Abstract
We investigate the effects of a modified dispersion relation proposed by Majhi and Vagenas on the Reissner–Nordström black hole thermodynamics in a universe with large extra dimensions. It is shown that entropy, temperature and heat capacity receive new corrections and charged black holes in this framework have less degrees of freedom and decay faster compared to black holes in the Hawking picture. We also study the emission rate of black hole and compare our results with other quantum gravity approaches. In this regard, the existence of the logarithmic prefactor and the relation between dimensions and charge are discussed. This procedure is not only valid for a single horizon spacetime but it is also valid for the spacetimes with inner and outer horizons.
Similar content being viewed by others
References
Veneziano, G.: Europhys. Lett. 2, 199 (1986)
Garay, L.J.: Int. J. Mod. Phys. A 10, 145 (1995)
Capozziello, S., Lambiase, G., Scarpetta, G.: Int. J. Theor. Phys. 39, 15 (2000)
Meissner, K.A.: Class. Quantum Gravity 21, 5245 (2004)
Adler, R.J., Chen, P., Santiago, D.I.: Gen. Relativ. Gravit. 33, 2101 (2001)
Kempf, A., Mangano, G., Mann, R.B.: Phys. Rev. D 52, 1108 (1995)
Magueijo, J., Smolin, L.: Phys. Rev. D 71, 026010 (2005)
Amelino-Camelia, G.: Int. J. Mod. Phys. D 11, 35 (2002)
Das, S., Vagenas, E.C.: Phys. Rev. Lett. 101, 221301 (2008)
Ali, A.F., Das, S., Vagenas, E.C.: Phys. Lett. B 678, 497 (2009)
Das, S., Vagenas, E.C., Ali, A.F.: Phys. Lett. B 690, 407 (2010)
Nozari, K., Etemadi, A.: Phys. Rev. D 85, 10 (2012)
Pedram, P., Nozari, K., Taheri, S.H.: J. High Energy Phys. 1103, 093 (2011)
Amelino-Camelia, G.: Nature 410, 1065 (2001)
Magueijo, J., Smolin, L.: Phys. Rev. D 67, 044017 (2003)
Hooft, G.: Class. Quantum Gravity 13, 1023 (1996)
Kaul, R.K., Majumdar, P.: Phys. Rev. Lett. 84, 5255 (2000)
Medved, A.J.M., Vagenas, E.C.: Phys. Rev. D 70, 124021 (2004)
Domagala, M., Lewandowski, J.: Class. Quantum Gravity 21, 5233 (2004)
Akbar, M.M., Das, S.: Class. Quantum Gravity 21, 1383 (2004)
Sefiedgar, A.S., Sepangi, H.R.: Phys. Lett. B 692, 281 (2010)
Sefiedgar, A.S., Nozari, K., Sepangi, H.R.: Phys. Lett. B 696, 119 (2011)
Sefiedgar, A.S., Sepangi, H.R.: Phys. Lett. B 706, 431 (2012)
Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999)
Arkani-Hamed, N., Dimopoulos, S., Dvali, G.: Phys. Rev. D 59, 086004 (1999)
Dvali, G., Gabadadze, G., Porrati, M.: Phys. Lett. B 485, 208 (2000)
Meade, P., Randall, L.: J. High Energy Phys. 0805, 003 (2008)
Amelino-Camelia, G., Arzano, M., Ling, Y., Mandanica, G.: Class. Quantum Gravity 23, 2585 (2006)
Majumder, B.: Phys. Lett. B 703, 402 (2011)
Majhi, B.R., Vagenas, E.C.: Phys. Lett. B 725, 477 (2013)
Amelino-Camelia, G., Arzano, M., Procaccini, A.: Phys. Rev. D 70, 10 (2004)
Amelino-Camelia, G.: Living Rev. Relat. 16, 5 (2013)
Altamirano, N., Kubiznak, D., Mann, R.B., Sherkatghanad, Z.: Galaxies 2, 89 (2014)
Miao, Y.G., Xue, Z., Zhang, S.J.: Europhys. Lett. 96, 10008 (2011)
Aman, J.E., Pidokrajt, N.: Phys. Rev. D 73, 024017 (2006)
Christodoulou, D., Ruffini, R.: Phys. Rev. D 4, 3352 (1971)
Nozari, K., Mehdipour, S.H.: Int. J. Mod. Phys. A 21, 4979 (2005)
Soltani, H., Damavandi Kamali, A., Nozari, K.: Adv. High Energy Phys 2014, 247208 (2014)
Nozari, K., Saghafi, S., Damavandi, A.: Astrophys. Space Sci. 357, 140 (2015)
Majhi, B.R., Samanta, S.: Ann. of Phys. 325, 11 (2010)
Majhi, B.R.: Phys. Rev. D 79, 4 (2009)
Banerjee, R., Majhi, B.R.: Phys. Lett. B 674, 3 (2009)
Banerjee, R., Majhi, B.R.: J. High Energy Phys. 2008, 06 (2008)
Banerjee, R., Majhi, B.R.: Phys. Lett. B 662, 1 (2008)
Banerjee, R., Majhi, B.R., Samanta, S.: Phys. Rev. D 77, 12 (2008)
Hai-Xia, Z., Huai-Fan, L., Shuang-Qi, H., Ren, Z.: Commun. Theor. Phys. 48, 465 (2007)
Nozari, K., Mehdipour, S.H.: Class. Quantum Gravity 25, 175015 (2008)
Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: J. High Energy Phys. 0505, 014 (2005)
Nozari, K., Fazlpour, B.: Acta Phys. Polon. B 39, 1363 (2008)
Nozari, K., Islamzadeh, S.: Astrophys. Space Sci. 347, 2 (2013)
Nozari, K., Mehdipour Chaos, S.: Solitons Fractals 39, 2 (2009)
Cavaglia, M.: Phys. Lett. B 569, 7 (2003)
Emparan, R., Horowitz, G.T., Myers, R.C.: Phys. Rev. Lett. 85, 499 (2000)
Cavaglia, M., Das, S.: Class. Quantum Gravity 21, 19 (2004)
Cavaglia, M., Das, S., Maartens, R.: Class. Quantum Gravity 20, 205 (2003)
Cavaglia, M., Das, S.: Class. Quantum Gravity 21, 4511 (2004)
Ali, A.F.: J. High Energy Phys. 1209, 067 (2012)
Ali, A.F., Faizal, M., Khalil, M.M.: Nucl. Phys. B 894, 341 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kamali, A.D., Pedram, P. Radiation of charged black holes and modified dispersion relation. Gen Relativ Gravit 48, 58 (2016). https://doi.org/10.1007/s10714-016-2052-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10714-016-2052-3