A New General Tortoise Coordinate Transformation and Quantum Tunneling Effect of the Non-Stationary Higher Dimensional Vaidya-de Sitter Black Hole

Springer Science and Business Media LLC - Tập 54 - Trang 604-613 - 2014
Zhong-wen Feng1, Guo-ping Li1, Yan Zhang2, Xiao-tao Zu1
1School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu, China
2Institute of Theoretical Physics, China West Normal University, Nanchong, China

Tóm tắt

In this paper, we combine the Hamilton-Jacobi equation with a new general tortoise coordinate transformation to study quantum tunneling of scalar particles and fermions from the non-stationary higher dimensional Vaidya-de Sitter black hole. The results show that Hamilton-Jacobi equation is a semi-classical foundation equation which can easily derived from the particles’ dynamic equations, it can helps us understand the origin of Hawking radiation. Besides, based on the dimensional analysis, we believed that the new general tortoise coordinate transformation is more reasonable than old ones.

Tài liệu tham khảo

Kerr, R.P.: Gravitational field of a spinning mass as an example of algebraically special metrics. Phys. Rev. Lett 11, 237–238 (1963) Newman, E.T., Couch, E., Chinnapared, K., Exton, A., Prakash, A., Torrence, R.: Metric of a rotating, charged mass. J. Math. Phys. 6, 918–919 (1965) Wu, S.-Q.: General nonextremal rotating charged Gödel black holes in minimal five-dimensional gauged supergravity. Phys. Rev. Lett. 100, 121301 (2008) Wu, S.-Q.: General nonextremal rotating charged AdS black holes in five-dimensional U(1) gauged supergravity: A simple construction method. Phys. Lett. B 707, 286–291 (2012) Hawking, S.W.: Particle creation by black holes. Commun. Math. Phys. 43, 199–220 (1975) Gibbons, G.W., Hawking, S.W.: Action integrals and partition functions in quantum gravity. Phys. Rev. D 15, 2752–2756 (1977) Aragone, C., Gambini, R., Restuccia, A.: Null-coordinate gravidynamics and the spin coefficients. Phys. Rev. D 13, 218–223 (1976) Susskind, l.: The paradox of quantum black holes. Nat. Phys. 2, 665–677 (2006) Parikh, M.K., Wilczek, F.: Hawking Radiation As Tunneling. Phys. Rev. Lett. 85, 5042–5045 (2000) Srinivasan, K., Padmanabhan, T.: Particle production and complex path analysis. Phys. Rev. D 60, 024007 (1999). doi:10.1103/PhysRevD.60.024007 Shankaranarayanan, S., Padmanabhan, T., Srinivasan, K.: Hawking radiation in different coordinate settings: complex paths approach. Class. Quantum Gravity 19(10), 2671–2687 (2002). doi:10.1088/0264-9381/19/10/310 Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: Hawking radiation as tunneling for extremal and rotating black holes. J. High Energy Phys. 0505(5), 014 (2005). doi:10.1088/1126-6708/2005/05/014 Kerner, R., Mann, R.B.: Fermions tunnelling from black holes. Class. Quantum Gravity 25, 5014 (2008) Jiang, Q.Q., Yang, S.Z., Wu, S.Q.: New form of the Kerr-Newman-Kasuya solution and its Hawking radiatio tunneling. Int. J. Mod. Phys. A 22(4), 777–785 (2007). doi:10.1142/s0217751x07034234 Wu, S.Q., Jiang, Q.Q.: Hawking radiation of charged particles as tunneling from Reissner-Nordstrom-de Sitter black holes with a global monopole. Phys. Lett. B 639(6), 684–684 (2006). doi:10.1016/j.physletb.2006.06.009 Lin, K., Yang, S.Z.: Fermion tunnels of higher-dimensional anti-de Sitter Schwarzschild black hole and its corrected entropy. Phys. Lett. B 680(5), 506–509 (2009). doi:10.1016/j.physletb.2009.09.032 Chen, D.Y., Wu, H.W., Yang, H.T.: Fermion's Tunnelling with Effects of Quantum Gravity. Adv. High. Energy Phys. 2013, 432412 (2013). doi:10.1155/2013/432412 Chen, D.Y., Jiang, Q.Q., Wang, P., Yang, H.T.: Remnants, fermions’ tunnelling and effects of quantum gravity. J. High Energy Phys. 2013(11), 173 (2013). doi:10.1007/jhep11(2013)176 Chen, D.Y., Wu, H.W., Yang, H.T.: Observing remnants by fermions’ tunneling. J. Cosmol. Astropart. Phys. 2014(3), 036 (2014). doi:10.1088/1475-7516/2014/03/036 Chen, D.Y.: Dirac particles’ tunneling from five-dimensional rotating black strings influenced by the generalized uncertainty principle. Eur. Phys. J. C 74(1), 2687 (2014). doi:10.1140/epjc/s10052-013-2687-0 Chen, D.Y., Li, Z.H.: Remarks on Remnants by Fermions' Tunnelling from Black Strings. Adv. High. Energy Phys. 2014, 620157 (2014). doi:10.1155/2014/620157 Yang, S.Z., Lin, K.: Hamilton-Jacob equaion and tunneling radiation from Kerr-TAUB-NUT black hole. Sci.Sin. 40, 507–512 (2010) Yang, S.Z., Lin, K.: Dynamical Effect of Electromagnetic Wave in Spherical Symmetrical Finsler Spacetime. Int. J. Theor. Phys. 52 (9), 3176–3181 (2013). doi:10.1007/s10773-013-1611-6 Lin, K., Li, J., Yang, S.Z., Zu, X.T.: A new regular black hole. Int. J. Theor. Phys. 52(3), 1013–1019 (2013). doi:10.1007/s10773-012-1414-1 Yang, S.Z., Lin, K., Li, J.: Hawking Radiation of Black Hole in Einstein-Proca Theory. Int. J. Theor. Phys. 53(5), 1710–1716 (2014). doi:10.1007/s10773-013-1968-6 Chen, D.Y., Li, Z.H.: Remarks on Remnants by Fermions' Tunnelling from Black Strings. Adv. High. Energy Phys. 2014, 620157 (2014). doi:10.1155/2014/620157 Feng, Z.W., Deng, J., Li, G.P., Yang, S.Z.: Quantum Tunneling of the Non-stationary Kerr-Newman Black Hole via a New Type of General Tortoise Coordinate Transformation. Int. J. Theor. Phys. 51(10), 3214–3221 (2012). doi:10.1007/s10773-012-1202-y Lan, X.G., Jiang, Q.Q., Wei, L.F.: Hawking radiation temperatures in non-stationary Kerr black holes with different tortoise coordinate transformations. Eur. Phys. J. C 72, 1983 (2012) Sahdev, D.: Perfect-fluid higher-dimensional cosmologies. Phys. Rev. D 30, 2495–2507 (1984) Shen, Y.G.: Nonstatic Black Hole Metric In higher Dimensional De Sitter Space-time Background. Ann. Shanghai Obs. Acad. Sin. 20, 136–140 (1999) Lin, K., Yang, S.Z.: A simpler method for researching fermions tunneling from black holes. Chin. Phys. B 20(11), 110–115 (2011). doi:10.1088/1674-1056/20/11/110403 Chen, D.Y., Yang, S.Z.: Information loss and tunneling radiation of the non-stationary Dilaton-Maxwell black hole. Int. J. Mod. Phys. D 16(8), 1295–1301 (2007). doi:10.1142/S0218271807010742 Chen, D.Y., Yang, S.Z.: Hawking radiation as tunneling from the non-stationary (2 + 1)-dimensional black hole. Nuovo Cimento B 122(1), 31–35 (2007). doi:10.1393/ncb/i2007-10006-7 Chen, D.Y., Yang, S.Z.: Hawking radiation of the Vaidya-Bonner-de sitter black hole. New J. Phys. 9, 252 (2007). doi:10.1088/1367-2630/9/8/252