The generalized uncertainty principle and black hole remnants

General Relativity and Gravitation

Volumn 33, Issue 12, 2001, Pages 2101-2108

  Adler, Ronald J ^a   Chen, Pisin ^b   Santiago, David I ^a  

^a STANFORD UNIVERSITY   (United States)

^b SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

Black holes; Uncertainty principle

Indexed keywords

EID: 0035738101     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015281430411     Document Type: Article

References (26)

1. Bekenstein, J. D. (1973). Phys. Rev. D 7, 2333; Bekenstein, J. D. (1972). Lettere al Nuovo Cimento 4, 737; Bekenstein, J. D. (2000). "The Limits of Information," gr-qc/0009019.
2. Bekenstein, J. D. (1973). Phys. Rev. D 7, 2333; Bekenstein, J. D. (1972). Lettere al Nuovo Cimento 4, 737; Bekenstein, J. D. (2000). "The Limits of Information," gr-qc/0009019.
3. Bekenstein, J. D. (1973). Phys. Rev. D 7, 2333; Bekenstein, J. D. (1972). Lettere al Nuovo Cimento 4, 737; Bekenstein, J. D. (2000). "The Limits of Information," gr-qc/0009019.
4. Hawking, S. W. (1974). Comm. Math. Phys. 43, 199; Birrell, N. D., and Davies, P. C. W. (1982). Quantum Fields in Curved Space, Chap. 8 (Cambridge Univ. Press).
5. Hawking, S. W. (1974). Comm. Math. Phys. 43, 199; Birrell, N. D., and Davies, P. C. W. (1982). Quantum Fields in Curved Space, Chap. 8 (Cambridge Univ. Press).
6. Many alternative derivations of the Hawking radiation have been made. See for example Parikh, M. K. and Wilczek, F., hep-th/9907001 (1999); see also Bunch, T. S. (1981). J. Phys. A: Math Gen. 14, L139; York, Jr., J. W. (1984). In Quantum Theory of Gravity, p. 135 (Hilger); for comments on the information puzzle and entropy of a black hole see Susskind, L. (1995). J. Math. Phys. 36, 6377; stringy black holes are discussed by Callan, C. G., Myers, R. C., and Perry, M. J. (1988/89). Nucl. Phys. B 311, 673.
7. Many alternative derivations of the Hawking radiation have been made. See for example Parikh, M. K. and Wilczek, F., hep-th/9907001 (1999); see also Bunch, T. S. (1981). J. Phys. A: Math Gen. 14, L139; York, Jr., J. W. (1984). In Quantum Theory of Gravity, p. 135 (Hilger); for comments on the information puzzle and entropy of a black hole see Susskind, L. (1995). J. Math. Phys. 36, 6377; stringy black holes are discussed by Callan, C. G., Myers, R. C., and Perry, M. J. (1988/89). Nucl. Phys. B 311, 673.
8. Many alternative derivations of the Hawking radiation have been made. See for example Parikh, M. K. and Wilczek, F., hep-th/9907001 (1999); see also Bunch, T. S. (1981). J. Phys. A: Math Gen. 14, L139; York, Jr., J. W. (1984). In Quantum Theory of Gravity, p. 135 (Hilger); for comments on the information puzzle and entropy of a black hole see Susskind, L. (1995). J. Math. Phys. 36, 6377; stringy black holes are discussed by Callan, C. G., Myers, R. C., and Perry, M. J. (1988/89). Nucl. Phys. B 311, 673.
9. Many alternative derivations of the Hawking radiation have been made. See for example Parikh, M. K. and Wilczek, F., hep-th/9907001 (1999); see also Bunch, T. S. (1981). J. Phys. A: Math Gen. 14, L139; York, Jr., J. W. (1984). In Quantum Theory of Gravity, p. 135 (Hilger); for comments on the information puzzle and entropy of a black hole see Susskind, L. (1995). J. Math. Phys. 36, 6377; stringy black holes are discussed by Callan, C. G., Myers, R. C., and Perry, M. J. (1988/89). Nucl. Phys. B 311, 673.
10. Many alternative derivations of the Hawking radiation have been made. See for example Parikh, M. K. and Wilczek, F., hep-th/9907001 (1999); see also Bunch, T. S. (1981). J. Phys. A: Math Gen. 14, L139; York, Jr., J. W. (1984). In Quantum Theory of Gravity, p. 135 (Hilger); for comments on the information puzzle and entropy of a black hole see Susskind, L. (1995). J. Math. Phys. 36, 6377; stringy black holes are discussed by Callan, C. G., Myers, R. C., and Perry, M. J. (1988/89). Nucl. Phys. B 311, 673.
11. We thank L. Susskind for his comments on this. See also Susskind in [3].
12. Many quantum mechanics texts contain a discussion of this. See for example Shankar, R. (1994). Principle of Quantum Mechanics, 2nd ed. p. 241 (Plenum).
13. Veneziano, G. (1986). Europhys. Lett. 2, 199; Gross, D. J., and Mende, P. F. (1988). Nucl. Phys. B 303, 407; Amati, D., Ciafolini, M., and Veneziano, G. (1989). Phys. Lett. B 216, 41; Konishi, K., Paffuti, G., and Provero, P. (1990). Phys. Lett. B 234, 276; Witten, E. (1996). Phys. Today, Apr. 24.
14. Veneziano, G. (1986). Europhys. Lett. 2, 199; Gross, D. J., and Mende, P. F. (1988). Nucl. Phys. B 303, 407; Amati, D., Ciafolini, M., and Veneziano, G. (1989). Phys. Lett. B 216, 41; Konishi, K., Paffuti, G., and Provero, P. (1990). Phys. Lett. B 234, 276; Witten, E. (1996). Phys. Today, Apr. 24.
15. Veneziano, G. (1986). Europhys. Lett. 2, 199; Gross, D. J., and Mende, P. F. (1988). Nucl. Phys. B 303, 407; Amati, D., Ciafolini, M., and Veneziano, G. (1989). Phys. Lett. B 216, 41; Konishi, K., Paffuti, G., and Provero, P. (1990). Phys. Lett. B 234, 276; Witten, E. (1996). Phys. Today, Apr. 24.
16. Veneziano, G. (1986). Europhys. Lett. 2, 199; Gross, D. J., and Mende, P. F. (1988). Nucl. Phys. B 303, 407; Amati, D., Ciafolini, M., and Veneziano, G. (1989). Phys. Lett. B 216, 41; Konishi, K., Paffuti, G., and Provero, P. (1990). Phys. Lett. B 234, 276; Witten, E. (1996). Phys. Today, Apr. 24.
17. Veneziano, G. (1986). Europhys. Lett. 2, 199; Gross, D. J., and Mende, P. F. (1988). Nucl. Phys. B 303, 407; Amati, D., Ciafolini, M., and Veneziano, G. (1989). Phys. Lett. B 216, 41; Konishi, K., Paffuti, G., and Provero, P. (1990). Phys. Lett. B 234, 276; Witten, E. (1996). Phys. Today, Apr. 24.
18. Adler, R. J., and Santiago, D. I. (1999). Mod. Phys. Lett. A 14, 1371; Maggiore, M. (1993). Phys. Lett. B 304, 65; Maggiore, M. (1994), Phys. Rev. D 49, 5182; Scardigli, F. (1999). Phys. Lett. B 452, 39.
19. Adler, R. J., and Santiago, D. I. (1999). Mod. Phys. Lett. A 14, 1371; Maggiore, M. (1993). Phys. Lett. B 304, 65; Maggiore, M. (1994), Phys. Rev. D 49, 5182; Scardigli, F. (1999). Phys. Lett. B 452, 39.
20. Adler, R. J., and Santiago, D. I. (1999). Mod. Phys. Lett. A 14, 1371; Maggiore, M. (1993). Phys. Lett. B 304, 65; Maggiore, M. (1994), Phys. Rev. D 49, 5182; Scardigli, F. (1999). Phys. Lett. B 452, 39.
21. Adler, R. J., and Santiago, D. I. (1999). Mod. Phys. Lett. A 14, 1371; Maggiore, M. (1993). Phys. Lett. B 304, 65; Maggiore, M. (1994), Phys. Rev. D 49, 5182; Scardigli, F. (1999). Phys. Lett. B 452, 39.
22. An alternative heuristic derivation of the Hawking radiation is contained in Ohanian H., and Ruffini, R. (1994). Gravitation and Spacetime, 2nd ed., p. 481 (W. W. Norton).
23. Adler, R. J., and Das, T. K. (1976). Phys. Rev. D 14, 2472; Hanni, R. S., and Ruffini, R. (1973). "Lines of Force of a Point Charge Near a Schwarzschild Black Hole," in Black Holes, eds. DeWitt, C. and Dewitt, B. S. (Gordon Breach).
24. Adler, R. J., and Das, T. K. (1976). Phys. Rev. D 14, 2472; Hanni, R. S., and Ruffini, R. (1973). "Lines of Force of a Point Charge Near a Schwarzschild Black Hole," in Black Holes, eds. DeWitt, C. and Dewitt, B. S. (Gordon Breach).
25. Recent comments on dark matter and WIMPS are contained in Sources and Detection of Dark Matter in the Universe, ed. Cline, D. B. (1998). Phys. Rep. 307, 1-331.
26. See for example Bekenstein, J. D. (1999). "Quantum Black Holes as Atoms," in Proceedings of the Eighth Marcel Grossman Meeting on General Relativity, eds. Pirani, T. and Ruffini, R. (World Scientific).