Abstract
We study the evolution, the transverse spreadingand the subsequent thermalization of string states inthe Weyl static axisymmetric spacetime. This possessesa singular event horizon on the symmetry axis and a naked singularity along the otherdirections. The branching diffusion process of stringbits approaching the singular black-hole horizonprovides the notion of the temperature that iscalculated for this process. We find that the solution of theFokker-Planck equation in the phase space of thetransverse variables of the string, can be factored asa product of two thermal distributions, provided that the classical conjugate variables satisfy theuncertainty principle. We comment on the possiblephysical significance of this result.
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REFERENCES
Green, M., Schwarz, J., Witten, E. (1987). Superstring Theory (Cambridge University Press, Cambridge).
de Vega, H. J., and Sánchez, N. (1994). String Theory in Cosmological Spacetimes (Proc. Erice School, Sicily), N. Sanchez, ed. (World Scientific, Singapore).
de Vega, H. J. (1992). Strings in Curved Spacetimes (Proc. Erice School, Sicily), N. Sanchez, ed. (World Scientific, Singapore).
't Hooft, G. (1990). Nucl. Phys. B 335, 138.
Susskind, L., Thorlacius, L., and Uglum, J. (1993). Phys. Rev. D 48, 3743.
Susskind, L. (1993). Phys. Rev. Lett. 71, 2367.
Susskind, L., and Uglum, J. (1994). Phys. Rev. D 50, 2700.
Mezhlumian, A., Peet, A., and Thorlacius, L. (1994). Phys. Rev. D 50, 2725.
Hotta, K. (1998). “The Information Loss Problem of Black Hole and the First Order Phase Transition in String Theory.” Preprint hep-th/9705100
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973). Gravitation (W. H. Freeman, San Francisco).
Duncan, C., Paul Esposito, F., and Lee, S. (1978). Phys. Rev. D 17, 404.
Papadopoulos, D., Stewart, B., and Witten, L. (1981). Phys. Rev. D 24, 320.
Papadopoulos, D. (1985). Lett. Nuovo Cimento 44, 497.
Bičak, J., Lynden-Bell, D., and Katz, J. (1993). Phys. Rev. D 47, 4334.
Lemos, J. P. S. (1988). Mon. Not. R. Astr. Soc. 230, 451.
Horowitz, G. T., and Ross, S. F. (1997). “Properties of Naked Black Holes.” Preprint hep-th/9709050.
Abramowitz, M., and Stegun, I. A. (1970). Handbook of Mathematical Functions (Dover, New York).
Nicholson, D. R. (1983). Introduction to Plasma Theory (Wiley, New York).
Namiki, M. (1992). Stochastic Quantization (Lecture Notes in Physics 119, Springer-Verlag, New York).
Witten, E. (1985). Nucl. Phys. B 249, 557.
Miyoshi, M., et al. (1995). Nature 373, 127.
Greenhill, L. J., et al. (1995). Astrophys. J. 440, 619.
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Kuiroukidis, A., Papadopoulos, D.B. & Paschalis, J.E. String Thermalization in Static Spacetimes. General Relativity and Gravitation 31, 1237–1254 (1999). https://doi.org/10.1023/A:1026716622648
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DOI: https://doi.org/10.1023/A:1026716622648