Quantum Statistical Entropy of Dielectric Black Hole
Tóm tắt
Using the new equation of state density from the generalized uncertainty principle in quantum gravity, we study statistical entropy of a dielectric black hole. When λ introduced in the generalized uncertainty principle takes a specific value, we find that the leading term of the statistical entropy of the dielectric black hole takes the Bekenstein-Hawking entropy form. In addition a finite correction term is also obtained. Comparing with the original brick-wall model, in our calculation there is no divergence and the small mass approximation is also not needed.
Tài liệu tham khảo
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
Damoar, T., Ruffini, R.: Phys. Rev. D 14, 332 (1976)
Sannan, S.: Gen. Relativ. Gravit. 20, 239 (1988)
Robinson, S.P., Wilczek, F.: Phys. Rev. Lett. 95, 011303 (2005)
Iso, H., Umetsu, S., Wilczek, F.: Phys. Rev. Lett. 96, 151302 (2006)
Banerjee, R., Majhi, B.R.: Phys. Rev. D 79, 064024 (2009)
Banerjee, R., Kulkarni, S.: Phys. Rev. D 79, 084035 (2009)
Papantonnopoulos, E., Skamagoulis, P.: Phys. Rev. D 79, 084022 (2009)
Zhao, R., Wu, Y.Q., Zhang, L.C., Li, H.F.: Eur. Phys. J. C 60, 685 (2009)
Banerjee, R., Gangopadhyay, S., Modak, S.K.: Phys. Lett. B 686, 181 (2010)
Banerjee, R., Modak, S.K.: J. High Energy Phys. 0905, 063 (2009)
Zhao, R., Zhang, L.C., Li, H.F.: Gen. Relativ. Gravit. 42, 975 (2010)
Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2000)
Tanwi, G., Soumitra, S.: Phys. Lett. B 696, 167 (2011)
Unruh, W.: Phys. Rev. Lett. 46, 1351 (1981)
Belgiorno, F., Cacciatori, S.L., Clerici, M., Gorini, V., Ortenzi, G., Rizzi, L., Rubino, E., Sala, V.G., Faccio, D.: Phys. Rev. Lett. 105, 203901 (2010)
Belgiorno, F., Cacciatori, S.L., Ortenzi, G., Sala, V.G., Faccio, D.: Phys. Rev. Lett. 104, 140403 (2010)
Faccio, D., Cacciatori, S.L., Gorini, V., Sala, V.G., Averchi, A., Lotti, A., Clerici, M., Moloney, J.V.: Europhys. Lett. 89, 34004 (2010)
Schutzhold, R., Unruh, W.G.: Comment on: Hawking radiation from ultrashort laser pulse filaments. ArXiv:1012.2686 [hep-th]
Philbin, T.G., Kuklewicz, C., Robertson, S., Hill, S., Konig, F., Leonhardt, U.: Science 319, 1367 (2008)
Belgiorno, F., Cacciatori, S.L., Ortenzi, G., Rizzi, L., Gorini, V., Faccio, D.: Phys. Rev. D 83, 024015 (2011)
Zhang, L.C., Li, H.F., Zhao, R.: Phys. Lett. B 698, 438 (2011)
Zhao, R., Zhang, L.C.: Astrophys. Space Sci. 338, 295 (2012)
Massimiliano, R.: Phys. Rev. D 84, 124009 (2011)
Giovanazzi, S.: Phys. Rev. Lett. 106, 011302 (2011)
’t Hooft, G.: Nucl. Phys. B 256, 727 (1985)
Li, X., Zhao, Z.: Phys. Rev. D 62, 104001 (2000)
He, F., Zhao, Z., Kim, S.W.: Phys. Rev. D 64, 044025 (2001)
Gao, C.J., Shen, Y.G.: Phys. Rev. D 65, 084043 (2002)
Cheng, L.N., Minic, D., Okamura, N., Takeuchi, T.: Phys. Rev. D 65, 125028 (2002)
Nouicer, K.: Phys. Lett. B 646, 63 (2007)
Setare, M.R.: Phys. Rev. D 70, 087501 (2004)
Medved, A.J.M., Vagenas, E.C.: Phys. Rev. D 70, 124021 (2004)
Yoon, M., Ha, J., Kim, W.: Phys. Rev. D 76, 047501 (2007)
Kim, Y.W., Park, Y.J.: Phys. Lett. B 655, 172 (2007)
Zhao, R., Zhang, J.F., Zhang, L.C.: Nucl. Phys. B 609, 247 (2001)
Zhao, R., Wu, Y.Q., Zhang, L.C.: Class. Quantum Gravity 20, 4885 (2003)
Tolman, R.C.: Relativity, Thermodynamics and Cosmology. Dover, New York (1987)