Hawking radiation of relativistic particles from black strings
Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 523-531
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We study Hawking radiation of relativistic particles from uncharged and charged black strings in $3+1$ dimensions in detail. We use the method of quantum tunneling in the framework of the Hamilton–Jacobi approach. We show that the radial function of the action allows calculating the tunneling rate of the emitted relativistic particles. Using the Boltzmann formula, we derive the Hawking temperatures of uncharged and charged black strings. We discuss the influence of the temporal contribution to the tunneling rate.
Keywords: Hawking radiation, Hamilton–Jacobi method, quantum tunneling.
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S. F. Mirekhtiary; I. Sakalli. Hawking radiation of relativistic particles from black strings. Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 523-531. http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a7/

[1] S. W. Hawking, “Particle creation by black holes”, Commun. Math. Phys., 43:3 (1975), 199–220 | DOI | MR

[2] A. Ashtekar, R. Geroch, “Quantum theory of gravitation”, Rep. Progr. Phys., 37:10 (1974), 1211–1256 | DOI

[3] R. Penrose, “Gravitational collapse and space-time singularities”, Phys. Rev. Lett., 14:3 (1965), 57–59 | DOI | MR

[4] R. M. Wald, General Relativity, The University of Chicago Press, Chicago, IL, 1984 | DOI | MR

[5] G. W. Gibbons, S. W. Hawking, “Cosmological event horizons, thermodynamics, and particle creation”, Phys. Rev. D, 15:10 (1977), 2738–2751 | DOI | MR

[6] I. Sakalli, A. Övgün, S. F. Mirekhtiary, “Gravitational lensing effect on the Hawking radiation of dyonic black holes”, Internat. J. Geom. Methods Modern Phys., 11:08 (2014), 1450074 | DOI

[7] D. N. Page, “Black hole information”, General Relativity and Relativistic Astrophysics (University of Waterloo, Waterloo, ON, 13–15 May, 1993), eds. R. B. Mann, R. G. McLenaghan, World Sci., Singapore, 1994, 1–41, arXiv: hep-th/9305040 | MR

[8] J. Preskill, Do black holes destroy information?, arXiv: hep-th/9209058

[9] W. G. Unruh, R. M. Wald, “Information loss”, Rep. Progr. Phys., 80 (2017), 092002, arXiv: 1703.02140 | DOI

[10] J. Ahmed, K. Saifullah, “Hawking radiation of Dirac particles from black strings”, J. Cosmol. Astropart. Phys., 2011:08 (2011), 011 | DOI

[11] R. Kerner, R. B. Mann, “Tunnelling, temperature, and Taub-NUT black holes”, Phys. Rev. D, 73:10 (2006), 104010, 11 pp., arXiv: gr-qc/0603019 | DOI | MR

[12] R. Kerner, R. B. Mann, “Fermions tunnelling from black holes”, Class. Quant. Grav., 25:9 (2008), 095014, 17 pp., arXiv: 0710.0612 | DOI | MR

[13] R. Kerner, R. B. Mann, “Charged fermions tunnelling from Kerr–Newman black holes”, Phys. Lett. B, 665:4 (2008), 277–283, arXiv: 0803.2246 | DOI | MR

[14] S. Zhou, Wenbiao Liu, “Hawking radiation of charged Dirac particles from a Kerr–Newman black hole”, Phys. Rev. D, 77:10 (2008), 104021, 6 pp. | DOI | MR

[15] R. Lie, J.-R. Ren, S.-W. Wei, “Hawking radiation of Dirac particles via tunneling from the Kerr black hole”, Class. Quant. Grav., 25:12 (2008), 125016, 5 pp., arXiv: 0803.1410 | DOI | MR

[16] D.-Y. Chen, Q.-Q. Jiang, X.-T. Zu, “Fermions tunnelling from the charged dilatonic black holes”, Class. Quant. Grav., 25:20 (2008), 205022, 11 pp. | DOI | MR

[17] Q.-Q. Jiang, “Fermions tunnelling from GHS and non-extremal D1–D5 black holes”, Phys. Lett. B, 666:5 (2008), 517–521 | DOI | MR

[18] C. Ding, J. Jing, “Deformation of contour and Hawking temperature”, Class. Quant. Grav., 27:3 (2010), 035004, 10 pp. | DOI | MR

[19] L. Mao, J. Yang, D. Xu, F. Yuan, Y. Gao, “Effects of homogenization models and emulsifiers on the physicochemical properties of $\beta $-carotene nanoemulsions”, J. Dispersion Sci. Techn., 31:7 (2010), 986–993 | DOI

[20] U. A. Gillani, K. Saifullah, “Tunneling of Dirac particles from accelerating and rotating black holes”, Phys. Lett. B, 699:1–2 (2011), 15–20, arXiv: 1010.6106 | DOI | MR

[21] M. Rehman, K. Saifullah, “Charged fermions tunneling from accelerating and rotating black holes”, J. Cosmol. Astropart. Phys., 2011:03 (2011), 001, 13 pp., arXiv: 1011.5129 | DOI

[22] I. Sakalli, A. Övgün, K. Jusufi, “GUP assisted Hawking radiation of rotating acoustic black holes”, Astrophys. Space Sci., 361:10 (2016), 330, 7 pp. | DOI | MR

[23] H. Gohar, K. Saifullah, “Emission of scalar particles from cylindrical black holes”, Astrophys. Space Sci., 343:1 (2013), 181–185 | DOI

[24] Rong-Gen Cai, Yuan-Zhong Zhang, “Black plane solutions in four-dimensional spacetimes”, Phys. Rev. D, 54:8 (1996), 4891–4898, arXiv: gr-qc/9609065 | DOI | MR

[25] J. S. Lemos, “Three dimensional black holes and cylindrical general relativity”, Phys. Lett. B, 353:1 (1995), 46–51, arXiv: gr-qc/9404041 | DOI | MR

[26] A. Fatima, K. Saifullah, “Thermodynamics of charged and rotating black strings”, Astrophys. Space Sci., 341:2 (2012), 437–443 | DOI

[27] S. Iso, U. Hiroshi, F. Wilczek, “Anomalies, Hawking radiations, and regularity in rotating black holes”, Phys. Rev. D, 74:4 (2006), 044017, 10 pp., arXiv: hep-th/0606018 | DOI | MR

[28] M. Visser, “Essential and inessential features of Hawking radiation”, Internat. J. Modern Phys. D, 12:4 (2003), 649–661, arXiv: hep-th/0106111 | DOI | MR

[29] A. B. Nielsen, M. Visser, “Production and decay of evolving horizons”, Class. Quant. Grav., 23:14 (2006), 4637–4658, arXiv: gr-qc/0510083 | DOI | MR

[30] M. Angheben, M. Nadalini, L. Vanzo, S. Zerbini, “Hawking radiation as tunneling for extremal and rotating black holes”, JHEP, 05 (2005), 014, 19 pp., arXiv: hep-th/0503081 | DOI

[31] M. Nadalini, L. Vanzo, S. Zerbini, “Hawking radiation as tunnelling: the $D$-dimensional rotating case”, J. Phys. A: Math. Gen., 39:21 (2006), 6601–6608, arXiv: hep-th/0511250 | DOI | MR

[32] J. P. S. Lemos, “Two-dimensional black holes and planar general relativity”, Class. Quant. Grav., 12:4 (1995), 1081–1086, arXiv: gr-qc/9407024 | DOI | MR

[33] R. Di Criscienzo, S. A. Hayward, M. Nadalini1, L. Vanzo, S. Zerbini, “Hamilton–Jacobi tunneling method for dynamical horizons in different coordinate gauges”, Class. Quant. Grav., 27:1 (2009), 015006, 19 pp. | DOI | MR

[34] I. Sakalli, S. F. Mirekhtiary, “Effect of the refractive index on the hawking temperature: an application of the Hamilton–Jacobi method”, ZhETF, 144:4 (2013), 756–764 | DOI | DOI

[35] S. F. Mirekhtiary, I. Sakalli, “Hawking radiation of Grumiller black hole”, Commun. Theor. Phys., 61:5 (2014), 558–564, arXiv: 1402.5514 | DOI

[36] J. P. S. Lemos, “Three dimensional black holes and cylindrical general relativity”, Phys. Lett. B, 353:1 (1995), 46–51, arXiv: gr-qc/9404041 | DOI | MR

[37] K. Per, F. Wilczek, “Self-interaction correction to black hole radiance”, Nucl. Phys. B, 433:2 (1995), 403–420, arXiv: gr-qc/9408003 | DOI

[38] M. Parikh, F. Wilczek, “Hawking radiation as tunneling”, Phys. Rev. Lett., 85:24 (2000), 5042–5045, arXiv: hep-th/9907001 | DOI | MR

[39] M. Parikh, “A secret tunnel through the horizon”, Gen. Rel. Grav., 36:11 (2004), 2419–2422 | DOI | MR

[40] I. Sakalli, S. F. Mirekhtiary, “Spectroscopy of Rindler modified Schwarzschild black hole”, Astrophys. Space Sci., 350:2 (2014), 727–731 | DOI

[41] J. D. Bekenstein, “Black holes and the second law”, Nuovo Cimento Lett., 4:15 (1972), 737–740 | DOI

[42] J. D. Bekenstein, “Black holes and the second law”, Lett. Nuovo Cimento, 4:15 (1972), 737–740 ; J. D. Bekenstein, “Black holes and entropy”, Phys. Rev. D, 7:8 (1973), 2333–2346 | DOI | DOI

[43] R. E. Rodríguez, I. Kra, J. P. Gilman, Complex Analysis. In the Spirit of Lipman Bers, Graduate Texts in Mathematics, 245, Springer, New York, 2013 | DOI | MR

[44] E. T. Akhmedov, V. Akhmedova, D. Singleton, “Hawking temperature in the tunneling picture”, Phys. Lett. B, 642:1–2 (2006), 124–128 | DOI | MR

[45] D. Y. Chen, H. W. Wu, H. T. Yang, S. Z. Yang, “Effects of quantum gravity on black holes”, Internat. J. Modern Phys. A, 29:26 (2014), 1430054, 42 pp., arXiv: 1410.5071 | DOI | MR

[46] E. T. Akhmedov, V. Akhmedova, D. Singleton, T. Pilling, “Thermal radiation of various gravitational backgrounds”, Internat. J. Modern Phys. A, 22:8–9 (2007), 1705–1715, arXiv: hep-th/0605137 | DOI

[47] V. Akhmedova, T. Pilling, A. de Gill, D. Singleton, “Temporal contribution to gravitational WKB-like calculations”, Phys. Lett. B, 666:3 (2008), 269–271, arXiv: 0804.2289 | DOI | MR

[48] E. T. Akhmedov, T. Pilling, D. Singleton, “Subtleties in the quasi-classical calculation of Hawking radiation”, Internat. J. Modern Phys. D, 17:13–14 (2008), 2453–2458, arXiv: 0805.2653 | DOI | MR

[49] B. D. Chowdhury, “Problems with tunneling of thin shells from black holes”, Pramana, 70:1 (2008), 3–26

[50] V. Akhmedova, T. Pilling, A. de Gill, D. Singleton, “Comments on anomaly versus WKB/tunneling methods for calculating Unruh radiation”, Phys. Lett. B, 673:3 (2009), 227–231, arXiv: 0808.3413 | DOI | MR

[51] Z. W. Feng, H. L. Li, X. T. Zu, S. Z. Yang, “Quantum corrections to the thermodynamics of Schwarzschild–Tangherlini black hole and the generalized uncertainty principle”, Eur. Phys. J. C, 76:4 (2016), 212, 9 pp., arXiv: 1512.09219 | DOI

[52] C. A. S. Silva, F. A. Brito, “Quantum tunneling radiation from self-dual black holes”, Phys. Lett. B, 725:4–5 (2013), 456–462 | MR

[53] Z. Feng, G. Li, P. Jiang, Y. Pan, X. Zu, “Deformed Hamilton-Jacobi equations and the tunneling radiation of the higher-dimensional RN-(A) dS black hole”, Internat. J. Theor. Phys., 55:7 (2016), 3079–3087 | DOI | MR

[54] M. Sharif, W. Javed, “Charged fermions tunneling from regular black holes”, ZhETF, 142:5(11) (2012), 889–896

[55] U. Miyamoto, K. Maeda, “Liquid bridges and black strings in higher dimensions”, Phys. Lett. B, 664:1–2 (2008), 103–106, arXiv: 0803.3037 | DOI | MR