Abstract
A direct method for calculating the temperature of a hawking particle is carried out. Study of the quantum gravity effects on the hawking radiation is made by imposing a generalized time energy uncertainty principle. It is shown that the Hawking radiation of mini black hole is hotter than the hawking calculations.
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Adler, R.J., Santiago, D.I.: On gravity and the uncertainty principle. Mod. Phys. Lett. A 14, 1371–1381 (1999)
Adler, R.J., Chen, P., Santiago, D.I.: The generalized uncertainty principle and black hole remnants. Gen. Relativ. Gravit. 33, 2101–2108 (2001)
Amati, D., Ciafaloni, M., Veneziano, G.: Can spacetime be probed below the string size. Phys. Lett. B 216, 41–47 (1989)
Amelino-Camelia, G., Arzano, M., Ling, Y., Mandanici, G.: Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles. Class. Quantum Gravity 23, 2585–2606 (2006)
Anchordoqui, L., Goldberg, H.: Black hole chromosphere at the CERN LHC. Phys. Rev. D 67, 064010 (2003)
Cavaglia, M., Godang, R., Cremaldi, L.M., Summers, D.J.: Signatures of black holes at the LHC. J. High Energy Phys. (2007)
Dehghani, M., Farmany, A.: Higher dimensional black hole radiation and a generalized uncertainty principle. Phys. Lett. B 675, 460–462 (2009a)
Dehghani, M., Farmany, A.: GUP and higher dimensional Reissner-Nordstroem black hole radiation. Braz. J. Phys. 39, 570–573 (2009b)
Dimopoulos, S., Landsberg, G.: Black holes at the large hadron collider. Phys. Rev. Lett. 87, 161602 (2001)
Farmany, A., Dehghani, M.: Thermodynamics of LHC-black holes: A review. J. Appl. Sci. 10, 2491–2492 (2010)
Farmany, A., Abbasi, S., Naghipour, A.: Probing the natural broadening of hydrogen atom spectrum based on the minimal length uncertainty. Phys. Lett. B 650, 33–35 (2007)
Farmany, A., Abbasi, S., Naghipour, A.: Correction to the higher dimensional black hole entropy. Acta Phys. Pol. 114, 651–655 (2008)
Giddings, B., Thomas, S.: High energy colliders as black hole factories: The end of short distance physics. Phys. Rev. D 65, 056010 (2002)
Kempf, A., Managano, G.: Minimal length uncertainty relation and ultraviolet regularization. Phys. Rev. D 55, 7909–7920 (1997)
Maggiore, M.: Quantum groups, gravity and the generalized uncertainty principle. Phys. Rev. D 49, 5182–5187 (1994)
Myung, Y.S., Kim, Y.W., Park, Y.J.: Black hole thermodynamics with generalized uncertainty principle. Phys. Lett. B 645, 393–397 (2007)
Nouicer, K.: Quantum-corrected black hole thermodynamics to all orders in the Planck length. Phys. Lett. B 646, 63–71 (2007)
Setare, M.R.: Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle. Phys. Rev. D 70, 087501 (2004)
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Farmany, A., Noorizadeh, H. & Mortazavi, S.S. Generalized time-energy uncertainty and temperature of mini black holes. Astrophys Space Sci 334, 161–163 (2011). https://doi.org/10.1007/s10509-011-0694-x
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DOI: https://doi.org/10.1007/s10509-011-0694-x