Black hole evaporation and large extra dimensions. (English) Zbl 0961.83025
Summary: We study the evaporation of black holes in spacetimes with extra dimensions of size \(L\). We first obtain a potential which describes the expected behaviors of very large and very small black holes and then show that a (first order) phase transition, possibly signaled by an outburst of energy, occurs in the system when the horizon shrinks below \(L\) from a larger value. This is related to both a change in the topology of the horizon and the restoring of translational symmetry along the extra dimensions.
MSC:
| 83C57 | Black holes |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 83E30 | String and superstring theories in gravitational theory |
References:
| [1] | S.W. Hawking, Nature 248 (1974) 30; Comm. Math. Phys. 43 (1975) 199.; S.W. Hawking, Nature 248 (1974) 30; Comm. Math. Phys. 43 (1975) 199. |
| [2] | B. Harms, Y. Leblanc, Phys. Rev. D 46 (1992) 2334; Phys. Rev. D 47 (1993) 2438; Ann. Phys. 244 (1995) 262; Ann. Phys. 244 (1995) 272; Europhys. Lett. 27 (1994) 557; Ann. Phys. 242 (1995) 265; P.H. Cox, B. Harms, Y. Leblanc, Europhys. Lett. 26 (1994) 321.; B. Harms, Y. Leblanc, Phys. Rev. D 46 (1992) 2334; Phys. Rev. D 47 (1993) 2438; Ann. Phys. 244 (1995) 262; Ann. Phys. 244 (1995) 272; Europhys. Lett. 27 (1994) 557; Ann. Phys. 242 (1995) 265; P.H. Cox, B. Harms, Y. Leblanc, Europhys. Lett. 26 (1994) 321. |
| [3] | R. Casadio, B. Harms, Y. Leblanc, Phys. Rev. D 57 (1998) 1309; R. Casadio, B. Harms, Phys. Rev. D 58 (1998) 044014; Mod. Phys. Lett. A 17 (1999) 1089.; R. Casadio, B. Harms, Y. Leblanc, Phys. Rev. D 57 (1998) 1309; R. Casadio, B. Harms, Phys. Rev. D 58 (1998) 044014; Mod. Phys. Lett. A 17 (1999) 1089. |
| [4] | J.D. Bekenstein, Phys. Rev. D 7 (1973) 2333; Phys. Rev. D 9 (1974) 3292; J.M. Bardeen, B. Carter, S.W. Hawking, Commun. Math. Phys. 31 (1973) 161; G.W. Gibbons, S.W. Hawking, Phys. Rev. D 15 (1977) 2752.; J.D. Bekenstein, Phys. Rev. D 7 (1973) 2333; Phys. Rev. D 9 (1974) 3292; J.M. Bardeen, B. Carter, S.W. Hawking, Commun. Math. Phys. 31 (1973) 161; G.W. Gibbons, S.W. Hawking, Phys. Rev. D 15 (1977) 2752. |
| [5] | J. Polchinski, TASI Lectures on D-branes, hep-th/9702136.; J. Polchinski, TASI Lectures on D-branes, hep-th/9702136. |
| [6] | Strominger, A.; Vafa, C., Phys. Lett. B, 379, 99 (1996) · Zbl 1376.83026 |
| [7] | Maldacena, J., Nucl. Phys. (Proc. Suppl.), 61A, 111 (1998) · Zbl 0958.83026 |
| [8] | N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 429 (1998) 263; Phys. Rev. D 59 (1999) 0806004; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 436 (1998) 257.; N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 429 (1998) 263; Phys. Rev. D 59 (1999) 0806004; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 436 (1998) 257. |
| [9] | Randall, L.; Sundrum, R., Phys. Rev. Lett., 83, 4690 (1999) · Zbl 0946.81074 |
| [10] | Argyres, P. C.; Dimopoulos, S.; March-Russell, J., Phys. Lett. B, 441, 96 (1998) |
| [11] | Chamblin, A.; Hawking, S.; Reall, H. S., Phys. Rev. D, 61, 0605007 (2000) |
| [12] | R. Emparan, G.T. Horowitz, R.C. Myers, hep-th/0003118.; R. Emparan, G.T. Horowitz, R.C. Myers, hep-th/0003118. |
| [13] | Long, J. C.; Chan, H. W.; Price, J. C., Nucl. Phys. B, 539, 23 (1999) |
| [14] | Horowitz, G. T.; Strominger, A., Nucl. Phys. B, 360, 197 (1991) |
| [15] | Gregory, R.; Laflamme, R., Phys. Rev. Lett., 70, 2837 (1993) · Zbl 1051.83544 |
| [16] | Myers, R. C.; Perry, M. J., Ann. Phys., 172, 304 (1986) · Zbl 0601.53081 |
| [17] | N. Dahdhich, R. Maartens, P. Papadopoulos, V. Rezania, hep-th/0003061.; N. Dahdhich, R. Maartens, P. Papadopoulos, V. Rezania, hep-th/0003061. |
| [18] | R. Casadio, B. Harms, in preparation.; R. Casadio, B. Harms, in preparation. |
| [19] | D. Page, Phys. Rev. D 13 (1976) 198; Phys. Rev. D 16 (1977) 2401.; D. Page, Phys. Rev. D 13 (1976) 198; Phys. Rev. D 16 (1977) 2401. |
| [20] | S.L. Dubovsky, V.A. Rubakov, P.G. Tinyakov, hep-th/0006046; R. Casadio, A. Gruppuso, G. Venturi, in preparation.; S.L. Dubovsky, V.A. Rubakov, P.G. Tinyakov, hep-th/0006046; R. Casadio, A. Gruppuso, G. Venturi, in preparation. |
| [21] | K. Huang, Statistical mechanics, Wiley, New York, 1987.; K. Huang, Statistical mechanics, Wiley, New York, 1987. · Zbl 1041.82500 |
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