Phase transition for black holes with scalar hair and topological black holes

Preprint, Article English OPEN
Myung, Yun Soo (2008)
  • Publisher: Elsevier BV
  • Journal: Physics Letters B, volume 663, issue 1-2, pages 111-117 (issn: 0370-2693)
  • Related identifiers: doi: 10.1016/j.physletb.2008.03.046
  • Subject: High Energy Physics - Theory | Nuclear and High Energy Physics
    arxiv: General Relativity and Quantum Cosmology | Astrophysics::High Energy Astrophysical Phenomena

We study phase transitions between black holes with scalar hair and topological black holes in asymptotically anti-de Sitter spacetimes. As the ground state solutions, we introduce the non-rotating BTZ black hole in three dimensions and topological black hole with hyperbolic horizon in four dimensions. For the temperature matching only, we show that the phase transition between black hole with scalar hair (Martinez-Troncoso-Zanelli black hole) and topological black hole is second-order by using differences between two free energies. However, we do not identify what order of the phase transition between scalar and non-rotating BTZ black holes occurs in three dimensions, although there exists a possible decay of scalar black hole to non-rotating BTZ black hole.
  • References (28)
    28 references, page 1 of 3

    [1] J. P. S. Lemos, Phys. Lett. B 353 (1995) 46 [arXiv:gr-qc/9404041].

    [2] L. Vanzo, Phys. Rev. D 56 (1997) 6475 [arXiv:gr-qc/9705004].

    [3] D. R. Brill, J. Louko and P. Peldan, Phys. Rev. D [arXiv:gr-qc/9705012].

    [4] D. J. Gross, M. J. Perry and L. G. Yaffe, Phys. Rev. D 25 (1982) 330.

    [5] J. W. York, Phys. Rev. D 33 (1986) 2092.

    [6] S. W. Hawking and D. N. Page, Commun. Math. Phys. 87 (1983) 577.

    [7] J. D. Brown, J. Creighton and R. B. Mann, Phys. Rev. D 50 (1994) 6394 [gr-qc/9405007].

    [8] E. Witten, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131].

    [9] Y. S. Myung, Phys. Lett. B 645 (2007) 369 [arXiv:hep-th/0603200].

    [10] G. T. Horowitz and R. C. Myers, Phys. Rev. D 59 (1999) 026005 [arXiv:hep-th/9808079].

  • Metrics
    No metrics available
Share - Bookmark