Abstract
Recent studies (Steinhauer in Nat. Phys. 10:864, 2014, Phys. Rev. D 92:024043, 2015) provide compelling evidences that Hawking radiation could be experimentally proven by using an analogue black hole. In this paper, taking this situation into account we study the quantum gravitational effects on the Hawking radiation of rotating acoustic black holes. For this purpose, we consider the generalized uncertainty principle (GUP) in the phenomenon of quantum tunneling. We firstly take the modified commutation relations into account to compute the GUP modified Hawking temperature when the massive scalar particles tunnel from this black hole. Then, we find a remarkably instructive expression for the GUP entropy to derive the quantum gravity corrected Hawking temperature of the rotating acoustic black hole.
Similar content being viewed by others
References
Akbar, M.: Chin. Phys. Lett. 24, 1158 (2007)
Akhmedova, V., Pilling, T., de Gill, A., Singleton, D.: Phys. Lett. B 666, 269 (2008)
Akhmedova, V., Pilling, T., de Gill, A., Singleton, D.: Phys. Lett. B 673, 227 (2009)
Ali, F.A., Das, S., Vagenas, E.C.: Phys. Lett. B 678, 497 (2009)
Anacleto, M.A., Brito, F.A., Passos, E.: Phys. Lett. B 694, 149 (2010)
Anacleto, M.A., Brito, F.A., Passos, E.: Phys. Lett. B 703, 609 (2011)
Anacleto, M.A., Brito, F.A., Passos, E.: Phys. Lett. B 749, 181 (2015a)
Anacleto, M.A., Brito, F.A., Luna, G.C., Passos, E., Spinelly, J.: Ann. Phys. 362, 436 (2015b)
Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: J. High Energy Phys. 0505, 037 (2005)
Arzano, M., Medved, A.J.M., Vagenas, E.C.: J. High Energy Phys. 0509, 037 (2005)
Banados, M., Teitelboim, C., Zanelli, J.: Phys. Rev. Lett. 69, 1849 (1992)
Banados, M., Henneaux, M., Teitelboim, C., Zanelli, J.: Phys. Rev. D 48, 1506 (1993)
Banerjee, R., Majhi, B.R.: J. High Energy Phys. 0806, 095 (2008)
Bardeen, J.M., Petterson, J.A.: Astrophys. J. Lett. 195, L65 (1975)
Bekenstein, J.D.: Lett. Nuovo Cimento 4, 737 (1972)
Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Bekenstein, J.D.: Phys. Rev. D 9, 3292 (1974)
Bekenstein, J.D.: Phys. Rev. D 12, 3077 (1975)
Carbonaro, P.: Class. Quantum Gravity 32, 175001 (2015)
Chen, D.: Eur. Phys. J. C 74, 2687 (2014)
Chen, D., Wu, H., Yang, H., Yang, S.: Int. J. Mod. Phys. A 29, 1430054 (2014a)
Chen, D.Y., Wu, H.W., Yang, H.: J. Cosmol. Astropart. Phys. 03, 036 (2014b)
Corley, S., Jacobson, T.: Phys. Rev. D 59, 124011 (1999)
Gullstrand, A.: Ark. Mat. Astron. Fys. 16, 1 (1922)
Hamilton, A.J.S., Lisle, J.P.: Am. J. Phys. 76, 519 (2008)
Hawking, S.W.: Phys. Rev. Lett. 26, 1344 (1971)
Hawking, S.W.: Nature 248, 30 (1974)
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975). Erratum-ibid, 46, 206 (1976)
Hawking, S.W.: Phys. Rev. D 13, 191 (1976)
Helfer, A.D.: Rep. Prog. Phys. 66, 943 (2003)
Iorio, A.: Int. J. Mod. Phys. D 24, 1530013 (2015)
Kanai, Y., Siino, M., Hosoya, A.: Prog. Theor. Phys. 125, 1053 (2011)
Kaul, R.K., Majumdar, P.: Phys. Rev. Lett. 84, 5255 (2000)
Kempf, A., Mangano, G., Mann, R.B.: Phys. Rev. D 52, 1108 (1995)
Kraus, P., Wilczek, F.: Nucl. Phys. B 433, 403 (1995a)
Kraus, P., Wilczek, F.: Nucl. Phys. B 437, 231 (1995b)
Leonhardt, U.: Nature 415, 406 (2002)
Li-Chun, Z., Huai-Fan, L., Ren, Z.: Phys. Lett. B 698, 438 (2011)
Mirekhtiary, S.F., Sakalli, I.: Commun. Theor. Phys. 61, 558 (2014)
Nambu, Y., Iwayama, H., Saida, H., Shojij, T.: Plasma Fusion Res. Ser. 8, 920 (2009)
Övgün, A.: Int. J. Theor. Phys. 55, 2919 (2016)
Painlevé, P.: C. R. Acad. Sci. (Paris) 173, 677 (1921)
Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2000)
Richartz, M., Prain, A., Liberati, S., Weinfurtner, S.: Phys. Rev. D 91, 124018 (2015)
Robertson, H.P., Noonan, T.W.: Relativity and Cosmology. Saunders, Philadelphia (1968)
Rovelli, C.: Phys. Rev. Lett. 77, 3288 (1996)
Rovelli, C.: Quantum Gravity. Cambridge University Press, Cambridge (2007)
Sakalli, I.: Eur. Phys. J. C 75, 144 (2015)
Sakalli, I., Gursel, H.: Eur. Phys. J. C 76, 318 (2016)
Sakalli, I., Halilsoy, M., Pasaoglu, H.: Int. J. Theor. Phys. 50, 3212 (2011)
Schützhold, R., Unruh, W.G.: Phys. Rev. D 66, 044019 (2002)
Solodukhin, C.: Phys. Rev. D 57, 2410 (1998)
Steinhauer, J.: Nat. Phys. 10, 864 (2014)
Steinhauer, J.: Phys. Rev. D 92, 024043 (2015)
Strominger, A., Vafa, C.: Phys. Lett. B 379, 99 (1996)
Tawfik, A.N., Dahab, E.A.E.: Int. J. Mod. Phys. A 30, 1550030 (2015)
Tawfik, A.N., Diab, A.M.: Int. J. Mod. Phys. D 23, 1430025 (2014)
Unruh, W.: Phys. Rev. Lett. 46, 1351 (1981)
Unruh, W.: Phys. Rev. D 51, 2827 (1995)
Vanzo, L., Acquaviva, G., Di Criscienzo, R.: Class. Quantum Gravity 28, 183001 (2011)
Wald, R.M.: General Relativity. University of Chicago Press, Chicago (1984)
Wang, P., Yang, H., Ying, S.: Int. J. Theor. Phys. 55, 2633 (2016)
Zhang, J.: Sci. China, Phys. Mech. Astron. 53, 1427 (2010)
Zhang, B., Cai, Q.Y., Zhan, M.S.: Phys. Lett. B 665, 260 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sakalli, I., Övgün, A. & Jusufi, K. GUP assisted Hawking radiation of rotating acoustic black holes. Astrophys Space Sci 361, 330 (2016). https://doi.org/10.1007/s10509-016-2922-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-016-2922-x