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

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

2008-01-16

arxiv.org/abs/0801.2434v2

Phys.Lett.B663:111-117,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 7 figures, version to appear in PLB

Scientific paper

10.1016/j.physletb.2008.03.046

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.

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