Banerjee, Rabin; Majhi, Bibhas Ranjan Quantum tunneling and back reaction. (English) Zbl 1282.83025 Phys. Lett., B 662, No. 1, 62-65 (2008). Summary: We give a correction to the tunneling probability by taking into account the back reaction effect to the metric of the black hole spacetime. We then show how this gives rise to the modifications in the semiclassical black hole entropy and Hawking temperature. Finally, we reproduce the familiar logarithmic correction to the Bekenstein-Hawking area law. Cited in 97 Documents MSC: 83C57 Black holes 81T20 Quantum field theory on curved space or space-time backgrounds PDFBibTeX XMLCite \textit{R. Banerjee} and \textit{B. R. Majhi}, Phys. Lett., B 662, No. 1, 62--65 (2008; Zbl 1282.83025) Full Text: DOI arXiv References: [1] Hawking, S. W., Commun. Math. Phys., 43, 199 (1975) [2] Bardeen, J. M.; Carter, B.; Hawking, S. W., Commun. Math. Phys., 31, 161 (1973) [3] Bekenstein, J. D., Lett. Nuovo Cimento, 4, 737 (1972) [4] Bekenstein, J. D., Phys. Rev. D, 7, 2333 (1973) [5] Bekenstein, J. D., Phys. Rev. D, 9, 3292 (1974) [6] York, J. W., Phys. Rev. D, 31, 755 (1985) [7] Lousto, C. O.; Sanchez, N., Phys. Lett. B, 212, 411 (1988) [8] Fursaev, D. V., Phys. Rev. D, 51, 5352 (1995) [9] Mann, R. B.; Solodukhin, S. N., Nucl. Phys. B, 523, 293 (1998) [10] Kaul, R. K.; Majumdar, P., Phys. Rev. Lett., 84, 5255 (2000) [11] Ghosh, A.; Mitra, P., Phys. Lett. B, 616, 144 (2005) [12] Page, D. N., New J. Phys., 7, 203 (2005), For a review and a complete list of papers on logarithmic corrections, see [13] Parikh, M. K.; Wilczek, F., Phys. Rev. Lett., 85, 5042 (2000) [14] Shankaranarayanan, S.; Padmanabhan, T.; Srinivasan, K., Class. Quantum Grav., 19, 2671 (2002) [15] Arzano, M.; Medved, A. J.M.; Vagenas, E. C., JHEP, 0509, 037 (2005) [16] Medved, A. J.M.; Vagenas, E. C., Mod. Phys. Lett. A, 20, 2449 (2005) [17] Painleve, P., C. R. Acad. Sci. (Paris), 173, 677 (1921) [18] Kraus, P.; Wilczek, F., Nucl. Phys. B, 433, 403 (1995) [19] Angheben, M.; Nadalini, M.; Vanzo, L.; Zerbini, S., JHEP, 0505, 014 (2005) [20] Kerner, R.; Mann, R. B., Phys. Rev. D, 73, 104010 (2006) [21] Pilling, T. [22] Sarkar, S.; Kothawala, D. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.