caa a22 4500 445385677 CHVBK 20180317143031.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10714-010-1079-0 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1079-0 A new class of exact hairy black hole solutions [Elektronische Daten] [Theodoros Kolyvaris, George Koutsoumbas, Eleftherios Papantonopoulos, George Siopsis] 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. Springer Science+Business Media, LLC, 2010 Black holes nationallicence Hairy black holes nationallicence Kolyvaris Theodoros Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece aut Koutsoumbas George Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece aut Papantonopoulos Eleftherios Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece aut Siopsis George Department of Physics and Astronomy, The University of Tennessee, 37996-1200, Knoxville, USA aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/1(2011-01-01), 163-180 0001-7701 43:1<163 2011 43 10714 https://doi.org/10.1007/s10714-010-1079-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1079-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kolyvaris Theodoros Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece aut NATIONALLICENCE 700 1- Koutsoumbas George Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece aut NATIONALLICENCE 700 1- Papantonopoulos Eleftherios Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece aut NATIONALLICENCE 700 1- Siopsis George Department of Physics and Astronomy, The University of Tennessee, 37996-1200, Knoxville, USA aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/1(2011-01-01), 163-180 0001-7701 43:1<163 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer