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Evaporation of black hole under the effect of quantum gravity. (English) Zbl 1535.83053

Summary: This paper provides an extension for Hawking temperature of Reissner-Nordström-de Sitter (RN-DS) black hole (BH) with global monopole as well as 5D charged black hole. We consider the black holes metric and investigate the effects of quantum gravity (\(\alpha\)) on Hawking radiation. We investigate the charged boson particles tunneling through the horizon of black holes by using the Hamilton-Jacobi ansatz phenomenon. In our investigation, we study the quantum radiation to analyze the Lagrangian wave equation with generalized uncertainty principle and calculate the modified Hawking temperatures for black holes. Furthermore, we analyze the charge and correction parameter effects on the modified Hawking temperature and examine the stable and unstable condition of RN-DS BH with global monopole as well as 5D charged black hole.

MSC:

83C57 Black holes
83E05 Geometrodynamics and the holographic principle
83C45 Quantization of the gravitational field

References:

[1] Hawking, S. W., Particle creation by black holes, Commun. Math. Phys.43 (1975) 199. · Zbl 1378.83040
[2] Sharif, M. and Javed, W., Fermions tunneling from charged accelerating and rotating black holes with NUT parameter, Eur. Phys. J.C 72 (2012) 1997.
[3] Damoar, T. and Ruffini, R., Black-hole evaporation in the Klein-Sauter-Heisenberg-Euler formalism, Phys. Rev. D14 (1976) 332.
[4] Javed, W., Abbas, G. and Ali, R., Charged vector particles tunneling from a pair of accelerating and rotating and 5D gauged super-gravity black holes, Eur. Phys. J.C 77 (2017) 296.
[5] Övgun, A., Javed, W. and Ali, R., Tunneling of Glashow-Weinberg-Salam model particles from black hole solutions in Rastall theory, Adv. High Energy Phys.2018 (2018) 11. · Zbl 1403.81021
[6] Javed, W., Ali, R. and Abbas, G., Charged vector particles tunneling from black ring and 5D black hole, Can. J. Phys.97 (2018) 176.
[7] Javed, W., Ali, R., Babar, R. and Övgun, A., Tunneling of massive vector particles from types of BTZ-like black holes, Eur. Phys. J. Plus134 (2019) 511. · Zbl 1409.83101
[8] Javed, W., Ali, R., Babar, R. and Övgun, A., Tunneling of massive vector particles under influence of quantum gravity, Chin. Phys.C 144 (2020) 015104. · Zbl 1409.83101
[9] Johnson, G., Tunnelling of charged particles from black holes, J. High Energy Phys.03 (2020) 038. · Zbl 1444.83007
[10] Ali, R., Bamba, K. and Shah, S. A. A., Effect of quantum gravity on the stability of black holes, Symmetry631 (2019) 11. · Zbl 1425.83081
[11] Ali, R., Bamba, K., Asgher, M., Malik, M. F. and Shah, S. A. A., Stability analysis of charged rotating black ring, Symmetry1165 (2020) 12.
[12] Ali, R., Asgher, M. and Malik, M. F., Gravitational analysis of neutral regular black hole in Rastall gravity, Mod. Phys. Lett. A35 (2020) 2050225. · Zbl 1443.83042
[13] Rizwan, M., Ali, M. Z. and Övgun, A., Charged fermions tunneling from stationary axially symmetric black holes with generalized uncertainty principle, Mod. Phys. Lett. A34 (2019) 1950184. · Zbl 1418.83029
[14] Ali, R.et al., Tunneling under the influence of quantum gravity in black rings, Int. J. Mod. Phys. D30 (2021) 2150002. · Zbl 1457.83064
[15] W. Javed and R. Babar, Hawking radiation as quantum tunneling phenomenon, Proc. 15th Marcel Grossmann Meeting, http://robot.icranet.org:8080/store/l380.pdf; ibid, Punjab Univ. J. Math.52 (2020) 6.
[16] Javed, W., Babar, R. and Övgün, A., Hawking radiation from cubic and quartic black holes via tunneling of GUP corrected scalar and fermion particles, Mod. Phys. Lett. A34 (2019) 1950057. · Zbl 1409.83101
[17] W. Javed and R. Babar, Fermions tunneling and quantum corrections for quintessential kerr-newman-ads black hole, Adv. High Energy Phys.2019 (2019) 2759641; Vector particles tunneling in the background of quintessential field involving quantum effects, ibid, Chin. J. Phys.61 (2019) 138. · Zbl 07824977
[18] Babar, R., Javed, W. and Övgün, A., Effect of the GUP on the Hawking radiation of black hole in \(2+1\) dimensions with quintessence and charged BTZ-like magnetic black hole, Mod. Phys. Lett. A35 (2020) 2050104.
[19] Konishi, K., Paffuti, G. and Provero, P., Minimum physical length and the generalized uncertainty principle in string theory, Phys. Lett. B234 (1990) 276.
[20] Garay, L. J., Quantum gravity and minimum length, Int. J. Mod. Phys. A10 (1995) 145.
[21] Ali, R., Babar, R., Asgher, M. and Shah, S. A. A., Gravity effects on Hawking radiation from charged black strings in Rastall theory, Ann. Phys.432 (2021) 168572. · Zbl 1479.83116
[22] Kempf, A., Mangano, G. and Mann, R. B., Hilbert space representation of the minimal length uncertainty relation, Phys. Rev. D52 (1995) 1108.
[23] Das, S. and Vagenas, E. C., Universality of quantum gravity corrections, Phys. Rev. Lett.101 (2008) 221301.
[24] Chen, D., Wu, H., Yang, H. and Yang, S., Effects of quantum gravity on black holes, Int. J. Mod. Phys. A29 (2014) 1430054. · Zbl 1301.83020
[25] Kempf, A., Nonpointlike particles in harmonic oscillators, J. Phys. A30 (1997) 2093. · Zbl 0930.58026
[26] Brau, F., Minimal length uncertainty relation and hydrogen atom, J. Phys. A32 (1999) 7691. · Zbl 0991.81047
[27] Ali, A. F., Das, S. and Vagenas, E. C., Phys. Lett. B678 (2009) 497.
[28] Övgün, A. and Jusufi, K., The effect of the GUP on massive vector and scalar particles tunneling from a warped DGP gravity black hole, Eur. Phys. J. Plus132 (2017) 298. · Zbl 1366.83048
[29] Zhang, B., Cai, Q. and Zhan, M. S., Hawking radiation as tunneling derived from Black Hole Thermodynamics through the quantum horizon, Phys. Lett. B665 (2008) 260. · Zbl 1328.83117
[30] Mehdipour, S. H., Charged particles tunneling from a noncommutative charged black hole, Int. J. Mod. Phys. A25 (2010) 5543. · Zbl 1208.83070
[31] Sharif, M. and Abbas, G., Phantom accretion by five-dimensional charged black hole, Mod. Phys. Lett. A26 (2011) 23. · Zbl 1274.83091
[32] Ling, L. H., Quantum tunnelling radiation from static and rotating black lenses in five dimensions, Sci. China-Phys. Mech. Astron.55 (2012) 11.
[33] Liu, C. Z., Charged particle’s tunneling in a modified Reissner-Nordstrom black hole, Int. J. Theor. Phys.53 (2014) 60. · Zbl 1284.83089
[34] Deng, G. M., Self-consistent geodesic equation and quantum tunneling from charged AdS black holes, J. Phys. Conf. Ser.942 (2017) 012008.
[35] Gecim, G. and Sucu, Y., Quantum gravity effect on the tunneling particles from Warped-AdS_3 black hole, Mod. Phys. Lett. B28 (2018) 185164. · Zbl 1397.83066
[36] Addazi, A. and Shababi, H., Aspects of nonperturbative GUP models, Int. J. Mod. Phys. A35 (2020) 2042002.
[37] Yi, M. and Wu, X., Dynamics of charged particles around a magnetically deformed Schwarzschild black hole, Phys. Scr.95 (2020) 085008.
[38] Addazi, A. and Shababi, H., \(F(P)\) quantum mechanics, Int. J. Geom. Meth. Mod. Phys.17 (2020) 2050130. · Zbl 07812069
[39] Khosropour, B., Eghbali, M. and Ghorbanali, S., \(q\)-nonlinear Schrodinger and \(q\)-nonlinear Klein-Gordon equations in the frame work of GUP, Gen. Relativ. Gravit.50 (2018) 25. · Zbl 1392.83033
[40] Awad, A. and Nashed, G., Generalized teleparallel cosmology and initial singularity crossing, J. Cosmol. Astropart. Phys.02 (2017) 046. · Zbl 1515.83196
[41] Nashed, G. G. L., Schwarzschild solution in extended teleparallel gravity, Europhys. Lett.105 (2014) 10001.
[42] Elizalde, E., Nashed, G. G. L., Nojiri, S. and Odintsov, S. D., Spherically symmetric black holes with electric and magnetic charge in extended gravity: physical properties, causal structure, and stability analysis in Einstein’s and Jordan’s frames, Eur. Phys. J. C80 (2020) 109.
[43] Hanafy, W. E. and Nashed, G. G. L., Exact teleparallel gravity of binary black holes, Astrophys. Space Sci.361 (2016) 68.
[44] Shirafuji, T. and Nashed, G. G. L., Energy and momentum in the tetrad theory of gravitation, Prog. Theor. Phys.98 (1997) 1355.
[45] Sharif, M. and Javed, W., Some interesting aspects of Hawking radiation, Proc. 3rd Galileo-Xu Guangqi Meeting, Int. J. Mod. Phys. Conf. Ser.23 (2013) 271.
[46] Bose, S. and Dadhich, N., Brown-York quasilocal energy, gravitational charge, and black hole horizons, Phys. Rev. D60 (1999) 064010.
[47] Li, X. Q. and Chen, G. R, Massive vector particles tunneling from Kerr and Kerr-Newman black holes, Phys. Lett. B751 (2015) 34. · Zbl 1360.83038
[48] Li, X. Q., Massive vector particles tunneling from black holes influenced by the generalized uncertainty principle, Phys. Lett. B763 (2016) 80. · Zbl 1370.83055
[49] Dehghani, M. and Farmany, A., Comparison of approaches to quantum gravitational corrections on the Reissner-Nordsträm-de Sitter black hole tunneling radiation, Int. J. Theor. Phys.49 (2010) 1633. · Zbl 1197.83066
[50] Wang, P., Yang, H. and Ying, S., Quantum gravity corrections to the tunneling radiation of scalar particles, Int. J. Theor. Phys.55 (2016) 2633. · Zbl 1338.83125
[51] Banerjee, R. and Majhi, B. R., Quantum tunneling beyond semiclassical approximation, J. High Energy Phys.2008 (2008) 095.
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