Abstract
An internal singularity of a string four-dimensional black hole with second order curvature corrections is investigated. A restriction to a minimal size of a neutral black hole is obtained in the frame of the model considered. Vacuum polarization of the surrounding space-time caused by this minimal-size black hole is also discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Penrose, R. (1992). In The Renaissance of General Relativity and Cosmology (Proc. Trieste 1992), p. 314.
Hawking, S. W., and Penrose, R. (1996). The Nature of Space and Time (Isaac Newton Institute Lectures, Princeton University Press, Princeton).
Poisson, E. (1997). “Black hole interiors and strong cosmic censorship.” Preprint No. gr-gc/9709022, to be published in Proc. Workshop on the Internal Structure of Black Holes and Space-Time Singularities (Haifa, Israel, 29 June-3 July 1997) (World Scientific, Singapore).
Wald, R. M. (1997). “Gravitational Collapse and Cosmic Censorship.” Preprint No. gr-gc/9710068, to appear in The Black Hole Trail, ed. by B. Iyer.
Burko, L. M. (1997). Phys. Rev. Lett. 79, 4958.
Gal'tsov, D. V., Donets, E. E., and Zotov, M. Yu. (1997). “Internal structure of non-Abelian black holes and nature of singularity.” Preprint No. hep-th/9709181, to appear in Proc. Workshop on the Internal Structure of Black Holes and Space-Time Singularities (Haifa, Israel, 29 June-3 July 1997) (World Scientific, Singapore).
Lavrelashvili, G. (1997). “Nonabelian Black Holes: the Inside History.” Preprint No. gr-qc/9708036, to appear in Proc. Workshop on the Intern al Structure of Black Holes and Space-Time Singularities (Haifa, Israel, 29 June-3 July 1997) (World Scientific, Singapore); Breitenlohner, P., Lavrelashvili, G., and Maison, D. “Mass Inflation Inside Nonabelian Black Holes.” Preprint No. gr-qc/ 9711024, to appear in Proc. 8th Marcel Grossman Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theory (MG 8) (Jerusalem, Israel, 22–27 June 1997), T. Piran, ed. (World Scientific, Singapore).
Hawking, S. W., and Ellis, G. F. R. (1973). The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge).
Novikov, I. D., and Frolov, V. P. (1986). Physics of Black Holes (Nauka, Moscow, in Russian).
Kanti, P., Mavromatos, N. E., Rizos, J., Tamvakis, K., and Winstanley, E. (1996). Phys. Rev. D 54, 5049; Kanti, P., and Tamvakis, K. (1997). Phys. Lett. B 392, 30.
Torii, T., Yajima, H., and Maeda, K. (1997). Phys. Rev. D 55, 739.
Alexeyev, S. O., and Pomazanov, M. V. (1997). Phys. Rev. D 55, 2110.
Alexeyev, S. O. (1997). Grav. Cosmol. 3, 61.
Alexeyev, S. O., and Pomazanov, M. V. (1997). Grav. Cosmol. 3, 191.
Mignemi, S., and Stewart, N. R. (1993). Phys. Rev. D 47, 5259.
Bento, M. C., and Bertolami, O. (1995). “Cosmological Solutions of Higher Curvature String Effective Theories with Dilatons.” Preprint No. gr-qc/9503057.
Garfinkle, D., Horowitz, G., and Strominger, A. (1991). Phys. Rev. D 43, 3140; Gibbons, G. W., and Maeda, K. (1988). Nucl. Phys. B 298, 741.
Natsuume, M. (1994). Phys. Rev. D 50, 3945.
Frolov, V. P., and Zel'nikov, A. I. (1984). In Quantum Gravity, Moscow, Proceedings, M. Markov, ed.
Candelas, P. (1980). Phys. Rev. D 21, 2185.
Visser, M. (1997). “Gravitational vacuum polarization.” Preprint No. gr-qc/9710034, to appear in the Proc. 8th Marcel Grossman Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theory (MG 8) (Jerusalem, Israel, 22–27 June 1997), T. Piran, ed. (World Scientific, Singapore).
Visser, M. (1996). Phys. Rev. D 54, 5103, 5116, 5123; (1997). ibid. 56, 926.
Anderson, P. R., Hiscock, W. A., and Loranz, D. J. (1995). Phys. Rev. Lett. 74, 4365.
Anderson, P. R., and Mull, C. D. “Constraints on the Geometries of Black Holes in Classical and Semiclassical Theories of Gravity.” Preprint No. gr-qc/9711063, to appear in the Proc. 8th Marcel Grossman Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theory (MG 8) (Jerusalem, Israel, 22–27 June 1997), T. Piran, ed. (World Scientific, Singapore).
Anderson, P. R., Taylor, B. E., and Hiscock, W. A. (1997). Phys. Rev. D 55, 6116.
Herman, R., and Hiscock, W. A. (1996). Phys. Rev. D 53, 3285.
Green, M. B., Schwarz, J. H., and Witten, E. (1987). Superstring Theory (Cambridge University Press, Cambridge).
Page, D. N. (1976). Phys. Rev. D 14, 3260.
Chambers, C. M., Hiscock, W. A., Taylor, B. E. (1997). “The ‘UPS’ and ‘DOWNS’ of a spinning black hole.” Preprint No. gr-qc/9710013, to appear in the Proc. 8th Marcel Grossman Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theory (MG8) (Jerusalem, Israel, 22–27 June 1997), T. Piran, ed. (World Scientific, Singapore).
Rights and permissions
About this article
Cite this article
Alexeyev, S.O., Sazhin, M.V. Four-Dimensional Dilatonic Black Holes in Gauss-Bonnet Extended String Gravity. General Relativity and Gravitation 30, 1187–1201 (1998). https://doi.org/10.1023/A:1026642827809
Issue Date:
DOI: https://doi.org/10.1023/A:1026642827809