Hawking radiation as tunnelling from dilatonic BTZ black hole

Document Type : Regular article

Authors

1 Centro de Estudios Cient\'ificos (CECS), Casilla1469, Valdivia, Chile

2 India

3 P.G. Dept. of Physics, Magadh University, Bodhgaya, Bihar- 824234, India

4 Department of Chemistry, Jagjiwan College, Magadh University, 823003 Gaya, Bihar, India

Abstract

In this paper, we study the Hawking radiation for a dilatonic BTZ black hole solution and derive the transmission probability of tunnelling through the barrier of the event horizon. Furthermore, we discuss the black hole chemistry of the black hole solution under the effect of thermal fluctuation and find that the thermal fluctuation plays a significant role for the black hole with small horizon radius.

Keywords

Main Subjects

[1] S. Upadhyay. "Bouncing Universe for deformed non-minimally coupled inflation model", Journal of Holography Applications in Physics 3 (1), 57-70 (2023). DOI: 10.22128/jhap.2023.651.1038
[2] T. Koikawa, M. Yoshimura, "Dilaton fields and event horizon", Phys. Lett. B 189, 29 (1987). DOI: 10.1016/0370-2693(87)91264-0
[3] G.W. Gibbons, K. Maeda, "Black holes and membranes in higher-dimensional theories with dilaton fields", Nucl. Phys. B 298, 741 (1988). DOI: 10.1016/0550-3213(88)90006-5
[4] D. Brill, J. Horowitz, "Negative energy in string theory", Phys. Lett. B 262, 437 (1991). DOI: 10.1016/0370-2693(91)90618-Z
[5] D. Garfinkle, G.T. Horowitz, A. Strominger, "Charged black holes in string theory", Phys. Rev. D 43, 3140 (1991). DOI: 10.1103/PhysRevD.43.3140
[6] S. Mignemi, D.L. Wiltshire, "Black holes in higher-derivative gravity theories", Phys. Rev. D 46, 1475 (1992). DOI: 10.1103/PhysRevD.46.1475
[7] K.C.K. Chan, J.H. Horne, R.B. Mann, "Charged dilaton black holes with unusual asymptotics", Nucl. Phys. B 447, 441 (1995). DOI: 10.1016/0550-3213(95)00205-7
[8] R.G. Cai, J.Y. Ji, K.S. Soh, "Topological dilaton black holes", Phys. Rev. D 57, 6547 (1998). DOI: 10.1103/PhysRevD.57.6547
[9] G. Clement, D. Gal’tsov, C. Leygnac, "Linear dilaton black holes", Phys. Rev. D 67, 024012 (2003). DOI: 10.1103/PhysRevD.67.024012
[10] M. Banados, C. Teitelboim, J. Zanelli, "Black hole in three-dimensional spacetime", Phys. Rev. Lett. 69, 1849 (1992). DOI: 10.1103/PhysRevLett.69.1849
[11] K.C.K. Chan, R.B. Mann, "Static charged black holes in (2+1)-dimensional dilaton gravity", Phys. Rev. D 50, 6385 (1994). DOI: 10.1103/PhysRevD.50.6385
[12] K.C.K. Chan, "Modifications of the BTZ black hole by a dilaton and scalar", Phys. Rev. D 55, 3564 (1997). DOI: 10.1103/PhysRevD.55.3564
[13] S. Upadhyay, "Quantum corrections to thermodynamics of quasitopological black holes", Phys. Lett. B 775, 130 (2017). DOI: 10.1016/j.physletb.2017.10.059
[14] B. Pourhassan, H. Farahani, S. Upadhyay, "Thermodynamics of Higher Order Entropy Corrected Schwarzschild-Beltrami-de Sitter Black Hole", Int. J. Mod. Phys. A 34 (28), 1950158 (2019). DOI: 10.1142/S0217751X19501586
[15] S. Upadhyay, "Leading-order corrections to charged rotating AdS black holes thermodynamics", Gen. Relativ. Gravit. 50 (10), 128 (2018). DOI: 10.1007/s10714-018-2459-0
[16] B. Pourhassan, et al., "Quantum gravity effects on Horava-Lifshitz black hole", Nucl. Phys. B 928, 415 (2018). DOI: 10.1016/j.nuclphysb.2018.01.018
[17] S. Upadhyay, et al., "Thermal fluctuations of charged black holes in gravity’s rainbow", Prog. Theor. Exp. Phys. 2018 (9), 093E01 (2018). DOI: 10.1093/ptep/pty093
[18] S. Upadhyay, S. Soroushfar, R. Saffari, "Perturbed thermodynamics and thermodynamic geometry of a static black hole in f(R) gravity", Mod. Phys. Lett. A 36 (29), 2150212 (2021). DOI: 10.1142/S0217732321502126
[19] S. Upadhyay; N. ul Islam; P. A. Ganai. "A modified thermodynamics of rotating and charged BTZ black hole", Journal of Holography Applications in Physics 2 (1), 25-48 (2022). DOI: 10.22128/jhap.2021.454.1004
[20] J. Kumar, S. Upadhyay, H. K. Sudhanshu, "Small Black String Thermodynamics", Phys. Scr. 98, 095306 (2023). DOI: 10.1088/1402-4896/aceec3
[21] P. Paul, S. Upadhyay, Y. Myrzakulov, D. V. Singh, K. Myrzakulov, "More exact thermodynamics of nonlinear charged AdS black holes in 4D critical gravity", Nucl. Phys. B 993, 116259 (2023). DOI: 10.1016/j.nuclphysb.2023.116259
[22] H. K. Sudhanshu, S. Upadhyay, D. V. Singh, S. Kumar, "Corrected thermodynamics of (2+1)D black hole conformally coupled to a massless scalar", Int. J. Theor. Phys 61, 248 (2022). DOI: 10.1007/s10773-022-05231-6
[23] B. Pourhassan, H. Aounallah, M. Faizal, S. Upadhyay, S. Soroushfar, Y. O. Aitenov, S. S. Wani, "Quantum Thermodynamics of an M2-M5 Brane System", JHEP 05, 030 (2022). DOI: 10.1007/JHEP05(2022)030
[24] S. H. Hendi, B. Eslam Panah, S. Panahiyan and A. Sheykhi, "Dilatonic BTZ black holes with power-law field", Phys. Lett. B 767, 214 (2017). DOI: 10.1016/j.physletb.2017.01.066
[25] B. Pourhassan, M. Faizal, "Thermal Fluctuations in a Charged AdS Black Hole", EPL 111, 40006 (2015). DOI: 10.1209/0295-5075/111/40006 
Volume 3, Issue 3
September 2023
Pages 45-52
  • Receive Date: 03 September 2023
  • Revise Date: 13 September 2023
  • Accept Date: 29 September 2023