Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-17
Phys.Rev.D76:024011,2007
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 17 pages without figures
Scientific paper
10.1103/PhysRevD.76.024011
It is well-known that there exists a Hawking-Page phase transition between a spherical AdS black hole and a thermal AdS space. The phase transition does not happen between a Ricci flat AdS black hole whose horizon is a Ricci flat space and a thermal AdS space in the Poincare coordinates. However, the Hawking-Page phase transition occurs between a Ricci flat AdS black hole and an AdS soliton if at least one of horizon coordinates for the Ricci flat black hole is compact. We show a similar phase transition betwen the Ricci flat black holes and deformed AdS solitons in the Gauss-Bonnet gravity and the dilaton gravity with a Liouville-type potential including the gauged supergravity coming from the spherical reduction of Dp-branes in type II supergravity. In contrast to Einstein gravity, we find that the high temperature phase can be dominated either by black holes or deformed AdS solitons depending on parameters.
Cai Rong-Gen
Kim Sang Pyo
Wang Bin
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