q., Zu, X.T.: Phys. Lett. B665, 106 (2008)

    Article  ADS  Google Scholar 

  47. Jiang, Q.Q.: Phys. Rev. D78, 044009 (2008)

    ADS  Google Scholar 

  48. Jiang, Q.Q.: Phys. Lett. B666, 517 (2008)

    Article  ADS  Google Scholar 

  49. Chen, D.Y., Jiang, Q.Q., Yang, S.Z., Zu, X.T.: Class. Quant. Grav. 25, 205022 (2008)

    Article  ADS  Google Scholar 

  50. Li, H.L., Qi, W.Y., Lin, R.: Phys. Lett. B677, 332 (2009)

    Article  ADS  Google Scholar 

  51. Chen, D.Y., Yang, H., Zu, X.T.: Phys. Lett. B681, 463 (2009)

    Article  ADS  Google Scholar 

  52. Lin, K., Yang, S.Z.: Phys. Rev. D79, 064035 (2009)

    ADS  Google Scholar 

  53. Lin, K., Yang, S.Z.: Phys. Lett. B674, 127 (2009)

    Article  ADS  Google Scholar 

  54. Modak, S.K.: Phys. Lett. B671, 167 (2009)

    Article  ADS  Google Scholar 

  55. Majhi, B.R.: Phys. Rev. D79, 044005 (2009)

    ADS  Google Scholar 

  56. Banerjee, R., Majhi, B.R., Roy, D. arXiv:0901.0466

  57. Banerjee, R., Modak, S.K.: JHEP 05, 063 (2009)

    Article  ADS  Google Scholar 

  58. Banerjee, R., Majhi, B.R.: JHEP 06, 095 (2008)

    Article  ADS  Google Scholar 

  59. Banerjee, R., Majhi, B.R., Vagenas, E.C.: Phys. Lett. B686, 279 (2010)

    Article  ADS  Google Scholar 

  60. Cai, R.G., Cao, L.M., Hu, Y.P.: JHEP 08, 090 (2008)

    Article  ADS  Google Scholar 

  61. Zhu, T., Ren, J.R.: Eur. Phys. J. C62, 413 (2009)

    Article  ADS  Google Scholar 

  62. Zhu, T., Ren, J.R., Li, M.F.: JCAP 08, 010 (2009)

    Article  ADS  Google Scholar 

  63. Zhang, J.Y.: Phys. Lett. B668, 353 (2008)

    Article  ADS  Google Scholar 

  64. Banerjee, R., Modak, S.K.: JHEP 11, 073 (2009)

    Article  ADS  Google Scholar 

  65. Banerjee, R., Majhi, B.R.: Phys. Lett. B675, 243 (2009)

    Article  ADS  Google Scholar 

  66. Banerjee, R., Majhi, B.R.: Phys. Lett. B674, 218 (2009)

    Article  ADS  Google Scholar 

  67. Criscienzo, R.D., Vanzo, L., Zerbini, S.: JHEP 05, 092 (2010)

    Article  Google Scholar 

  68. Nozari, K., Saghafi, S.: JHEP 11, 005 (2012)

    Article  ADS  Google Scholar 

  69. Zampeli, A., Singleton, D., Vagenas, E.C.: JHEP 06, 097 (2012)

    Article  ADS  Google Scholar 

  70. Stone, M.: Class. Quant. Grav. 30, 085003 (2013)

    Article  ADS  Google Scholar 

  71. Zhang, B., Cai, Q.Y., You, L., Zhan, M.S.: Phys. Lett. B675, 98 (2009)

    Article  ADS  Google Scholar 

  72. Chen, Y.X., Shao, K.N.: Phys. Lett. B678, 131 (2009)

    Article  ADS  Google Scholar 

  73. Singleton, D., Vagenas, E.C., Zhu, T., Ren, J.R.: JHEP 08, 089 (2010). [Erratum ibid. 1101(2011) 021]

    Article  ADS  Google Scholar 

  74. Kim, S.P.: JHEP 09, 054 (2010)

    Article  ADS  Google Scholar 

  75. Mathur, S.D.: Class. Quant. Grav. 28, 125010 (2011)

    Article  ADS  Google Scholar 

  76. Zhang, B., Cai, Q.Y., Zhan, M.S., You, L.: Phys. Rev. D87, 044006 (2013)

    ADS  Google Scholar 

  77. Majhi, B.R.: Phys. Lett. B686, 49 (2010)

    Article  ADS  Google Scholar 

  78. Banerjee, R., Majhi, B.R., Vagenas, E.C.: Phys. Lett. B686, 279 (2010)

    Article  ADS  Google Scholar 

  79. Jiang, Q.Q., Han, Y., Cai, X.: JHEP 08, 049 (2010). [Erratum ibid. 06 (2012) 120]

    Article  ADS  Google Scholar 

  80. Jiang, Q.Q., Cai, X.: JHEP 11, 066 (2010). [Erratum ibid. 06 (2012) 118]

    Article  ADS  Google Scholar 

  81. Majhi, B.R., Vagenas, E.C.: Phys. Lett. B701, 623 (2011)

    Article  ADS  Google Scholar 

  82. Jiang, Q.Q., Han, Y.: Phys. Lett. B718, 584 (2012)

    Article  ADS  Google Scholar 

  83. Jiang, Q.Q., Yang, S.Z., Wu, S.Q.: Int. J. Theor. Phys. 45, 2274 (2006)

    Article  Google Scholar 

  84. Jiang, Q.Q., Yang, S.Z., Li, H.L.: Int. J. Theor. Phys. 45, 1757 (2006)

    Article  Google Scholar 

  85. Jiang, Q.Q., Ren, W., Tang, J., Liu, X.F.: Int. J. Theor. Phys. 46, 1449 (2007)

    Article  Google Scholar 

  86. Yang, S.Z., Jiang, Q.Q., Li, H.L.: Int. J. Theor. Phys. 46, 625 (2007)

    Article  Google Scholar 

  87. Yang, S.Z., Jiang, Q.Q.: Int. J. Theor. Phys. 46, 2138 (2007)

    Article  Google Scholar 

  88. Pu, J., Han, Y.: Int. J. Theor. Phys. 55, 5077 (2016)

    Article  Google Scholar 

  89. Pu, J., Han, Y.: Int. J. Theor. Phys. 56 (2017)

  90. Pu, J., Han, Y.: Int. J. Theor. Phys. 56 (2017)

  91. Garfinkle, D., Horowitz, G.T., Strominger, A.: Phys. Rev. D43, 3140 (1991)

    ADS  Google Scholar 

  92. Chandrasekhar, S.: The Mathematical Theory of Black Holes. Oxford University Press, Oxford (1992)

    MATH  Google Scholar 

  93. Gao, C.J., Shen, Y.F.: Phys. Rev. D65, 084043 (2002)

    ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by the Program for NCET-12-1060, by the Sichuan Youth Science and Technology Foundation with Grant No. 2011JQ0019, and by FANEDD with Grant No. 201319, and by the Innovative Research Team in College of Sichuan Province with Grant No. 13TD0003, and by Sichuan Natural Science Foundation with Grant No. 16ZB0178, and by the starting fund of China West Normal University with Grant No. 14D014.

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Authors and Affiliations

  1. State-Owned Assets Administrative Office, China West Normal University, Nanchong, 637002, China

    Jing Fu

  2. Institute of Theoretical Physics, China West Normal University, Nanchong, 637002, China

    Jin Pu

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  1. Jing Fu
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  2. Jin Pu
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Correspondence to Jing Fu.

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Fu, J., Pu, J. On Massive Particle’s Tunneling in the Garfinkle-Horne Dilaton Gravity. Int J Theor Phys 56, 2325–2334 (2017). https://doi.org/10.1007/s10773-017-3385-8

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