- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Modifications of the BTZ black hole by a dilaton and scalar

Kevin C. K. Chan

  • Department of Physics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

PDF

Phys. Rev. D 55, 3564 – Published 15 March, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.3564

Abstract

We investigate some modifications of the static BTZ black hole solution due to a chosen asymptotically constant dilaton and scalar. New classes of static black hole solutions are obtained. One of the solutions contains the Martinez-Zanelli conformal black hole solution as a special case. Using the quasilocal formalism, we calculate their mass for a finite spatial region that contains the black hole. Their temperatures are also computed. Finally, using some of the curvature singularities as examples, we investigate whether or not a quantum particle behaves singularly.

View figure in article

References (45)

  1. S. Deser, R. Jackiw, and G.’t Hooft, Ann. Phys. (N.Y.)152220 (1984).
  2. R. B. Mann, “Lower Dimensional Black Holes: Inside and Out,” Report No. gr-qc/9501038, 1995 (unpublished).
  3. M. Banados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett.69, 1849 (1992); M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D48, 1506 (1993).
  4. K. C. K. Chan and R. B. Mann, Phys. Rev. D50, 6385 (1994); 52, 2600(E) (1995).
  5. J. P. S. Lemos, Phys. Lett. B353, 46 (1995).
  6. P. M. Sa, A. Kleber, and J. P. S. Lemos, Class. Quantum Grav.13, 125 (1996).
  7. L. O. Pimentel, Class. Quantum Grav.6, L263 (1989).
  8. D. Louis-Martinez, J. Gegenberg, and G. Kunstatter, Phys. Lett. B321, 193 (1994); J. Gegenberg, G. Kunstatter, and D. Louis-Martinez, Phys. Rev. D51, 1781 (1995); “Classical and Quantum Mechanics of Black Holes in Generic 2-D Dilaton Gravity,” Report No. gr-qc/9501017, 1995 (unpublished); D. Louis-Martinez and G. Kunstatter, Phys. Rev. D52, 3494 (1995).
  9. D. Wands, Class. Quantum Grav.11, 269 (1994).
  10. Y. Verbin, Phys. Rev. D50, 7318 (1994).
  11. C. Romero and F. Dahia, Int. J. Theor. Phys.33, 2091 (1994).
  12. S. Carlip, Class. Quantum Grav.12, 2853 (1995).
  13. C. Martinez and J. Zanelli, Phys. Rev. D54, 3830 (1996).
  14. K. Shiraishi and T. Maki, Phys. Rev. D49, 5286 (1994); Class. Quantum Grav.11, 695 (1994); G. Lifschytz and M. Oritz, Phys. Rev. D49, 1929 (1994); S. Hyun, G. H. Lee, and J. H. Yee, Phys. Lett. B322, 182 (1994); I. Ichinose and Y. Satoh, Nucl. Phys.B447, 340 (1995).
  15. J. D. Brown and J. W. York, Phys. Rev. D47, 1407 (1993); J. D. Brown, J. Creighton, and R. B. Mann, 50, 6394 (1994).
  16. J. D. Creighton and R. B. Mann, Phys. Rev. D52, 4569 (1995.
  17. G. T. Horowitz and D. Marolf, Phys. Rev. D52, 5670 (1995).
  18. R. M. Wald, General Relativity (University of Chicago Press, Chicago, 1984).
  19. M. A. Melvin, Class. Quantum Grav.3, 117 (1986).
  20. S. W. Hawking and G. T. Horowitz, Class. Quantum Grav.13, 1487 (1996).
  21. K. C. K. Chan, J. D. E. Creighton, and R. B. Mann, Phys. Rev. D54, 3892 (1996).
  22. M. C. Bento and O. Bertolami, “String Theory and Cosmology,” Report No. gr-qc/9505038, 1995 (unpublished).
  23. G. F. R. Ellis and M. S. Madsen, Class. Quantum Grav.8, 667 (1991).
  24. M. Trodden, V. Mukhanov, and R. Brandenberger, Phys. Lett. B316, 483 (1993); R. Moessner and M. Trodden, Phys. Rev. D51, 2801 (1995); R. Brandenberger, “Nonsingular Cosmology and Plank Scale Physics,” Report No. gr-qc/9503001, 1995 (unpublished); “Implementing Markov’s Limiting Curvature Hypothesis,” Report No. gr-qc/9509059, 1995 (unpublished).
  25. K. C. K. Chan and R. B. Mann, Class. Quantum Grav.12, 1609 (1995).
  26. O. Bechmann and O. Lechtenfeld, Class. Quantum Grav.12, 1473 (1995).
  27. F. C. Adams and K. Freese, Phys. Rev. D51, 6722 (1995); E. W. Mielke, and F. E. Schunck, 52, 672 (1995); G. Mangano, G. Miele, and C. Stornaiolo, Mod. Phys. Lett. A10, 1977 (1995).
  28. G. Dvali, Phys. Rev. Lett.74, 5178 (1995).
  29. R. Gregory and J. A. Harvey, Phys. Rev. D47, 2411 (1993).
  30. S. J. Poletti and D. L. Wiltshire, Phys. Rev. D507260 (1994); 52, 3753(E) (1995).
  31. L. P. Chimento and A. S. Jakubi, Int. J. Mod. Phys. D5, 71 (1996).
  32. D. Garfinkle, G. T. Horowitz, and A. Strominger, Phys. Rev. D43, 3140 (1991); 45, 3888(E) (1992).
  33. G. J. Cheng, W. F. Lin, and R. R. Hsu, J. Math. Phys. (N.Y.)35, 4839 (1994).
  34. H. S. Shin and K. S. Soh, Phys. Rev. D52, 981 (1995); B. Stoetzel, 52, 2192 (1995).
  35. L. J. Romans, Nucl. Phys.B383, 395 (1992).
  36. Y. Hosotani, Phys. Rev. D32, 1949 (1985); M. S. Madsen, Class. Quantum Grav.5, 627 (1988).
  37. J. D. Bekenstein, Ann. Phys. (N.Y.)91, 75 (1975).
  38. M. Henneaux and C. Teitelboim, Phys. Lett.143B, 415 (1984); C. Teitelboim, 158B, 293 (1985).
  39. M. Visser, Phys. Rev. D485697 (1993).
  40. J. D. Creighton and R. B. Mann, “Thermodynamics of Dilatonic Black Holes in n Dimensions,” Report No. gr-qc/9511012, 1995 (unpublished).
  41. R. M. Wald, J. Math. Phys. (N.Y.)21, 2802 (1980).
  42. K. C. K. Chan and R. B. Mann, Phys. Lett. B371, 199 (1996).
  43. K. C. K. Chan, J. H. Horne, and R. B. Mann, Nucl. Phys.B447, 441 (1995).
  44. R.-G. Cai and D.-F. Zhao, Phys. Lett. A208, 281 (1995).
  45. B. Wang and R. K. Su, Phys. Rev. D53, 1950 (1996).

Outline

Information

Phys. Rev. D 55, 3564– Published 15 March, 1997
  • Received 15 March 1996

© 1997 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation