A new class of exact hairy black hole solutions

作者：Kolyvaris Theodoros; Koutsoumbas George; Papantonopoulos Eleftherios^*; Siopsis George

来源：General Relativity and Gravitation, 2011, 43(1): 163-180.

DOI：10.1007/s10714-010-1079-0

• Black holes
• Hairy black holes

We present a new class of black hole solutions with a minimally coupled scalar field in the presence of a negative cosmological constant. We consider an one-parameter family of self-interaction potentials parametrized by a dimensionless parameter g. When g = 0, we recover the conformally invariant solution of the Martinez-Troncoso-Zanelli (MTZ) black hole. A non-vanishing g signals the departure from conformal invariance. Thermodynamically, there is a critical temperature at vanishing black hole mass, where a higher-order phase transition occurs, as in the case of the MTZ black hole. Additionally, we obtain a branch of hairy solutions which undergo a first-order phase transition at a second critical temperature which depends on g and it is higher than the MTZ critical temperature. As g -> 0, this second critical temperature diverges.

• 出版日期2011-1