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A new class of exact hairy black hole solutions

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Abstract

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.

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Authors and Affiliations

  1. Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece

    Theodoros Kolyvaris, George Koutsoumbas & Eleftherios Papantonopoulos

  2. Department of Physics and Astronomy, The University of Tennessee, Knoxville, 37996-1200, USA

    George Siopsis

Authors
  1. Theodoros Kolyvaris
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  2. George Koutsoumbas
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  3. Eleftherios Papantonopoulos
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  4. George Siopsis
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Correspondence to Eleftherios Papantonopoulos.

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Kolyvaris, T., Koutsoumbas, G., Papantonopoulos, E. et al. A new class of exact hairy black hole solutions. Gen Relativ Gravit 43, 163–180 (2011). https://doi.org/10.1007/s10714-010-1079-0

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