Black hole entropy without brick walls. (English) Zbl 0996.83030
Summary: The properties of the thermal radiation are discussed by using the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity. There is no burst at the last stage of the emission of a Schwarzschild black hole. When the new equation of state density is utilized to investigate the entropy of a scalar field outside the horizon of a static black hole, the divergence appearing in the brick wall model is removed, without any cutoff. The entropy proportional to the horizon area is derived from the contribution of the vicinity of the horizon.
MSC:
| 83C57 | Black holes |
References:
| [1] | Demers, J. G.; Lafrance, R.; Myers, R. C., Phys. Rev. D, 52, 2245 (1995) |
| [2] | ’t Hooft, G., Nucl. Phys. B, 256, 727 (1985) |
| [3] | Susskind, L.; Uglum, J., Phys. Rev. D, 50, 2700 (1995) |
| [4] | Frolov, V.; Fursaev, D.; Gegenberg, J.; Kunstatter, G., Phys. Rev. D, 60, 024016 (1999) |
| [5] | Kempf, A.; Mangano, G.; Mann, R. B., Phys. Rev. D, 52, 1108 (1995) |
| [6] | Garay, L. J., Int. J. Mod. Phys. A, 10, 145 (1995) |
| [7] | Kastrup, H. A., Phys. Lett. B, 413, 267 (1997) |
| [8] | Ahluwalia, D. V., Phys. Lett. A, 275, 31 (2000) |
| [9] | Adler, R. J. |
| [10] | Rama, S. K., Phys. Lett. B, 519, 103 (2001) · Zbl 0972.82011 |
| [11] | Chang, L. N. |
| [12] | Padmanabhan, T., Phys. Lett. B, 173, 43 (1986) |
| [13] | Jing, J. L., Int. J. Theor. Phys., 37, 1441 (1998) · Zbl 0943.83037 |
| [14] | Li, L. X.; Liu, L., Phys. Rev. D, 46, 3296 (1992) |
| [15] | Wang, D. X., Phys. Rev. D, 50, 7385 (1994) |
| [16] | Klebanov, I.; Susskind, L., Nucl. Phys. B, 309, 175 (1988) |
| [17] | Peet, A. W., Class. Quantum Grav., 15, 329 (1998) |
| [18] | Horowitz, G. T.; Polchinski, J., Phys. Rev. D, 55, 6189 (1997) |
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.
