TY - JOUR
T1 - Topological black holes in pure Gauss-Bonnet gravity and phase transitions
AU - Aránguiz, Ligeia
AU - Kuang, Xiao Mei
AU - Miskovic, Olivera
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/3/14
Y1 - 2016/3/14
N2 - We study charged, static, topological black holes in pure Gauss-Bonnet gravity in asymptotically AdS space. As in general relativity, the theory possesses a unique nondegenerate AdS vacuum. It also admits charged black hole solutions which asymptotically behave as the Reissner-Nordström AdS black hole. We discuss black hole thermodynamics of these black holes. Then we study phase transitions in a dual quantum field theory in four dimensions, with the Stückelberg scalar field as an order parameter. We find in the probe limit that the black hole can develop hair below some critical temperature, which suggests a phase transition. Depending on the scalar coupling constants, the phase transition can be first or second order. Analysis of the free energy reveals that, comparing the two solutions, the hairy state is energetically favorable, thus a phase transition will occur in a dual field theory.
AB - We study charged, static, topological black holes in pure Gauss-Bonnet gravity in asymptotically AdS space. As in general relativity, the theory possesses a unique nondegenerate AdS vacuum. It also admits charged black hole solutions which asymptotically behave as the Reissner-Nordström AdS black hole. We discuss black hole thermodynamics of these black holes. Then we study phase transitions in a dual quantum field theory in four dimensions, with the Stückelberg scalar field as an order parameter. We find in the probe limit that the black hole can develop hair below some critical temperature, which suggests a phase transition. Depending on the scalar coupling constants, the phase transition can be first or second order. Analysis of the free energy reveals that, comparing the two solutions, the hairy state is energetically favorable, thus a phase transition will occur in a dual field theory.
UR - http://www.scopus.com/inward/record.url?scp=84960847889&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.93.064039
DO - 10.1103/PhysRevD.93.064039
M3 - Article
AN - SCOPUS:84960847889
VL - 93
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 6
M1 - 064039
ER -