Back
 JAMP  Vol.3 No.8 , August 2015
Modified Tunneling Radiation of Fermions from a Spherically Symmetric Spacetime with Dark Matter
Abstract: In the paper, we use the generalized Dirac equation to study the Hawking temperature and entropy of a spherically symmetric spacetime with the dark matter. The results show that the dark matter can influence the thermodynamic properties of the black hole. Meanwhile, we find the GUP corrected temperature and entropy are not only determined by the nature of black but also related to the properties of tunneling particles. Besides, the GUP can slow down the increase of Hawking temperature and causes the remnants.
Cite this paper: Feng, Z. and Zu, X. (2015) Modified Tunneling Radiation of Fermions from a Spherically Symmetric Spacetime with Dark Matter. Journal of Applied Mathematics and Physics, 3, 931-936. doi: 10.4236/jamp.2015.38113.
References

[1]   Hawking, S.W. (1974) Particle Creation by Black Holes. Communications in Mathematical Physics, 43, 199. http://dx.doi.org/10.1007/BF02345020

[2]   Sannan, S. (1988) Heuristic Derivation of the Probability Distributions of Particles Emitted by a Black Hole. General Relativity and Gravitation, 20, 239. http://dx.doi.org/10.1007/BF00759183

[3]   Jiang, Q.Q. (2008) Fermions Tunnelling from GHS and Non-Extremal D1-D5 Black Holes. Physics Letters B, 666, 517. http://dx.doi.org/10.1016/j.physletb.2008.08.005

[4]   Jiang, Q.Q., Han, Y. and Cai, X. (2010) Quantum Corrections and Black Hole Spectroscopy. Journal of High Energy Physics, 49, 49. http://dx.doi.org/10.1007/JHEP08(2010)049

[5]   Parikh, M.K. and Wilczek, F. (2000) Hawking Radiation as Tunneling. Physical Review Letters, 85, 5042. http://dx.doi.org/10.1103/PhysRevLett.85.5042

[6]   Kerner, R. and Mann, R.B. (2008) Fermions Tunnelling from Black Holes. Classical and Quantum Gravity, 25, Article ID: 095014. http://dx.doi.org/10.1088/0264-9381/25/9/095014

[7]   Susskind, L. (2006) The Paradox of Quantum Black Holes. Nature Physics, 2, 665. http://dx.doi.org/10.1038/nphys429

[8]   Susskind, L. (1995) The World as a Hologram. Journal of Mathematical Physics, 36, 6377. http://dx.doi.org/10.1063/1.531249

[9]   Chen, D.Y., Jiang, Q.Q., Wang, P. and Yang, H. (2013) Remnants, Fermions’ Tunnelling and Effects of Quantum Gravity. Journal of High Energy Physics, 11, 176. http://dx.doi.org/10.1007/JHEP11(2013)176

[10]   Chen, D.Y., Wu, H.W. and Yang, H.T. (2013) Fermion’s Tunnelling with Effects of Quantum Gravity. Advances in High Energy Physics, 2013, Article ID: 432412. http://dx.doi.org/10.1155/2013/432412

[11]   Chen, D.Y., Wu, H.W. and Yang, H.T. (2014) Observing Remnants by Fermions’ Tunneling. Journal of Cosmology and Astroparticle Physics, 3, 36. http://dx.doi.org/10.1088/1475-7516/2014/03/036

[12]   Townsend, P.K. (1977) Small-Scale Structure of Spacetime as the Origin of the Gravitational Constant. Physics Review D, 5, 2795. http://dx.doi.org/10.1103/PhysRevD.15.2795

[13]   Garay, L.J. (1995) Quantum Gravity and Minimum Length. Inter-national Journal of Modern Physics A, 10, 145-166. http://dx.doi.org/10.1142/S0217751X95000085

[14]   Kempf, A., Mangano, G. and Mann, R.B. (1995) Hilbert-Space Representation of the Minimal Length Uncertainty Relation. Physics Review D, 52, 1108. http://dx.doi.org/10.1103/PhysRevD.52.1108

[15]   Chen, D.Y., Wu, H.W., Yang, H.T. and Yang, S.Z. (2014) Effects of Quantum Gravity on Black Holes. International Journal of Modern Physics A, 29, Article ID: 1430054. http://dx.doi.org/10.1142/s0217751x14300543

[16]   Banerjee, R. and Ghosh, S. (2010) Generalised Uncertainty Prin-ciple, Remnant Mass and Singularity Problem in Black Hole Thermodynamics. Physics Letters B, 688, 224. http://dx.doi.org/10.1016/j.physletb.2010.04.008

[17]   Nozari, K. and Saghafi, S. (2012) Natural Cutoffs and Quantum Tunneling from Black Hole Horizon. Journal of High Energy Physics, 11, 5. http://dx.doi.org/10.1007/JHEP11(2012)005

[18]   Heydari-Fard, M., Razmi, H. and Sepangi, H.R. (2007) Brane-World Black Hole Solutions via a Confining Potential. Physics Review D, 76, 535. http://dx.doi.org/10.1103/PhysRevD.76.066002

[19]   Shahidi, S. and Sepangi, H.R. (2012) Braneworlds and Dark Matter. International Journal of Modern Physics D, 20, 77. http://dx.doi.org/10.1142/S0218271811018627

[20]   Chen, D.Y. and Li, Z.H. (2014) Remarks on Remnants by Fermions’ Tunnelling from Black Strings. Advances in High Energy Physics, 2014, Article ID: 620157. http://dx.doi.org/10.1155/2014/620157

[21]   Gangopadhyay, S. Minimal Length Effects in Black Hole Thermodynamics from Tunneling Formalism. arXiv:1405.4229.

[22]   Kuchiev, M.Y. and Flambaum, V.V. (2003) Scattering of Scalar Particles by a Black Hole. Physics Review D, 70, 636.

[23]   Majumder, B. (2013) Black Hole Entropy with Minimal Length in Tunneling For-malism. General Relativity and Gravitation, 45, 2403. http://dx.doi.org/10.1007/s10714-013-1581-2

 
 
Top